Method, device and equipment for determining thermal resistance of slag film of casting powder and storage medium

Abstract

The invention provides a method, a device and equipment for determining the thermal resistance of a casting powder film and a storage medium. The method comprises the steps that in the continuous casting process, the crystallizer heat flux density is determined according to the crystallizer cooling water flow, the inlet and outlet water temperature of crystallizer cooling water and the effective heat transfer area of a crystallizer; determining the total thermal resistance between the molten steel and the crystallizer cooling water in the continuous casting process according to the crystallizer heat flux density, the molten steel melting point and the average temperature of the crystallizer cooling water; determining the thermal resistance of a molten steel blank shell, the thermal resistance of a crystallizer copper plate and the convection thermal resistance between the crystallizer copper plate and crystallizer cooling water in the continuous casting process; and according to the total thermal resistance, the molten steel blank shell thermal resistance, the crystallizer copper plate thermal resistance and the convection thermal resistance, the covering slag film thermal resistance is determined. The calculation of the thermal resistance of the casting powder film is directly based on real data of a production site, and the accuracy and practicability of the thermal resistance measurement of the casting powder film can be effectively improved without depending on a laboratory simulation continuous casting condition or simulation calculation.

Description

Technical Field

[0001] This application relates to the field of metal processing technology, and in particular to a method, apparatus, equipment, and storage medium for determining the thermal resistance of a protective slag film. Background Technology

[0002] Continuous casting protective slag is a layer of artificially synthesized molten slag added to the surface of the molten steel in the crystallizer during the continuous casting process. It is crucial for producing high-quality cast billets and plays an important role in heat insulation, preventing secondary oxidation of molten steel, absorbing and dissolving non-metallic inclusions, lubricating the billet shell, and controlling heat transfer.

[0003] The reason why continuous casting flux can control heat transfer is that it solidifies into a glassy or crystalline solid film near the mold wall. This solid film significantly increases the thermal resistance between the mold and the billet shell. In other words, by adjusting the thermal resistance of the flux film, the heat transfer rate and uniformity of the solidified billet shell can be controlled.

[0004] In related technologies, the thermal resistance of the protective slag film is mainly determined through laboratory simulation measurement and numerical simulation calculation, thereby achieving the control of the thermal resistance of the protective slag film. However, laboratory simulation measurement requires simulating continuous casting conditions in the laboratory, which is extremely difficult and costly. On the other hand, numerical simulation calculation is highly dependent on the accuracy of the model settings and the reliability of the material parameters, resulting in low accuracy and practicality. Summary of the Invention

[0005] This application provides a method, apparatus, device, and storage medium for determining the thermal resistance of a protective slag film, which can reduce the measurement difficulty and cost of the thermal resistance of the protective slag film, and significantly improve the measurement accuracy and practicality of the thermal resistance of the protective slag film.

[0006] In a first aspect, this application provides a method for determining the thermal resistance of a protective slag film, the method comprising: During continuous casting, the flow rate of cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water in the crystallizer are obtained, and the effective heat transfer area of ​​the crystallizer is determined. The heat flux density of the crystallizer is determined based on the flow rate of the cooling water in the crystallizer, the inlet and outlet temperatures of the cooling water in the crystallizer, and the effective heat transfer area of ​​the crystallizer. To obtain the melting point of molten steel and the average temperature of the cooling water in the crystallizer during the continuous casting process; The total thermal resistance between molten steel and cooling water in the continuous casting process is determined based on the heat flux density of the crystallizer, the melting point of molten steel, and the average temperature of the cooling water in the crystallizer. Determine the thermal resistance of the steel billet shell, the thermal resistance of the copper plate in the crystallizer, and the convective thermal resistance between the copper plate in the crystallizer and the cooling water in the crystallizer during the continuous casting process. The thermal resistance of the protective slag film is determined based on the total thermal resistance, the thermal resistance of the steel billet shell, the thermal resistance of the copper plate in the crystallizer, and the convection thermal resistance.

[0007] In some possible implementations, during continuous casting, the flow rate of the cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water are obtained, and the effective heat transfer area of ​​the crystallizer is determined, including: Obtain the cross-sectional dimension parameters of the billet and the dimension parameters of the crystallizer during the continuous casting process; wherein, the cross-sectional dimension parameters of the billet include at least one of the cross-sectional width, cross-sectional area and perimeter of the billet, and the dimension parameters of the crystallizer include at least one of the length, cross-sectional area and perimeter of the crystallizer. The effective heat transfer area of ​​the crystallizer is determined based on the cross-sectional dimensions of the billet and the dimensions of the crystallizer.

[0008] In some possible implementations, the heat flux density of the crystallizer is determined based on the crystallizer cooling water flow rate, the inlet and outlet temperatures of the crystallizer cooling water, and the effective heat transfer area of ​​the crystallizer, including: The heat flux density of the crystallizer is determined based on the flow rate of the cooling water in the crystallizer, the inlet and outlet temperatures of the cooling water in the crystallizer, the density of the cooling water in the crystallizer, the specific heat capacity of the cooling water in the crystallizer, and the effective heat transfer area of ​​the crystallizer.

[0009] In some possible implementations, determining the thermal resistance of the molten steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during continuous casting includes: The thermal conductivity, flow rate, kinematic viscosity, and Prandtl number of the crystallizer cooling water are obtained, as well as the equivalent diameter of the crystallizer cooling water pipe. The Reynolds number for forced convection of the crystallizer cooling water is determined based on the equivalent diameter of the crystallizer cooling water pipe, the flow velocity of the crystallizer cooling water, and the kinematic viscosity. Determine the Nusselt number for forced convection of cooling water in the crystallizer based on the Reynolds number and Prandtl number; The convective thermal resistance between the copper plate in the crystallizer and the cooling water in the continuous casting process is determined based on the Nusselt number, equivalent diameter, and thermal conductivity.

[0010] In some possible implementations, determining the thermal resistance of the molten steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during continuous casting includes: To obtain the thickness of the steel billet shell and the thermal conductivity of the billet shell during the continuous casting process; The thermal resistance of the steel billet shell is determined based on the billet shell thickness and the billet shell thermal conductivity.

[0011] In some possible implementations, determining the thermal resistance of the molten steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during continuous casting includes: Obtain the thickness and thermal conductivity of the copper plate in the crystallizer. The thermal resistance of the copper plate in the crystallizer is determined based on its thickness and thermal conductivity.

