Continuous casting heat transfer difference analysis method and system based on diffusion convection coupling

Abstract

The invention relates to the technical field of copper rod continuous casting, in particular to a continuous casting heat transfer difference analysis method and system based on diffusion and convection coupling, and the method comprises the steps that a multi-physics field coupling model is built, and the multi-physics field coupling model builds a heat transfer process according to the coupling interaction of diffusion and convection effects; setting a boundary condition corresponding to the multi-physics field coupling model; discretization and numerical solution are carried out on the multi-physical field coupling model, and field distribution of each physical field based on the coupling interaction is obtained; and according to the field distribution, interaction of the diffusion effect and the convection effect on the continuous space-time position is analyzed, and a continuous casting heat transfer difference analysis result is obtained. According to the method, the problem of analysis of heat transfer difference in the continuous casting process is effectively solved, and particularly the problems of temperature nonuniformity and heat transfer difference caused by diffusion and convection effect coupling are solved.

Description

Technical Field

[0001] The present invention relates to the technical field of copper rod continuous casting, and particularly to an analysis method and system for continuous casting heat transfer differences based on diffusion-convection coupling. Background Art

[0002] The continuous casting process is a key step in the metal smelting process of solidifying liquid metal into solid metal, and its quality directly affects the performance of the final product. During the process of liquid metal transforming from liquid state to solid state, due to the mutual influence of the temperature field and the flow velocity field, the heat transfer process is usually controlled by both diffusion effect and convection effect, and these two effects present complex coupling interactions in different continuous casting regions.

[0003] Traditional heat conduction analysis methods usually separately process the heat transfer process into two parts: heat diffusion and convection. However, when dealing with the complex heat transfer process of liquid metal, especially in the continuous casting process, under the action of different cooling rates, flow velocities and temperature distributions of liquid metal, its heat transfer process shows great non-uniformity. Existing calculation methods often cannot accurately capture this non-uniformity, resulting in too large temperature gradients or uneven heat transfer, thus causing problems such as surface defects or internal cracks in the billet.

[0004] The information disclosed in this background art section is only intended to deepen the understanding of the overall background art of the present disclosure, and should not be regarded as an admission or any form of implication that this information constitutes the prior art known to those skilled in the art. Summary of the Invention

[0005] The present invention provides an analysis method and system for continuous casting heat transfer differences based on diffusion-convection coupling, which can effectively solve the problems in the background art.

[0006] In order to achieve the above object, the technical solution adopted by the present invention is: An analysis method for continuous casting heat transfer differences based on diffusion-convection coupling, the method comprising: Constructing a multi-physical-field coupling model, the multi-physical-field coupling model establishing a heat transfer process according to the coupling interaction of diffusion and convection effects; Setting boundary conditions corresponding to the multi-physical-field coupling model; Discretizing and numerically solving the multi-physical-field coupling model to obtain the field distributions of each physical field based on the coupling interaction; Analyzing the interaction between the diffusion and convection effects at continuous space-time positions according to the field distributions to obtain the analysis results of continuous casting heat transfer differences.

[0007] Further, discretizing and numerically solving the multi-physical-field coupling model includes: The temperature field and flow velocity field in each continuous casting area are spatially discretized through grid division, and the continuous physical field is transformed into a finite number of discrete grid nodes; Numerically solve the coupling effect of heat transfer in the temperature field and fluid flow in the flow velocity field at each of the discrete grid nodes; During the numerical solution process, optimize the distribution of the temperature field and flow velocity field at each of the discrete grid nodes through an iterative solution method; Based on the iterative solution results, analyze the changes in the temperature field and flow velocity field in each continuous casting area, and quantify the interaction of the diffusion and convection effects in continuous time and space positions.

[0008] Further, quantifying the interaction of the diffusion and convection effects in continuous time and space positions includes: Obtain the change rates of the temperature field and flow velocity field at each of the discrete grid nodes; Based on the iterative solution results, simulate and obtain the coupling strength of the diffusion and convection effects through the change rates of the temperature field and flow velocity field; Identify potential temperature anomaly regions according to the change of the coupling strength, and determine the coupling influence range of the diffusion and convection effects according to the temperature anomaly regions; Based on the coupling influence range, determine the interaction of the diffusion and convection effects in continuous time and space positions.

[0009] Further, obtaining the temperature field distribution includes: Obtain the continuous casting heat source term according to the temperature gradient and external heat source power; Set the heat loss term based on the heat exchange mechanism and metal physical properties; Take the continuous casting heat source term and the heat loss term as input parameters, and establish a hydrodynamic model based on the heat exchange mechanism; Based on the influence of the continuous casting heat source term and the heat loss term on the temperature distribution, simulate the heat transfer process according to the hydrodynamic model to obtain the temperature field distribution.