[0012] Secondly, this application provides a device for determining the thermal resistance of a protective slag film, the device comprising: The cooling water parameter acquisition module is used to acquire the flow rate of the cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water in the crystallizer during the continuous casting process, and to determine the effective heat transfer area of ​​the crystallizer. The crystallizer heat flux density determination module is used to determine the crystallizer heat flux density based on the crystallizer cooling water flow rate, the inlet and outlet temperatures of the crystallizer cooling water, and the effective heat transfer area of ​​the crystallizer. The cooling water average temperature determination module is used to obtain the melting point of molten steel and the average temperature of the cooling water in the crystallizer during the continuous casting process. The total thermal resistance determination module is used to determine the total thermal resistance between molten steel and cooling water in the continuous casting process based on the heat flux density of the crystallizer, the melting point of molten steel, and the average temperature of the cooling water in the crystallizer. The first thermal resistance determination module is used to determine the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process. The second thermal resistance determination module is used to determine the thermal resistance of the protective slag film based on the total thermal resistance, the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convection thermal resistance.

[0013] Thirdly, this application provides an electronic device, which includes: a processor and a memory storing computer program instructions; the processor reads and executes the computer program instructions to implement the method for determining the thermal resistance of the protective slag film as described above.

[0014] Fourthly, this application provides a computer-readable storage medium storing computer program instructions, which, when executed by a processor, implement the method for determining the thermal resistance of the protective slag film as described above.

[0015] Fifthly, this application provides a computer program product in which instructions, when executed by a processor of an electronic device, cause the electronic device to perform the method for determining the thermal resistance of the protective slag film as described above.

[0016] The method, apparatus, equipment, and storage medium for determining the thermal resistance of the protective slag film provided in this application embodiment obtain the flow rate and inlet / outlet temperature of the cooling water in the crystallizer, determine the effective heat transfer area of ​​the crystallizer, and then determine the heat flux density of the crystallizer. Subsequently, the melting point of the molten steel and the average temperature of the cooling water in the crystallizer during the continuous casting process are obtained, thereby determining the total thermal resistance between the molten steel and the cooling water in the crystallizer during the continuous casting process. Finally, the thermal resistance of the protective slag film is obtained based on the thermal resistance of the molten steel billet shell, the thermal resistance of the copper plate in the crystallizer, the convective thermal resistance between the copper plate in the crystallizer and the cooling water in the crystallizer during the continuous casting process, and the total thermal resistance. The total thermal resistance can be directly calculated based on data that can be collected directly from the production site. The thermal resistance of the protective slag film is calculated by combining the thermal resistance of the steel billet shell (excluding the thermal resistance of the protective slag film), the thermal resistance of the copper plate in the crystallizer, and the convective thermal resistance between the copper plate and the cooling water in the crystallizer. There is no need to measure the thermal resistance of the protective slag film under simulated continuous casting conditions in the laboratory. It can be indirectly calculated by subtracting other thermal resistances from the total thermal resistance, which significantly reduces the measurement cost and difficulty. In addition, since the calculation of the thermal resistance of the protective slag film is directly based on real data from the production site, it does not rely on the accuracy of the model settings and the reliability of material parameters during simulation calculation, which can effectively improve the accuracy and practicality of the measurement of the thermal resistance of the protective slag film. Attached Figure Description

[0017] This application can be better understood from the following description of specific embodiments in conjunction with the accompanying drawings, wherein: Other features, objects, and advantages of this application will become more apparent from the following detailed description of non-limiting embodiments with reference to the accompanying drawings, wherein the same or similar reference numerals denote the same or similar features.

[0018] Figure 1 This is a flowchart of a method for determining the thermal resistance of a protective slag film provided in some embodiments of this application; Figure 2 This is a flowchart illustrating the process for determining the thermal resistance of a protective slag film, provided in some embodiments of this application. Figure 3 This is a schematic diagram of the structure of the device for determining the thermal resistance of the protective slag film provided in some embodiments of this application; Figure 4 This is a schematic diagram of the hardware structure of the electronic device provided in the embodiments of this application. Detailed Implementation

[0019] The features and exemplary embodiments of various aspects of this application will be described in detail below. To make the objectives, technical solutions, and advantages of this application clearer, the application will be further described in detail below with reference to the accompanying drawings and specific embodiments. It should be understood that the specific embodiments described herein are only intended to explain this application and not to limit it. For those skilled in the art, this application can be implemented without some of these specific details. The following description of the embodiments is merely to provide a better understanding of this application by illustrating examples.

[0020] It should be noted that, in this document, relational terms such as "first" and "second" are used merely to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising..." does not exclude the presence of additional identical elements in the process, method, article, or apparatus that includes said element.

[0021] Continuous casting flux is an artificially synthesized molten slag layer added to the surface of the molten steel in the crystallizer during continuous casting. It is crucial for producing high-quality cast billets and plays the following important roles: 1) Thermal insulation: Powdered continuous casting protective slag covers the surface of molten steel, forming a thermal insulation layer that effectively prevents excessive heat loss from the molten steel surface due to radiation and convection.

[0022] 2) Preventing secondary oxidation of molten steel: The liquid continuous casting protective slag layer physically isolates the molten steel from contact with air (mainly oxygen and nitrogen), effectively preventing secondary oxidation of the molten steel.

[0023] 3) Absorption and dissolution of non-metallic inclusions: A floating in molten steel Si Inclusions can be absorbed and dissolved by the liquid continuous casting protective slag, thereby improving the cleanliness of the molten steel.

[0024] 4) Lubricating the billet shell: The liquid continuous casting protective slag can flow into the gap between the copper wall of the crystallizer and the solidified billet shell, thereby forming a liquid lubricating film, which greatly reduces the friction between the nascent billet shell and the crystallizer wall, and prevents serious accidents such as sticking or leakage during the billet pulling process.

[0025] 5) Heat transfer control: The liquid slag film near the crystallizer wall solidifies into a glassy or crystalline protective slag film. The presence of this protective slag film significantly increases the thermal resistance between the crystallizer and the billet shell. By adjusting the thermal resistance of the protective slag, the heat transfer rate and uniformity of the solidified billet shell can be improved.