[0010] Further, simulating the heat transfer process includes: Based on the hydrodynamic model, solve the diffusion equation and convection equation to obtain a coupling equation, where the diffusion equation describes the conduction and diffusion process of heat, and the convection equation describes the convective heat transfer process; Discretize the coupling equation using numerical methods; Introduce the heat source term and heat loss term as calculation coefficients into the coupling equation, and discretely and iteratively solve the gradient value of the temperature gradient; Based on the magnitude of the gradient value, simulate the heat transfer process according to the hydrodynamic model.

[0011] Further, analyze the effects of diffusion and convection on thermal non-uniformity and heat transfer behavior, including: Obtain the temperature gradient and heat flux density of each continuous casting area; Obtain the action intensity value of the diffusion and convection effects on the temperature gradient in each continuous casting area; Simulate the heat flux density path based on the heat flux density of each continuous casting area, and obtain potential heat transfer differences according to the outliers in the heat flux density path; Analyze the thermal non-uniformity and heat transfer differences during the continuous casting process according to the action intensity value and the potential heat transfer differences.

[0012] Further, obtaining potential heat transfer differences includes: Collect the instantaneous heat flux density and instantaneous temperature gradient of each continuous casting area at time nodes; Obtain the dynamic change range of the diffusion and convection effects on heat transfer differences in different continuous casting areas based on the differences between the instantaneous heat flux densities and instantaneous temperature gradients; Quantify the time dependence of the diffusion and convection effects on the heat transfer differences in each continuous casting area based on the time nodes; Obtain the potential heat transfer differences by comparing historical heat information according to the dynamic change range and the time dependence of each continuous casting area.

[0013] Further, set the boundary conditions corresponding to the multi-physical field coupling model, including: Set the temperature boundary conditions according to the actual operating conditions of the process, and the temperature boundary conditions include the initial temperature, surface temperature, and temperature distribution in the phase change region; Set the fluid dynamic characteristic boundary conditions according to the fluid flow characteristics, and the fluid dynamic characteristic boundary conditions include fluid velocity, turbulence model, and thermal physical properties of the fluid.

[0014] A continuous casting heat transfer difference analysis system based on diffusion-convection coupling, the system includes: A model construction module that constructs a multi-physical field coupling model, and the multi-physical field coupling model establishes a heat transfer process based on the coupled interaction of diffusion and convection effects; A boundary definition module that sets the boundary conditions corresponding to the multi-physical field coupling model; A discrete mathematics module that discretizes and numerically solves the multi-physical field coupling model to obtain the field distribution of each physical field based on the coupled interaction; A difference analysis module that analyzes the interaction between diffusion and convection effects at continuous space-time positions according to the field distribution, and obtains the analysis results of continuous casting heat transfer differences.

[0015] Furthermore, the discrete mathematics module includes: A spatial discretization unit that spatially discretizes the temperature field and flow velocity field of each continuous casting region through grid division, converting the continuous physical field into a finite number of discrete grid nodes; A numerical solution unit that numerically solves the coupling effect of heat transfer in the temperature field and fluid flow in the flow velocity field at each discrete grid node; An iterative optimization unit that optimizes the distribution of the temperature field and flow velocity field at each discrete grid node through an iterative solution method during the numerical solution process; An effect quantification unit that analyzes the changes in the temperature field and flow velocity field of each continuous casting region based on the iterative solution results, and quantifies the interaction of diffusion and convection effects at continuous time and spatial positions.

[0016] Through the technical solution of the present invention, the following technical effects can be achieved: By simulating the changes in the temperature field and flow velocity field during the continuous casting process, the problem of heat transfer differences caused by the inability of traditional methods to comprehensively consider the coupling of diffusion and convection effects is solved. Through numerical solution and field distribution analysis, the heat transfer differences at different times and spatial positions are quantified, production defects caused by temperature non-uniformity are reduced, and the stability of the continuous casting process is improved.

[0017] The above description is only an overview of the technical solution of this application. In order to be able to understand the technical means of this application more clearly, it can be implemented according to the content of the specification. And in order to make the above and other purposes, features and advantages of this application more obvious and understandable, the following specifically exemplifies the specific implementation manners of this application. Description of the Drawings

[0018] In order to more clearly illustrate the technical solutions in the embodiments of the present invention or in the prior art, the following will briefly introduce the drawings required for use in the description of the embodiments or the prior art. Obviously, the drawings in the following description are only some embodiments recorded in the present invention. For those of ordinary skill in the art, without creative efforts, other drawings can also be obtained based on these drawings.

[0019] Figure 1 It is a flowchart of the continuous casting heat transfer difference analysis method based on diffusion-convection coupling; Figure 2 It is a schematic flow diagram of discretization and numerical solution of the multi-physical field coupling model; Figure 3 It is a schematic structural diagram for obtaining the temperature field distribution; Figure 4 It is a schematic flow diagram for analyzing the influence of diffusion and convection effects on heat non-uniformity and heat transfer behavior. Detailed Description of the Invention

[0020] Next, the technical solutions in the embodiments of the present invention will be clearly and completely described in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments.

[0021] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by those skilled in the technical field to which the present invention belongs. The terms used in the specification of the present invention are only for the purpose of describing specific embodiments, and are not intended to limit the present invention. The term "and / or" used herein includes any and all combinations of one or more of the related listed items.

[0022] Embodiment 1; As Figure 1 shown, the present application provides an analysis method for continuous casting heat transfer differences based on diffusion-convection coupling. The method includes: S10: Construct a multi-physical field coupling model, and the multi-physical field coupling model establishes a heat transfer process according to the coupled interaction of diffusion and convection effects; S20: Set the boundary conditions corresponding to the multi-physical field coupling model; S30: Discretize and numerically solve the multi-physical field coupling model to obtain the field distribution of each physical field based on the coupled interaction; S40: Analyze the interaction between diffusion and convection effects at continuous space-time positions according to the field distribution to obtain the analysis results of continuous casting heat transfer differences.

[0023] Specifically, a multi-physics coupling model is established to describe the heat transfer process during continuous casting by considering the coupled interaction of diffusion and convection effects. The multi-physics coupling model should include the flow of molten metal (velocity field) and temperature change (temperature field), and it is necessary to describe the coupling effect between each physical field. To accurately simulate the heat transfer process, hydrodynamic equations and heat conduction equations can be used to describe these effects; after establishing the multi-physics coupling model, appropriate boundary conditions are set to ensure that the model can correctly reflect the actual continuous casting process. The boundary conditions include temperature boundary conditions (such as initial temperature, surface temperature, temperature distribution in the phase change region, etc.) and fluid dynamic characteristic boundary conditions (such as fluid velocity, turbulence model, and thermal physical properties of the fluid, etc.); the constructed multi-physics coupling model is discretized in space and time, converting the continuous physical field into a finite number of discrete grid nodes. The temperature field and velocity field in the continuous casting region are spatially discretized through mesh generation, and numerical methods are used to solve the coupling effect of heat transfer and fluid flow at each grid node; based on the field distribution obtained from the numerical solution, the interaction between diffusion and convection effects at continuous space-time positions is further analyzed. Specifically, by analyzing the changes in the temperature field and velocity field, the interaction intensity between diffusion and convection effects at different time and space positions can be quantified, thereby identifying the differences and potential problems in the heat transfer process; through the analysis of the coupling effect, the analysis results of the heat transfer differences during continuous casting are obtained. According to the analysis results of the heat transfer differences during continuous casting, the cooling strategy during continuous casting is optimized, the process parameters are improved, the heat transfer efficiency is increased, and the defects in production are reduced.

[0024] Through the technical solution of the present invention, by simulating the changes in the temperature field and velocity field during continuous casting, the problem of heat transfer differences caused by the inability of traditional methods to comprehensively consider the coupling of diffusion and convection effects is solved. Through numerical solution and field distribution analysis, the heat transfer differences at different times and space positions are quantified, the production defects caused by temperature non-uniformity are reduced, and the stability of the continuous casting process is improved.

[0025] Furthermore, as Figure 2 shown, the discretization and numerical solution of the multi-physics coupling model include: The temperature field and velocity field in each continuous casting region are spatially discretized through mesh generation, converting the continuous physical field into a finite number of discrete grid nodes; The coupling effect of heat transfer in the temperature field and fluid flow in the velocity field at each discrete grid node is numerically solved; During the numerical solution process, the distributions of the temperature field and velocity field are optimized at each discrete grid node through an iterative solution method; Based on the iterative solution results, analyze the changes in the temperature field and flow velocity field in each continuous casting region, and quantify the interaction between diffusion and convection effects over continuous time and spatial positions.

[0026] As an optimization of the above embodiment, after constructing the multi-physical field coupling model, spatially discretize the temperature field and flow velocity field in the continuous casting region through grid division. Divide the continuous casting region into multiple small computational units (grid cells), and convert the continuous physical fields (such as the temperature field and flow velocity field) into a finite number of discrete grid nodes. When performing grid division, the geometric shape of the continuous casting process, fluid flow characteristics, and changes in temperature distribution should be considered to ensure that the discretized model can accurately reflect the actual situation. At each discrete grid node, use numerical solution methods to calculate the coupling effect of heat transfer in the temperature field and fluid flow in the flow velocity field. By solving the heat conduction equation and fluid dynamics equation, combined with the coupling of diffusion and convection effects, obtain the temperature change and flow velocity change at each grid node. Numerical methods such as the finite difference method, finite element method, or finite volume method can be used to discretize and solve these equations. During the numerical solution process, continuously optimize the distribution of the temperature field and flow velocity field at each discrete grid node through iterative solution methods. Common solution methods such as the Jacobi iteration method, conjugate gradient method, or Gauss-Seidel iteration method can be used in the iterative process to gradually converge the distribution of temperature and flow velocity. Each iteration will adjust the distribution of the temperature and flow velocity field according to the results of the previous step until the system converges to a result that meets the accuracy requirements. Based on the iterative solution results, analyze the changes in the temperature field and flow velocity field in each continuous casting region. The change trends of temperature and flow velocity in each region can be displayed through visualization means (such as temperature distribution maps, flow velocity distribution maps, etc.), and then analyze the interaction between diffusion effects and convection effects at different regions and different time nodes. By quantifying these changes, the coupling strength of diffusion and convection effects at each spatial and temporal position can be clearly identified. According to the changes in the temperature field and flow velocity field, further quantify the interaction between diffusion and convection effects over continuous time and spatial positions by calculating the change rates of the temperature field and flow velocity field (such as temperature gradients, flow velocity gradients, etc.), and then identify the strength and influence range of the coupling effect. For example, the coupling effect during the heat transfer process can be analyzed by calculating the rate of temperature change and the rate of flow velocity change at each grid node. Based on the iterative results and the analysis of the coupling effect, optimize the heat transfer and flow behavior during continuous casting. Quantifying the interaction between diffusion and convection effects at each spatial and temporal position can help analyze and identify potential temperature anomaly regions or heat transfer differences.