[0026] In related technologies, the thermal resistance of the protective slag film is mainly determined through laboratory simulation measurements and numerical simulation calculations, thereby enabling the control of the thermal resistance of the protective slag film. However, laboratory simulation measurements require simulating continuous casting conditions in a laboratory setting. For example, classic methods such as the hot wire method / plate method can be used to measure the thermal conductivity of materials, and with modifications, can also be used to measure the slag film. In addition, differential thermal analysis can measure thermal characteristic parameters such as the melting, solidification, and crystallization behavior of the protective slag, but it usually cannot directly provide the thermal resistance value. Laboratory measurement schemes all suffer from the problems of extremely high measurement difficulty and cost. For numerical simulation calculations, professional simulation software can be used to establish a mathematical model that includes solidification, flow, and heat transfer. In the software, the thermophysical properties of the protective slag need to be precisely defined, such as the thermal conductivity, density, specific heat, and crystallinity of the solid and liquid states. Thus, the software can output the temperature field and heat flow field within the crystallizer through iterative calculations, thereby directly extracting the thermal resistance value of the slag film region. In other words, numerical simulation calculations are highly dependent on the accuracy of the model settings and the reliability of the material parameters, resulting in lower accuracy and practicality.

[0027] To address the aforementioned problems, embodiments of this application provide a method, apparatus, device, and storage medium for determining the thermal resistance of a protective slag film. The method for determining the thermal resistance of a protective slag film provided in this application embodiment will be described first below.

[0028] Figure 1 A flowchart illustrating a method for determining the thermal resistance of a protective slag film according to an embodiment of this application is shown. Figure 1 As shown, the method includes the following steps: S101 to S106.

[0029] S101: During continuous casting, obtain the flow rate of the cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water in the crystallizer, and determine the effective heat transfer area of ​​the crystallizer.

[0030] S102: Determine the heat flux density of the crystallizer based on the flow rate of the cooling water in the crystallizer, the inlet and outlet temperatures of the cooling water in the crystallizer, and the effective heat transfer area of ​​the crystallizer.

[0031] S103: Obtain the melting point of molten steel and the average temperature of the cooling water in the crystallizer during the continuous casting process.

[0032] S104: Determine the total thermal resistance between molten steel and cooling water in the continuous casting process based on the heat flux density of the crystallizer, the melting point of molten steel, and the average temperature of the cooling water in the crystallizer.

[0033] S105: Determine the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process.

[0034] S106: Determine the thermal resistance of the protective slag film based on the total thermal resistance, the thermal resistance of the steel billet shell, the thermal resistance of the copper plate in the crystallizer, and the convection thermal resistance.

[0035] In practice, the thermal resistance of the protective slag film can be calculated by subtracting the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convection thermal resistance from the total thermal resistance.

[0036] Therefore, the total thermal resistance can be directly calculated based on data that can be directly collected from the production site, such as the flow rate of the crystallizer cooling water, the inlet and outlet temperatures of the crystallizer cooling water, the effective heat transfer area of ​​the crystallizer, the melting point of the molten steel, and the average temperature of the crystallizer cooling water. The thermal resistance of the protective slag film can then be calculated by combining the thermal resistance of the molten steel billet shell (excluding the thermal resistance of the protective slag film), the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water. This eliminates the need to measure the thermal resistance of the protective slag film under simulated continuous casting conditions in the laboratory. It can be indirectly calculated by subtracting other thermal resistances from the total thermal resistance, thus significantly reducing measurement costs and difficulty. Furthermore, since the calculation of the thermal resistance of the protective slag film is directly based on real data from the production site, it does not rely on the accuracy of the model settings and the reliability of material parameters during simulation calculations, which can effectively improve the accuracy and practicality of the measurement of the thermal resistance of the protective slag film.

[0037] In some embodiments, during continuous casting, the flow rate of the cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water in the crystallizer are obtained, and the effective heat transfer area of ​​the crystallizer is determined, including: Obtain the cross-sectional dimension parameters of the billet and the dimension parameters of the crystallizer during the continuous casting process; wherein, the cross-sectional dimension parameters of the billet include at least one of the cross-sectional width, cross-sectional area and perimeter of the billet, and the dimension parameters of the crystallizer include at least one of the cross-sectional length, cross-sectional area and perimeter of the crystallizer.

[0038] The effective heat transfer area of ​​the crystallizer is determined based on the cross-sectional dimensions of the billet and the dimensions of the crystallizer.

[0039] In practical implementation, relevant parameter values ​​used to calculate the effective heat transfer area of ​​the crystallizer can be obtained. These parameter values ​​should be relevant parameters that can be collected or obtained on the production site. Specifically, the slab cross-sectional dimension parameters and crystallizer dimension parameters during the continuous casting process can be obtained. Among them, the slab cross-sectional dimension parameters can include at least one of the slab cross-sectional width, slab cross-sectional area, and slab cross-sectional perimeter. The crystallizer dimension parameters can include at least one of the crystallizer length, crystallizer cross-sectional area, and crystallizer cross-sectional perimeter.

[0040] Based on this, the effective heat transfer area of ​​the crystallizer can be calculated according to the following formula (1): A = B·C (1) Where A is the effective heat transfer area of ​​the crystallizer, in m². 2 B represents the width of the billet cross section in meters; C represents the length of the crystallizer in meters.

[0041] The width of the billet section can be obtained directly, or it can be calculated based on the obtained cross-sectional area and / or perimeter of the billet section. Similarly, the length of the crystallizer can be obtained directly, or it can be calculated based on the obtained cross-sectional area and / or perimeter of the crystallizer section.

[0042] In this embodiment, since the effective heat transfer area of ​​the crystallizer directly affects the calculation of the heat flux density of the crystallizer, the ability to accurately calculate the effective heat transfer area of ​​the crystallizer based on the data collected on site helps to improve the accuracy of the calculation of the thermal resistance of the protective slag film.

[0043] In some embodiments, determining the heat flux density of the crystallizer based on the crystallizer cooling water flow rate, the inlet and outlet temperatures of the crystallizer cooling water, and the effective heat transfer area of ​​the crystallizer includes: The heat flux density of the crystallizer is determined based on the flow rate of the cooling water in the crystallizer, the inlet and outlet temperatures of the cooling water in the crystallizer, the density of the cooling water in the crystallizer, the specific heat capacity of the cooling water in the crystallizer, and the effective heat transfer area of ​​the crystallizer.

[0044] In practical implementation, the heat flux density of the crystallizer can be calculated according to the following formula (2): (2) Where q is the heat flux density of the crystallizer, in W / m³. 2 C p This refers to the specific heat capacity of the cooling water for the crystallizer, expressed in J / (kg·℃). Density of cooling water for crystallizer, in kg / m³ 3 Q represents the cooling water flow rate of the crystallizer, in meters per second (m³). 3 / s; A represents the temperature difference between the inlet and outlet cooling water of the crystallizer, in °C; A is the effective heat transfer area of ​​the crystallizer, in m². 2 .