[0027] Furthermore, quantifying the interaction between diffusion and convection effects over continuous time and spatial positions includes: Obtain the change rates of the temperature field and flow velocity field at each discrete grid node; Based on the iterative solution results, the coupling strength of diffusion and convection effects is simulated through the change rates of the temperature field and the flow velocity field; Potential temperature anomaly regions are identified according to the change of the coupling strength, and the coupling influence range of diffusion and convection effects is determined based on the temperature anomaly regions; Based on the coupling influence range, the interaction of diffusion and convection effects at continuous time and spatial positions is determined.

[0028] As a preference of the above embodiments, during the numerical solution process, by calculating the change rates of the temperature field and the flow velocity field at discrete grid nodes, the temperature change rate and the flow velocity change rate of each node are obtained. Based on the calculation results of each round in the iterative solution process, the temperature and flow velocity differences between adjacent grid nodes are calculated, and the change rates of the temperature field and the flow velocity field are calculated according to these differences. The calculation can be performed by the finite difference method or similar numerical methods; based on the change rates of the temperature field and the flow velocity field, the coupling strength of the diffusion and convection effects is further simulated. First, the correlation between the change rates of the temperature field and the flow velocity field is calculated, such as the product of the change rate of the temperature field and the change rate of the flow velocity field or other relevant functions. According to the change rates, combined with the basic principles of fluid mechanics and heat conduction, the coupling strength is simulated. The coupling strength can be quantified as a numerical value representing the interaction strength between the diffusion effect and the convection effect. Different physical constants (such as the heat conduction coefficient, fluid viscosity, etc.) can also be introduced to adjust the calculation of the coupling strength; according to the calculated change of the coupling strength, the regions where temperature anomalies may exist are identified. The coupling strength is analyzed spatially and temporally, and its change trends in different regions and at different times are observed. By setting thresholds, the regions where the coupling strength increases abnormally are identified. These regions where the coupling strength increases abnormally may be due to the unbalanced interaction between the diffusion and convection effects or local flow anomalies, resulting in temperature anomalies. These abnormal regions often imply potential problems in the heat transfer process, such as local overheating or overcooling, which may lead to production defects; by analyzing the potential temperature anomaly regions, the coupling influence range of the diffusion and convection effects is further determined. Based on the spatial distribution of the temperature anomaly regions, the relationship between the temperature anomaly regions and the flow velocity field is determined, and the coupling influence range of the diffusion and convection effects in the temperature anomaly regions is evaluated. For each identified abnormal region, the coupling strength in the abnormal region is analyzed, and the influence range of the diffusion and convection effects in the abnormal region is speculated, as well as how these effects evolve over time. The spatial distribution of the coupling effect influence regions can be plotted by a visualization tool to further analyze the heat transfer performance of these regions; based on the coupling influence range of the diffusion and convection effects, the interaction at continuous time and spatial positions is determined. According to the identified coupling influence range, the action modes of the diffusion and convection effects in these regions are analyzed, and how they interact with each other and affect the cooling process of the molten metal is determined. Through the spatio-temporal analysis of the coupling effect, the change trends of the coupling effect at different time nodes and spatial positions are predicted. By comparing historical data, the long-term influence of the diffusion and convection effects on the heat transfer difference is quantified, and the cooling strategy and process parameters are further optimized to improve the heat transfer control in the continuous casting process.

[0029] Furthermore, as Figure 3 shown, obtaining the temperature field distribution includes: Obtaining the continuous casting heat source term according to the temperature gradient and the external heat source power; Set the heat loss term based on the heat exchange mechanism and the physical properties of the metal; Take the continuous casting heat source term and the heat loss term as input parameters, and establish a hydrodynamic model based on the heat exchange mechanism; Based on the influence of the continuous casting heat source term and the heat loss term on the temperature distribution, simulate the heat transfer process according to the hydrodynamic model to obtain the temperature field distribution.