[0045] In this embodiment, the heat flux density of the crystallizer is determined by combining the flow rate of the crystallizer cooling water, the inlet and outlet temperatures of the crystallizer cooling water, the density of the crystallizer cooling water, the specific heat capacity of the crystallizer cooling water, and the effective heat transfer area of ​​the crystallizer. The heat absorbed by the crystallizer cooling water originates from the heat transferred from the molten steel through the copper plate of the crystallizer; therefore, the temperature rise of the crystallizer cooling water directly reflects the actual heat flux density of the crystallizer. Since these parameters can be collected in real time on-site, the calculation of the crystallizer heat flux density does not rely on model prediction but is determined by actual measurement data, improving the accuracy of the crystallizer heat flux density calculation and thus improving the accuracy of the calculation of the thermal resistance of the protective slag film.

[0046] Based on the calculated heat flux density of the crystallizer, the melting point of molten steel and the average temperature of the cooling water in the crystallizer during the continuous casting process can be obtained; and the total thermal resistance between the molten steel and the cooling water in the crystallizer during the continuous casting process can be determined according to the heat flux density of the crystallizer, the melting point of molten steel and the average temperature of the cooling water in the crystallizer.

[0047] Specifically, the total thermal resistance between molten steel and the cooling water of the crystallizer during continuous casting can be calculated according to the following formula (3): R total = (T s -T water ) / q (3) Among them, R total The total thermal resistance between molten steel and the cooling water of the crystallizer during continuous casting, expressed in meters (m). 2 ·℃) / W;T s T represents the melting point of molten steel during continuous casting, expressed in °C. water q represents the average temperature of the cooling water in the crystallizer during the continuous casting process, in °C; q represents the heat flux density of the crystallizer, in W / m³. 2 .

[0048] Based on the formula for calculating the heat flux density of the crystallizer mentioned above, the total thermal resistance between the molten steel and the cooling water of the crystallizer during continuous casting can also be calculated according to the following formula (4): (4) Among them, R total The total thermal resistance between molten steel and the cooling water of the crystallizer during continuous casting, expressed in meters (m). 2 ·℃) / W;T s T represents the melting point of molten steel during continuous casting, expressed in °C. water The average temperature of the cooling water in the crystallizer during the continuous casting process, expressed in °C (°C). pThis refers to the specific heat capacity of the cooling water for the crystallizer, expressed in J / (kg·℃). Density of cooling water for crystallizer, in kg / m³ 3 Q represents the cooling water flow rate of the crystallizer, in meters per second (m³). 3 / s; A represents the temperature difference between the inlet and outlet cooling water of the crystallizer, in °C; A is the effective heat transfer area of ​​the crystallizer, in m². 2 .

[0049] Based on this, the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process can be determined. The thermal resistance of the protective slag film can be calculated by subtracting the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water from the total thermal resistance calculated by the above steps.

[0050] In some embodiments, determining the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during continuous casting includes: The thermal conductivity, flow rate, kinematic viscosity, and Prandtl number of the crystallizer cooling water are obtained, as well as the equivalent diameter of the crystallizer cooling water pipe. The Reynolds number for forced convection of the crystallizer cooling water is determined based on the equivalent diameter of the crystallizer cooling water pipe, the flow velocity of the crystallizer cooling water, and the kinematic viscosity. Determine the Nusselt number for forced convection of cooling water in the crystallizer based on the Reynolds number and Prandtl number; The convective thermal resistance between the copper plate in the crystallizer and the cooling water in the continuous casting process is determined based on the Nusselt number, equivalent diameter, and thermal conductivity.

[0051] In practical applications, the Reynolds number for forced convection of cooling water in the crystallizer can be calculated using the following formula (5): (5) in, The Reynolds number is the Reynolds number when the cooling water in the crystallizer is under forced convection. The flow rate of the cooling water in the crystallizer is expressed in m / s. The kinematic viscosity of the cooling water for the crystallizer, in m³. 2 / s.

[0052] Furthermore, the Nusselt number during forced convection of the crystallizer cooling water can be calculated using the following formula (6): (6) in, The Nusselt number is the number of the crystallizer cooling water under forced convection. The Reynolds number is the Reynolds number when the cooling water in the crystallizer is under forced convection. To obtain the Prandtl number of the crystallizer cooling water under the average temperature conditions of the crystallizer cooling water.

[0053] Furthermore, in order to calculate the convective thermal resistance between the copper plate of the crystallizer and the cooling water of the crystallizer during the continuous casting process, the convective heat transfer coefficient between the copper plate of the crystallizer and the cooling water of the crystallizer can be calculated according to the following formula (7): (7) in, The convective heat transfer coefficient between the copper plate of the crystallizer and the cooling water of the crystallizer is expressed in W / (m2·℃). The thermal conductivity of the cooling water for the crystallizer is expressed in W / (m·℃). This is the Nusselt number when the cooling water in the crystallizer is subjected to forced convection.

[0054] It can be seen that the convective thermal resistance R between the copper plate in the crystallizer and the cooling water in the crystallizer during the continuous casting process is... 对流 =1 / R 对流 The unit is (m) 2 ·℃) / W.

[0055] In this embodiment, the flow state of the fluid in the pipe (represented by the Reynolds number) and the heat exchange capacity (represented by the Nusselt number) can accurately reflect the ease with which the cooling water carries away heat. The stronger the convective heat transfer capacity, the smaller the convective thermal resistance. Based on this, using the aforementioned physical formulas and parameters such as the thermal conductivity, flow velocity, kinematic viscosity, Prandtl number, and equivalent diameter of the crystallizer cooling water pipes that can be obtained on-site, the convective thermal resistance can be accurately calculated without relying on empirical values. This accurately reflects the convective thermal resistance in the actual continuous casting process, thereby improving the accuracy of convective thermal resistance calculation and, consequently, the accuracy of the protective slag film thermal resistance calculation.

[0056] In some embodiments, determining the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during continuous casting includes: To obtain the thickness of the steel billet shell and the thermal conductivity of the billet shell during the continuous casting process; The thermal resistance of the steel billet shell is determined based on the billet shell thickness and the billet shell thermal conductivity.

[0057] In practical implementation, the thermal resistance of the steel billet shell during continuous casting can be calculated according to the following formula (8): (8) Among them, R 坯壳 Thermal resistance of the steel billet shell during continuous casting, in meters (m). 2 ·℃) / W; The thickness of the steel billet shell during continuous casting is expressed in meters (m). is the thermal conductivity of the billet shell, expressed in W / (m·℃).

[0058] In this embodiment, since the thickness parameter of the steel billet shell can be obtained on-site, and the thermal conductivity of the billet shell is determined by the steel grade itself, the thermal resistance of the steel billet shell can be accurately calculated based on the actual working conditions, thereby helping to improve the accuracy of the calculation of the thermal resistance of the protective slag film.

[0059] In some embodiments, determining the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during continuous casting includes: Obtain the thickness and thermal conductivity of the copper plate in the crystallizer. The thermal resistance of the copper plate in the crystallizer is determined based on its thickness and thermal conductivity.

[0060] In practical implementation, the thermal resistance of the copper plate in the crystallizer during continuous casting can be calculated according to the following formula (9): (9) Among them, R 铜板 Thermal resistance of the copper plate in the crystallizer during continuous casting, in meters (m). 2 ·℃) / W; The thickness of the copper plate in the crystallizer during continuous casting is expressed in meters (m). The value is the thermal conductivity of the copper plate in the crystallizer, expressed in W / (m·℃).

[0061] In this embodiment, since the structural dimensions of the crystallizer copper plate are relatively fixed and the thermal conductivity parameters of the copper plate are relatively easy to obtain, the specific thickness and thermal conductivity of the crystallizer copper plate can be obtained on-site or according to the relevant specifications of the crystallizer copper plate, thereby accurately calculating the thermal resistance of the crystallizer copper plate and further improving the accuracy of the calculation of the thermal resistance of the protective slag film.

[0062] Based on the foregoing, since the thermal resistance of the protective slag film can be obtained by subtracting the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water from the total thermal resistance, formula (10) can be obtained by combining formulas (4), (7), (8) and (9) for directly calculating the thermal resistance of the protective slag film: (10) Where R is the thermal resistance of the protective slag film, and the unit is (m). 2 ·℃) / W;T s T represents the melting point of molten steel during continuous casting, expressed in °C. water The average temperature of the cooling water in the crystallizer during the continuous casting process, expressed in °C; Cp This refers to the specific heat capacity of the cooling water for the crystallizer, expressed in J / (kg·℃). Density of cooling water for crystallizer, in kg / m³ 3 Q represents the cooling water flow rate of the crystallizer, in meters per second (m³). 3 / s; A represents the temperature difference between the inlet and outlet cooling water of the crystallizer, in °C; A is the effective heat transfer area of ​​the crystallizer, in m². 2 ; The convective heat transfer coefficient between the copper plate of the crystallizer and the cooling water of the crystallizer is expressed in W / (m2·℃). The thickness of the steel billet shell during continuous casting is expressed in meters (m). The thermal conductivity of the billet shell is expressed in W / (m·℃). The thickness of the copper plate in the crystallizer during continuous casting is expressed in meters (m). The value is the thermal conductivity of the copper plate in the crystallizer, expressed in W / (m·℃).

[0063] Therefore, the thermal resistance R of the protective slag film can be calculated separately. total R 对流 R 坯壳 and R 铜板 And through R total -(R) 对流 +R 坯壳 +R 铜板 Alternatively, the relevant parameters can be substituted into the above formula (10) to calculate the result directly.

[0064] In fact, the heat flux density of the crystallizer can also be calculated according to the following formula (11): (11) Where q is the heat flux density of the crystallizer, in W / m³. 2 ;T s T represents the melting point of molten steel during continuous casting, expressed in °C. water The average temperature of the cooling water in the crystallizer during the continuous casting process is expressed in °C. The convective heat transfer coefficient between the copper plate of the crystallizer and the cooling water of the crystallizer is expressed in W / (m2·℃). The thickness of the steel billet shell during continuous casting is expressed in meters (m). The thermal conductivity of the billet shell is expressed in W / (m·℃). The thickness of the copper plate in the crystallizer during continuous casting is expressed in meters (m). The value is the thermal conductivity of the copper plate in the crystallizer, expressed in W / (m·℃).

[0065] By combining formulas (2) and (11), we can directly obtain the above formula (10), which also conforms to the calculation principle of the thermal resistance of the protective slag film in the embodiments of this application.

[0066] The following will combine Figure 2 The embodiments of this application are further described below: Figure 2 The illustration shows an example flowchart of a process for determining the thermal resistance of a protective slag film according to an embodiment of this application. The process for determining the thermal resistance of the protective slag film may include the following steps: S201: Obtain the cooling water flow rate, inlet and outlet water temperature, and billet cross-sectional data of the crystallizer, and calculate the heat flow of the crystallizer.

[0067] In practical implementation, the flow rate of the cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water in the crystallizer can be obtained, as well as the cross-sectional dimension parameters of the billet and the dimension parameters of the crystallizer during the continuous casting process. Then, the effective heat transfer area of ​​the crystallizer can be calculated based on the cross-sectional dimension parameters of the billet and the dimension parameters of the crystallizer. Furthermore, the heat flux density of the crystallizer can be determined based on the flow rate of the cooling water in the crystallizer, the inlet and outlet temperatures of the cooling water in the crystallizer, the density of the cooling water in the crystallizer, the specific heat capacity of the cooling water in the crystallizer, and the effective heat transfer area of ​​the crystallizer.

[0068] S202: Obtain the melting point of molten steel and the average temperature of cooling water, and calculate the total thermal resistance between molten steel and cooling water.

[0069] In practical implementation, the melting point of molten steel and the average temperature of the cooling water in the crystallizer can be obtained during the continuous casting process. Based on the heat flux density of the crystallizer, the melting point of the molten steel, and the average temperature of the cooling water in the crystallizer, the total thermal resistance between the molten steel and the cooling water in the continuous casting process can be determined.

[0070] S203: Obtain the equivalent diameter of the cooling water pipe, the cooling water flow velocity, the thermal conductivity, the kinematic viscosity and Prandtl number, calculate the Reynolds number and Nusselt number, and obtain the convective heat transfer coefficient.

[0071] In practical implementation, the convective thermal resistance between the copper plate of the crystallizer and the cooling water of the crystallizer during continuous casting can be determined first. Specifically, the thermal conductivity, flow rate, kinematic viscosity, and Prandtl number of the cooling water of the crystallizer can be obtained, as well as the equivalent diameter of the cooling water pipe of the crystallizer. Then, based on the equivalent diameter of the cooling water pipe of the crystallizer, the flow rate of the cooling water of the crystallizer, and the kinematic viscosity, the Reynolds number of the cooling water of the crystallizer under forced convection can be determined. Subsequently, based on the Reynolds number and the Prandtl number, the Nusselt number of the cooling water of the crystallizer under forced convection can be determined. Finally, based on the Nusselt number, the equivalent diameter, and the thermal conductivity, the convective thermal resistance between the copper plate of the crystallizer and the cooling water of the crystallizer during continuous casting can be determined.