[0030] As a preference of the above embodiment, calculate the continuous casting heat source term based on the temperature gradient of the molten metal during continuous casting and in combination with the external heat source power. By analyzing the temperature distribution in the continuous casting area, calculate the temperature gradient, that is, the rate of temperature change at each position; the external heat source power can be obtained through the process requirements or the power provided by external equipment (such as heaters, furnaces, etc.), and the heat source power of this area can also be calculated in combination with the external environmental influence (such as the cooling system). Combine the temperature gradient and the external heat source power to obtain the heat source term affecting the molten metal. The heat source term reflects the heat input or output during the heating or cooling process; considering the heat exchange mechanism and the physical properties of the metal, set the heat loss term. Determine the heat loss term according to the heat exchange mechanism between the molten metal and the external environment (such as cooling water, mold, etc.). The heat exchange mechanism can include ways such as radiation, convection, and heat conduction. Further set the heat loss term according to the physical properties of the metal such as thermal conductivity, specific heat capacity, and density. The setting of the heat loss term takes into account the energy exchange between the metal and the surrounding environment during the flow process, such as the heat dissipation during the cooling process; according to the hydrodynamic equation, combine the temperature gradient, the heat source term, and the heat loss term to establish a heat transfer model for the continuous casting area. The heat transfer model includes: the heat conduction equation (describing the change of the temperature field) and the heat convection equation (describing the heat exchange in fluid flow). Introduce the heat source term and the heat loss term into the equation as boundary conditions or calculation coefficients; based on the established hydrodynamic model, simulate the heat transfer process and calculate the temperature field distribution. Use a suitable numerical method (such as the finite element method, the finite difference method, or the finite volume method) to discretize and solve the hydrodynamic model. Through the iterative solution process, obtain the temperature field distribution of each area. The simulation results will show the temperature distribution in the continuous casting area. The temperature field distribution can show the temperature change during the flow of the molten metal and the heat transfer situation between different areas. Especially in different areas such as the phase change area, the cooling area, and the heating area, there will be significant differences in the temperature distribution.

[0031] Furthermore, simulating the heat transfer process includes: Based on the hydrodynamic model, solve the diffusion equation and the convection equation to obtain the coupled equation. The diffusion equation describes the conduction and diffusion process of heat, and the convection equation describes the convective heat transfer process; Use a numerical method to discretize the coupled equation; Introduce a heat source term and a heat loss term into the coupling equation as calculation coefficients, and discretely iterate to solve the gradient value of the temperature gradient. Based on the magnitude of the gradient value, simulate the heat transfer process according to the hydrodynamic model.

[0032] As an optimization of the above embodiment, based on the hydrodynamic model, it is necessary to solve the diffusion equation and the convection equation to obtain the coupling equation. The diffusion equation describes the conduction and diffusion process of heat, characterizing the transfer and diffusion of heat in the molten metal. Usually, Fourier's law of heat conduction is used to describe the relationship between the temperature gradient and the heat flux. The convection equation describes the convective heat transfer process, reflecting the interaction between the fluid flow and the temperature. The Navier-Stokes equation is used to describe the motion of the fluid, and the convective heat transfer term is combined to calculate the heat transfer during the flow process. By solving the diffusion equation and the convection equation, the coupling equation can be obtained, which comprehensively reflects the overall heat transfer mechanism in the continuous casting process by considering the effects of heat conduction and convection. After obtaining the coupling equation, the equation is discretized using numerical methods. Through discretization, the continuous coupling equation is transformed into an algebraic equation that can be solved. In the discretized coupling equation, a heat source term and a heat loss term are introduced as calculation coefficients. The heat source term considers the influence of external heat sources (such as heating equipment, external heat sources, etc.) in the molten metal on the temperature field, and the heat loss term considers the heat loss caused by cooling or the external environment, which affects the temperature distribution of the molten metal. By introducing the heat source term and the heat loss term into the calculation coefficients of the coupling equation, the influence of external heat sources and heat loss on the heat transfer process can be accurately reflected in the calculation. The discretized coupling equation is iteratively solved to obtain the distribution of the temperature field. In each iteration, the temperature gradient (i.e., the rate of temperature change) of each node is calculated through the discretized equation. By numerically solving the iterative process, the temperature values of each discrete grid node are gradually updated until the temperature distribution converges to a stable value that meets the predetermined accuracy requirements. The calculation of the temperature gradient reflects the intensity of heat transfer between different regions and helps to analyze the non-uniformity in the heat transfer process. Based on the gradient value of the obtained temperature gradient, the heat transfer process is further simulated according to the hydrodynamic model. According to the calculated temperature gradient, the propagation process of heat in the molten metal is simulated. According to the flow characteristics of the fluid and the changes in the temperature field, how heat is transferred between different regions through convection and diffusion is simulated. Through numerical calculations and visualization tools, the temperature distribution during the heat transfer process is displayed.

[0033] Furthermore, as Figure 4 shown, analyze the effects of diffusion and convection effects on thermal non-uniformity and heat transfer behavior, including: Obtain the temperature gradient and heat flux density in each continuous casting region. Obtain the action intensity value of the diffusion and convection effects on the temperature gradient in each continuous casting region. Simulate the heat flux density path based on the heat flux density of each continuous casting area, and obtain the potential heat transfer difference according to the outliers in the heat flux density path; Analyze the thermal non-uniformity and heat transfer difference in the continuous casting process according to the action intensity value and the potential heat transfer difference.