[0072] S204: Obtain the billet shell thickness, thermal conductivity, and copper plate thickness and thermal conductivity data, and calculate the thermal resistance of the protective slag film.

[0073] In practical implementation, based on the aforementioned steps, the thickness and thermal conductivity of the steel billet shell during the continuous casting process can be further obtained; the thermal resistance of the steel billet shell can then be determined based on the billet shell thickness and thermal conductivity. Similarly, the thickness and thermal conductivity of the crystallizer copper plate can be obtained; the thermal resistance of the crystallizer copper plate can then be determined based on these parameters. Therefore, the thermal resistance of the protective slag film can be determined based on the total thermal resistance, steel billet shell thermal resistance, crystallizer copper plate thermal resistance, and convective thermal resistance determined in the aforementioned steps.

[0074] The embodiments of this application will be further described below with reference to a specific example: In this embodiment, the known flow rate of the crystallizer cooling water is 3600 NL / min, the inlet temperature of the crystallizer cooling water is 36℃, the outlet temperature of the crystallizer cooling water is 44℃, the width of the billet cross-section is 1400mm, the length of the crystallizer is 900mm, and the density of the crystallizer cooling water is 1000 kg / m³. 3 The specific heat capacity of the cooling water for the crystallizer is 4180 J / (kg·℃); substituting the above data into formulas (1) and (2), the heat flux density of the crystallizer is calculated to be 1592381 W / m³. 2 .

[0075] Furthermore, assuming the molten steel is a pure substance with the same melting and freezing point of 1520℃, and the average temperature of the cooling water is 40℃, substituting the heat flux density of the crystallizer, the melting point of the molten steel, and the average temperature of the cooling water in the crystallizer into formula (3), the total thermal resistance between the molten steel and the cooling water in the crystallizer during continuous casting can be calculated to be 9.294·10⁻⁶. -4 (m 2 ·℃) / W.

[0076] Furthermore, the average temperature of the cooling water is known to be 40℃, at which temperature the thermal conductivity of the cooling water is 0.633 W / (m·℃) and the kinematic viscosity is 0.659·10⁻⁶ m³ / s. 2 / s, Prandtl number is 4.34, cooling water velocity is 6.6 m / s, and equivalent diameter of cooling water pipe is 8.2 mm; substituting the above data into formula (5), the Reynolds number for forced convection of cooling water in the crystallizer can be calculated as 81582; ​​based on this, the above Reynolds number and Prandtl number can be substituted into formula (6) to calculate the Nusselt number as 351.6; thus, the above Reynolds number, thermal conductivity and Nusselt number can be substituted into formula (7) to calculate the convective heat transfer coefficient between the copper plate of the crystallizer and the cooling water of the crystallizer. 27228W / (m 2From this, the convective thermal resistance between the copper plate of the crystallizer and the cooling water of the crystallizer can be obtained as 1 / 27228 (m). 2 ·℃) / W.

[0077] Furthermore, given that the thickness of the steel billet shell is 20 mm and its thermal conductivity is 30 W / (m·℃), and the thickness of the crystallizer copper plate is 50 mm and its thermal conductivity is 380 W / (m·℃), combining this with the above formulas (8) and (9), the thermal resistance of the steel billet shell and the thermal resistance of the crystallizer copper plate can be calculated. Combining the total thermal resistance and convection thermal resistance calculated above, the thermal resistance of the protective slag film can be obtained as 9.44·10⁻⁶. -5 (m 2 ·℃) / W.

[0078] Based on the method for determining the thermal resistance of the protective slag film provided in the above embodiments, this application also provides a specific implementation of the device for determining the thermal resistance of the protective slag film.

[0079] Please refer to the following examples.

[0080] First see Figure 3 The device 300 for determining the thermal resistance of the protective slag film provided in this application embodiment includes the following modules: The cooling water parameter acquisition module 301 is used to acquire the flow rate of the cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water in the crystallizer during the continuous casting process, and to determine the effective heat transfer area of ​​the crystallizer. The crystallizer heat flux density determination module 302 is used to determine the crystallizer heat flux density based on the crystallizer cooling water flow rate, the inlet and outlet water temperatures of the crystallizer cooling water, and the effective heat transfer area of ​​the crystallizer. The cooling water average temperature determination module 303 is used to obtain the melting point of molten steel and the average temperature of the cooling water in the crystallizer during the continuous casting process. The total thermal resistance determination module 304 is used to determine the total thermal resistance between molten steel and cooling water in the continuous casting process based on the heat flux density of the crystallizer, the melting point of molten steel and the average temperature of the cooling water in the crystallizer. The first thermal resistance determination module 305 is used to determine the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process. The second thermal resistance determination module 306 is used to determine the thermal resistance of the protective slag film based on the total thermal resistance, the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convection thermal resistance.

[0081] As one implementation of this application, the cooling water parameter acquisition module 301 includes: The billet and crystallizer size parameter acquisition submodule is used to acquire the billet cross-sectional size parameter values ​​and crystallizer size parameter values ​​during the continuous casting process; wherein, the billet cross-sectional size parameter values ​​include at least one of the billet cross-sectional width value, billet cross-sectional area value and billet cross-sectional perimeter value, and the crystallizer size parameter values ​​include at least one of the crystallizer length value, crystallizer cross-sectional area value and crystallizer cross-sectional perimeter value. The effective heat transfer area determination submodule is used to determine the effective heat transfer area of ​​the crystallizer based on the cross-sectional dimension parameters of the cast billet and the dimension parameters of the crystallizer.

[0082] As one implementation of this application, the crystallizer heat flux density determination module 302 includes: The crystallizer heat flux density determination submodule is used to determine the crystallizer heat flux density based on the crystallizer cooling water flow rate, the inlet and outlet temperatures of the crystallizer cooling water, the crystallizer cooling water density, the specific heat capacity of the crystallizer cooling water, and the effective heat transfer area of ​​the crystallizer.