[0034] As a preference of the above embodiment, obtain the temperature gradient and heat flux density of each point in the continuous casting area through numerical simulation or experimental measurement; obtain the temperature gradient by calculating the change rate of the temperature field at different positions. The temperature gradient can be calculated by numerical methods (such as the finite difference method) for the change of the temperature field at each node and obtaining its spatial gradient; the heat flux density is calculated for each area according to the temperature gradient and physical properties (such as thermal conductivity) using Fourier's law. The heat flux density reflects the intensity and direction of heat transfer in the molten metal; based on the temperature gradient, further calculate the action intensity of the diffusion effect and the convection effect on the temperature gradient. The diffusion effect is usually proportional to the temperature gradient, so the intensity of the diffusion effect can be calculated through the temperature gradient value. The intensity of the diffusion effect reflects the degree of heat diffusion in the molten metal due to temperature differences; the convection effect depends on the flow velocity field. Combining the flow velocity and the temperature gradient, the influence of the convection effect on the temperature gradient can be calculated. The convective transfer of heat is closely related to the interaction between the fluid velocity and the temperature field. Combine the diffusion effect and the convection effect to obtain the total action intensity value of the temperature gradient change in each area; after obtaining the heat flux density of each area, simulate the heat flux density path and identify potential heat transfer differences according to the heat flux density path. Through numerical calculation, simulate the flow path of the heat flux density in each continuous casting area and analyze the propagation direction and velocity of the heat flux; in the heat flux density path, identify the areas where outliers exist. These outliers usually indicate uneven heat flux during the heat transfer process, which may be caused by factors such as local uneven cooling or unstable flow; based on the action intensity values of the diffusion and convection effects and the potential heat transfer differences, analyze the thermal non-uniformity and heat transfer difference in the continuous casting process. According to the action intensity values of each continuous casting area, evaluate the influence of the diffusion and convection effects on the temperature non-uniformity. Areas with larger action intensity may lead to larger temperature differences, thus causing local thermal non-uniformity; combine the outliers in the heat flux density path to identify areas where heat transfer may be uneven. Through comprehensive analysis of the action intensity and potential heat transfer differences, identify the possible thermal non-uniformity and heat transfer differences in the continuous casting process.

[0035] Furthermore, obtaining the potential heat transfer difference includes: Collect the instantaneous heat flux density and instantaneous temperature gradient of each continuous casting area at time nodes; Obtain the dynamic change range of the diffusion and convection effects on the heat transfer difference in different continuous casting areas based on the differences between the instantaneous heat flux densities and instantaneous temperature gradients; Quantify the time-dependence of the heat transfer differences in each continuous casting region based on time nodes for diffusion and convection effects; According to the dynamic change ranges and time-dependencies of each continuous casting region, compare historical heat information to obtain potential heat transfer differences.

[0036] As an optimization of the above embodiment, during continuous casting, collect the instantaneous heat flux density and instantaneous temperature gradient within each continuous casting region at time nodes (such as each time step or fixed interval). By real-time monitoring the heat flux density of the continuous casting region, using the temperature field and flow velocity field data combined with Fourier's law or other heat transfer formulas, calculate the instantaneous heat flux density at each time node; according to the real-time measured temperature field, calculate the temperature gradient of each region. The temperature gradient reflects the spatial distribution and transfer direction of heat in the molten metal, and the instantaneous temperature gradient can be obtained through numerical difference or interpolation methods. By regularly recording these instantaneous data, establish the distribution of heat flux density and temperature gradient changing with time; use the collected instantaneous heat flux density and temperature gradient data to calculate the dynamic change ranges of the diffusion and convection effects on heat transfer differences in different continuous casting regions, compare the heat flux density and temperature gradient at different time nodes or different regions, analyze the differences between them, based on the relationship between heat flux density and temperature gradient, calculate the intensity of the diffusion and convection effects on heat transfer differences in each region. For example, a larger temperature gradient may represent a stronger diffusion effect, while a high flow velocity region may exhibit a stronger convection effect. According to the differences, obtain the dynamic change ranges of the diffusion and convection effects in different regions, revealing the non-uniformity in the heat transfer process; quantify the differences in heat flux density and temperature gradient at each time node, analyze the time-dependence of the diffusion and convection effects on heat transfer differences, by comparing the changes in heat flux density and temperature gradient at different time nodes, evaluate the law of the diffusion and convection effects on heat transfer differences changing with time. For example, if the temperature gradient in a certain region continuously increases with time, it may indicate that the heat transfer process in this region is gradually becoming non-uniform, or the action of the diffusion and convection effects is gradually strengthening. Quantify this information into a time-dependence curve, showing the change trend of heat transfer differences at different time nodes; combine historical heat information, compare the dynamic change ranges and time-dependencies in the current continuous casting process, identify potential heat transfer differences, compare the heat flux density and temperature gradient data in the current process with historical data to check if there are significant changes. For example, if the heat transfer differences in some regions become larger and larger, it may indicate potential heat transfer non-uniformity or process abnormalities. Based on the dynamic change ranges and time-dependencies, identify potential factors that may cause heat transfer differences, such as changes in the cooling system, instability of metal flow, etc. By comparing historical data, analyze the influence range of these potential differences and predict their possible impact on the quality of continuous casting.

[0037] Furthermore, set the boundary conditions corresponding to the multi-physics field coupling model, including: Set the temperature boundary conditions according to the actual operating conditions of the process. The temperature boundary conditions include the initial temperature, surface temperature, and temperature distribution in the phase change region. Set the fluid dynamic characteristic boundary conditions according to the fluid flow characteristics. The fluid dynamic characteristic boundary conditions include fluid velocity, turbulence model, and thermophysical parameters of the fluid.

[0038] As an optimization of the above embodiments, according to the actual operating conditions of the continuous casting process, set the temperature boundary conditions, including the initial temperature of the molten metal, the surface temperature in the region in contact with the mold, and the temperature distribution in the phase change zone. The initial temperature is usually determined by the furnace temperature or the melting temperature of the molten metal. The surface temperature takes into account the external cooling conditions, especially the influence of the cooling water flow rate and the temperature of the cooling medium. The temperature distribution in the phase change region is particularly important when the molten metal solidifies because the temperature changes drastically in this region and is accompanied by a large amount of latent heat release or absorption. It is necessary to set the corresponding temperature boundary conditions by analyzing the phase change characteristics of the metal. Secondly, according to the fluid flow characteristics, set the fluid dynamic characteristic boundary conditions, including the velocity field of the fluid, turbulence model, and thermophysical parameters. The velocity field of the fluid plays a key role in heat transfer and temperature field distribution and needs to be accurately set through a flow rate distribution model. For turbulent flow, an appropriate turbulence model is used to describe the flow characteristics. The thermophysical parameters of the fluid (such as specific heat capacity, thermal conductivity, density, and viscosity) also need to be accurately set because they directly affect heat transfer and fluid flow. Finally, after setting the temperature and fluid dynamic characteristic boundary conditions, comprehensively consider the coupling effect of the two to ensure the effective simulation of the temperature field and velocity field of the molten metal. These boundary conditions work together to ensure the accurate simulation of heat transfer, fluid flow, and temperature distribution.

[0039] Embodiment 2; Based on the same inventive concept as a method for analyzing the heat transfer difference in continuous casting based on the coupling of diffusion and convection in the foregoing embodiments, the present invention also provides a system for analyzing the heat transfer difference in continuous casting based on the coupling of diffusion and convection. The system includes: A model construction module that constructs a multi-physical field coupling model. The multi-physical field coupling model establishes the heat transfer process based on the coupled interaction of diffusion and convection effects. A boundary definition module that sets the boundary conditions corresponding to the multi-physical field coupling model. A discrete mathematics module that discretizes and numerically solves the multi-physical field coupling model to obtain the field distribution of each physical field based on the coupled interaction. A difference analysis module that analyzes the interaction between diffusion and convection effects at continuous space-time positions according to the field distribution to obtain the analysis result of the heat transfer difference in continuous casting.

[0040] The above adjustment system in the present invention can effectively implement a method for analyzing the heat transfer difference in continuous casting based on the coupling of diffusion and convection, and the technical effects can be as described in the above embodiments, which will not be elaborated here.

[0041] Furthermore, the discrete mathematics module includes: Spatial discrete units that discretize the temperature field and flow velocity field in each continuous casting area through grid division, converting the continuous physical field into a finite number of discrete grid nodes; Numerical solution units that numerically solve the coupling effect of heat transfer in the temperature field and fluid flow in the flow velocity field at each discrete grid node; Iterative optimization units that optimize the distribution of the temperature field and flow velocity field at each discrete grid node through iterative solution methods during the numerical solution process; Effect quantification units that analyze the changes in the temperature field and flow velocity field in each continuous casting area according to the iterative solution results, and quantify the interaction between diffusion and convection effects at continuous time and spatial positions.

[0042] Similarly, for the above optimization solutions of the system, the corresponding optimization effects of the method in the first embodiment can also be realized respectively, which will not be elaborated here either.

[0043] Although the present application has been described in combination with specific features and their embodiments, obviously, various modifications and combinations can be made without departing from the spirit and scope of the present application. Accordingly, this specification and the drawings are merely exemplary descriptions of the present application defined by the appended claims, and are considered to have covered any and all modifications, variations, combinations, or equivalents within the scope of the present application. Obviously, those skilled in the art can make various changes and modifications to the present application without departing from the scope of the present application. Thus, if these modifications and variations of the present application fall within the scope of the present application and its equivalent technologies, the present application is intended to include these changes and modifications.