[0083] As one implementation of this application, the first thermal resistance determination module 305 includes: The crystallizer cooling water and pipeline parameter acquisition submodule is used to obtain the thermal conductivity, flow rate, kinematic viscosity and Prandtl number of the crystallizer cooling water, and to obtain the equivalent diameter of the crystallizer cooling water pipeline. The Reynolds number determination submodule is used to determine the Reynolds number of the crystallizer cooling water under forced convection based on the equivalent diameter of the crystallizer cooling water pipe, the flow rate of the crystallizer cooling water, and the kinematic viscosity. The Nusselt number determination submodule is used to determine the Nusselt number for forced convection of cooling water in the crystallizer based on the Reynolds number and Prandtl number. The convective thermal resistance determination submodule is used to determine the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process, based on the Nusselt number, equivalent diameter, and thermal conductivity.

[0084] As one implementation of this application, the first thermal resistance determination module 305 includes: The billet shell parameter acquisition submodule is used to obtain the thickness of the billet shell and the thermal conductivity of the billet shell during the continuous casting process. The billet shell thermal resistance determination submodule is used to determine the thermal resistance of the molten steel billet shell based on the billet shell thickness and the billet shell thermal conductivity.

[0085] As one implementation of this application, the first thermal resistance determination module 305 includes: The crystallizer copper plate parameter acquisition submodule is used to obtain the thickness and thermal conductivity of the crystallizer copper plate. The crystallizer copper plate thermal resistance determination submodule is used to determine the thermal resistance of the crystallizer copper plate based on its thickness and thermal conductivity.

[0086] Each module in the device for determining the thermal resistance of the protective slag film provided in this application embodiment can implement each step in the above-mentioned method for determining the thermal resistance of the protective slag film and achieve the corresponding effect. For the sake of brevity, it will not be described in detail here.

[0087] Figure 4 A schematic diagram of the structure of an electronic device provided in an embodiment of this application is shown.

[0088] The electronic device may include a processor 401 and a memory 402 storing computer program instructions.

[0089] Specifically, the processor 401 may include a central processing unit (CPU), an application-specific integrated circuit (ASIC), or one or more integrated circuits that can be configured to implement the embodiments of this application.

[0090] Memory 402 may include mass storage for data or instructions. For example, and not limitingly, memory 402 may include a hard disk drive (HDD), floppy disk drive, flash memory, optical disk, magneto-optical disk, magnetic tape, or Universal Serial Bus (USB) drive, or a combination of two or more of these. Where appropriate, memory 402 may include removable or non-removable (or fixed) media. Where appropriate, memory 402 may be internal or external to the integrated gateway disaster recovery device. In a particular embodiment, memory 402 is non-volatile solid-state memory.

[0091] The memory may include read-only memory (ROM), random access memory (RAM), disk storage media devices, optical storage media devices, flash memory devices, and electrical, optical, or other physical / tangible memory storage devices. Therefore, typically, a memory includes one or more tangible (non-transitory) computer-readable storage media, such as memory devices, encoded with software including computer-executable instructions, and when the software is executed by one or more processors, it is operable to perform the operations described with reference to the method for determining the thermal resistance of a protective slag film according to any embodiment of this disclosure.

[0092] The processor 401 reads and executes computer program instructions stored in the memory 402 to implement any of the methods for determining the thermal resistance of the protective slag film in the above embodiments.

[0093] In one example, the electronic device may also include a communication interface 403 and a bus 410. For example, Figure 4As shown, the processor 401, memory 402, and communication interface 403 are connected through bus 410 and complete communication with each other.

[0094] The communication interface 403 is mainly used to realize communication between various modules, devices, units and / or equipment in the embodiments of this application.

[0095] Bus 410 includes hardware, software, or both, that couples components of an online data traffic metering device together. For example, and not limitingly, the bus may include an Accelerated Graphics Port (AGP) or other graphics bus, an Enhanced Industry Standard Architecture (EISA) bus, a Front Side Bus (FSB), HyperTransport (HT) interconnect, an Industry Standard Architecture (ISA) bus, an Infinite Bandwidth Interconnect, a Low Pin Count (LPC) bus, a memory bus, a Microchannel Architecture (MCA) bus, a Peripheral Component Interconnect (PCI) bus, a PCI-Express (PCI-X) bus, a Serial Advanced Technology Attachment (SATA) bus, a Video Electronics Standards Association Local (VLB) bus, or other suitable buses, or combinations of two or more of these. Where appropriate, bus 410 may include one or more buses. Although specific buses are described and illustrated in embodiments of this application, any suitable bus or interconnect is contemplated herein.

[0096] Furthermore, in conjunction with the method for determining the thermal resistance of the protective slag film in the above embodiments, this application embodiment can provide a computer storage medium for implementation. This computer storage medium stores computer program instructions; when these computer program instructions are executed by a processor, they implement any of the methods for determining the thermal resistance of the protective slag film in the above embodiments.

[0097] This application also provides a computer program product, including a computer program, which, when executed, implements any of the methods for determining the thermal resistance of the protective slag film in the above embodiments.

[0098] It should be clarified that this application is not limited to the specific configurations and processes described above and shown in the figures. For the sake of brevity, detailed descriptions of known methods are omitted here. In the above embodiments, several specific steps are described and shown as examples. However, the method process of this application is not limited to the specific steps described and shown. Those skilled in the art can make various changes, modifications, and additions, or change the order of steps, after understanding the spirit of this application.

[0099] The functional blocks shown in the above-described structural diagram can be implemented as hardware, software, firmware, or a combination thereof. When implemented in hardware, they can be, for example, electronic circuits, application-specific integrated circuits (ASICs), appropriate firmware, plug-ins, function cards, etc. When implemented in software, the elements of this application are programs or code segments used to perform the required tasks. Programs or code segments can be stored on a machine-readable medium or transmitted over a transmission medium or communication link via data signals carried on a carrier wave. "Machine-readable medium" can include any medium capable of storing or transmitting information. Examples of machine-readable media include electronic circuits, semiconductor memory devices, ROM, flash memory, erasable ROM (EROM), floppy disks, CD-ROMs, optical disks, hard disks, fiber optic media, radio frequency (RF) links, etc. Code segments can be downloaded via computer networks such as the Internet, intranets, etc.

[0100] It should also be noted that the exemplary embodiments mentioned in this application describe methods or systems based on a series of steps or apparatus. However, this application is not limited to the order of the above steps; that is, the steps can be performed in the order mentioned in the embodiments, or in a different order, or several steps can be performed simultaneously.

[0101] The aspects of this disclosure have been described above with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this disclosure. It should be understood that each block in the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable data processing apparatus to produce a machine such that these instructions, executable via the processor of the computer or other programmable data processing apparatus, enable the implementation of the functions / actions specified in one or more blocks of the flowchart illustrations and / or block diagrams. Such a processor can be, but is not limited to, a general-purpose processor, a special-purpose processor, a special application processor, or a field-programmable logic circuit. It is also understood that each block in the block diagrams and / or flowcharts, and combinations of blocks in the block diagrams and / or flowcharts, can also be implemented by special-purpose hardware performing the specified functions or actions, or can be implemented by a combination of special-purpose hardware and computer instructions.

[0102] The above description is merely a specific implementation of this application. Those skilled in the art will clearly understand that, for the sake of convenience and brevity, the specific working processes of the systems, modules, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here. It should be understood that the protection scope of this application is not limited thereto. Any person skilled in the art can easily conceive of various equivalent modifications or substitutions within the technical scope disclosed in this application, and these modifications or substitutions should all be covered within the protection scope of this application.

Claims

1. A method for determining the thermal resistance of a protective slag film, characterized in that, The method includes: During continuous casting, the flow rate of cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water in the crystallizer are obtained, and the effective heat transfer area of ​​the crystallizer is determined. The heat flux density of the crystallizer is determined based on the flow rate of the cooling water in the crystallizer, the inlet and outlet temperatures of the cooling water in the crystallizer, and the effective heat transfer area of ​​the crystallizer. The melting point of molten steel and the average temperature of the cooling water in the crystallizer are obtained during the continuous casting process. The total thermal resistance between the molten steel and the cooling water in the continuous casting process is determined based on the heat flux density of the crystallizer, the melting point of the molten steel, and the average temperature of the cooling water in the crystallizer. Determine the thermal resistance of the steel billet shell, the thermal resistance of the copper plate in the crystallizer, and the convective thermal resistance between the copper plate in the crystallizer and the cooling water in the crystallizer during the continuous casting process. The thermal resistance of the protective slag film is determined based on the total thermal resistance, the thermal resistance of the steel billet shell, the thermal resistance of the copper plate in the crystallizer, and the convection thermal resistance.

2. The method for determining the thermal resistance of the protective slag film according to claim 1, characterized in that, The process of obtaining the flow rate of the cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water in the crystallizer during continuous casting, and determining the effective heat transfer area of ​​the crystallizer, includes: The cross-sectional dimension parameters of the billet and the dimension parameters of the crystallizer are obtained during the continuous casting process; wherein, the cross-sectional dimension parameters of the billet include at least one of the cross-sectional width, cross-sectional area, and cross-sectional perimeter of the billet, and the dimension parameters of the crystallizer include at least one of the cross-sectional length, cross-sectional area, and cross-sectional perimeter of the crystallizer. The effective heat transfer area of ​​the crystallizer is determined based on the cross-sectional dimension parameters of the cast billet and the dimension parameters of the crystallizer.

3. The method for determining the thermal resistance of the protective slag film according to claim 1, characterized in that, The determination of the crystallizer heat flux density based on the crystallizer cooling water flow rate, the inlet and outlet temperatures of the crystallizer cooling water, and the effective heat transfer area of ​​the crystallizer includes: The heat flux density of the crystallizer is determined based on the flow rate of the cooling water in the crystallizer, the inlet and outlet temperatures of the cooling water in the crystallizer, the density of the cooling water in the crystallizer, the specific heat capacity of the cooling water in the crystallizer, and the effective heat transfer area of ​​the crystallizer.

4. The method for determining the thermal resistance of the protective slag film according to claim 1, characterized in that, The determination of the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process includes: The thermal conductivity, flow rate, kinematic viscosity, and Prandtl number of the cooling water for the crystallizer are obtained, and the equivalent diameter of the cooling water pipe for the crystallizer is also obtained. The Reynolds number for forced convection of the crystallizer cooling water is determined based on the equivalent diameter of the crystallizer cooling water pipe, the flow rate of the crystallizer cooling water, and the kinematic viscosity. The Nusselt number for forced convection of cooling water in the crystallizer is determined based on the Reynolds number and Prandtl number. The convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process is determined based on the Nusselt number, the equivalent diameter, and the thermal conductivity.

5. The method for determining the thermal resistance of the protective slag film according to claim 1, characterized in that, The determination of the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process includes: The thickness of the steel billet shell and the thermal conductivity of the billet shell are obtained during the continuous casting process; The thermal resistance of the molten steel billet shell is determined based on the billet shell thickness and the billet shell thermal conductivity.

6. The method for determining the thermal resistance of the protective slag film according to claim 1, characterized in that, The determination of the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process includes: Obtain the thickness and thermal conductivity of the copper plate in the crystallizer. The thermal resistance of the copper plate in the crystallizer is determined based on the thickness of the copper plate and the thermal conductivity of the copper plate.

7. A device for determining the thermal resistance of a protective slag film, characterized in that, The device includes: The cooling water parameter acquisition module is used to acquire the flow rate of the cooling water in the crystallizer and the inlet and outlet temperatures of the cooling water in the crystallizer during the continuous casting process, and to determine the effective heat transfer area of ​​the crystallizer. The crystallizer heat flux density determination module is used to determine the crystallizer heat flux density based on the crystallizer cooling water flow rate, the inlet and outlet water temperatures of the crystallizer cooling water, and the effective heat transfer area of ​​the crystallizer. The cooling water average temperature determination module is used to obtain the melting point of molten steel and the average temperature of the cooling water in the crystallizer during the continuous casting process. The total thermal resistance determination module is used to determine the total thermal resistance between the molten steel and the cooling water in the continuous casting process based on the heat flux density of the crystallizer, the melting point of the molten steel, and the average temperature of the cooling water in the crystallizer. The first thermal resistance determination module is used to determine the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convective thermal resistance between the crystallizer copper plate and the crystallizer cooling water during the continuous casting process. The second thermal resistance determination module is used to determine the thermal resistance of the protective slag film based on the total thermal resistance, the thermal resistance of the steel billet shell, the thermal resistance of the crystallizer copper plate, and the convection thermal resistance.

8. An electronic device, characterized in that, The electronic device includes: a processor and a memory storing computer program instructions; the processor reads and executes the computer program instructions to implement the method for determining the thermal resistance of the protective slag film as described in any one of claims 1-6.

9. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores computer program instructions, which, when executed by a processor, implement the method for determining the thermal resistance of the protective slag film as described in any one of claims 1-6.

10. A computer program product, characterized in that, When the instructions in the computer program product are executed by the processor of the electronic device, the electronic device performs the functions as described in the claims.

6. The method for determining the thermal resistance of the protective slag film as described in any one of the above.

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