Claims

1. A continuous casting heat transfer difference analysis method based on diffusion-convection coupling, characterized in that: The method comprises: Constructing a multi-physics coupling model, wherein the multi-physics coupling model establishes a heat transfer process based on the coupled interaction of diffusion and convection effects; Setting boundary conditions corresponding to the multi-physics field coupling model; Discretizing and numerically solving the multi-physics field coupling model to obtain the field distribution of each physical field based on the coupling interaction; The interaction between the diffusion and convection effects at continuous time and space positions is analyzed according to the field distribution to obtain the continuous casting heat transfer difference analysis results.

2. The continuous casting heat transfer difference analysis method based on diffusion-convection coupling according to claim 1 is characterized in that: Discretizing and numerically solving the multi-physics field coupling model includes: The temperature field and velocity field of each continuous casting area are spatially discretized through mesh division, and the continuous physical field is converted into a finite number of discrete mesh nodes; Numerically solving the coupled effects of heat transfer in the temperature field and fluid flow in the velocity field at each of the discrete grid nodes; In the numerical solution process, the distribution of the temperature field and the velocity field is optimized at each discrete grid node by an iterative solution method; According to the iterative solution results, the changes of the temperature field and the velocity field in each continuous casting area are analyzed, and the interaction between the diffusion and convection effects in continuous time and space position is quantified.

3. The continuous casting heat transfer difference analysis method based on diffusion-convection coupling according to claim 2 is characterized in that: Quantify the interaction of the diffusion and convection effects over continuous time and spatial locations, including: Obtaining the change rate of the temperature field and the flow velocity field of each discrete grid node; Based on the iterative solution results, the coupling strength of the diffusion and convection effects is obtained by simulating the change rate of the temperature field and the flow velocity field; Identifying potential temperature anomaly areas according to the change in the coupling strength, and determining the coupling influence range of the diffusion and convection effects according to the temperature anomaly areas; The interaction between the diffusion and convection effects at continuous time and spatial positions is determined based on the coupled influence range.

4. The continuous casting heat transfer difference analysis method based on diffusion-convection coupling according to claim 1 is characterized in that: Get temperature field distribution, including: Obtain continuous casting heat source items according to temperature gradient and external heat source power; Set up heat loss terms based on heat exchange mechanisms and metal physical properties; Taking the continuous casting heat source term and the heat loss term as input parameters, and establishing a fluid dynamics model based on the heat exchange mechanism; Based on the influence of the continuous casting heat source term and the heat loss term on the temperature distribution, the heat transfer process is simulated according to the fluid dynamics model to obtain the temperature field distribution.

5. The continuous casting heat transfer difference analysis method based on diffusion-convection coupling according to claim 4 is characterized in that: Simulate heat transfer processes, including: Based on the fluid dynamics model, solving the diffusion equation and the convection equation and obtaining a coupling equation, wherein the diffusion equation describes the conduction diffusion process of heat, and the convection equation describes the convection transfer process of heat; The coupling equations are discretized using a numerical method; Introducing the heat source term and the heat loss term into the coupling equation as calculation coefficients, and solving the gradient value of the temperature gradient by discrete iteration; Based on the magnitude of the gradient value, the heat transfer process is simulated according to the fluid dynamics model.

6. The continuous casting heat transfer difference analysis method based on diffusion-convection coupling according to claim 1 is characterized in that: Analyze the impact of diffusion and convection effects on thermal inhomogeneities and heat transfer behavior, including: Obtain the temperature gradient and heat flux density of each continuous casting area; Obtaining the intensity value of the effect of the diffusion and convection effects on the temperature gradient in each continuous casting area; Simulating a heat flux path based on the heat flux in each continuous casting zone, and obtaining potential heat transfer differences according to abnormal values ​​existing in the heat flux path; The thermal non-uniformity and heat transfer difference in the continuous casting process are analyzed based on the action intensity value and the potential heat transfer difference.

7. The continuous casting heat transfer difference analysis method based on diffusion-convection coupling according to claim 6 is characterized in that: Capture potential heat transfer differences, including: Collect the instantaneous heat flux density and instantaneous temperature gradient of each continuous casting area according to the time node; Based on the differences in the instantaneous heat flux density and the instantaneous temperature gradient, the dynamic range of the difference in heat transfer due to the diffusion and convection effects in different continuous casting regions is obtained; quantifying the time dependence of the diffusion and convection effects on the heat transfer differences of each continuous casting zone based on the time nodes; According to the dynamic change range and the time dependency of each continuous casting zone, the potential heat transfer difference is obtained by comparing historical heat information.

8. The continuous casting heat transfer difference analysis method based on diffusion-convection coupling according to claim 1 is characterized in that: Setting the boundary conditions corresponding to the multi-physics field coupling model includes: Setting temperature boundary conditions according to actual operating conditions of the process, wherein the temperature boundary conditions include initial temperature, surface temperature, and temperature distribution in the phase change region; The fluid dynamic characteristic boundary conditions are set according to the fluid flow characteristics, and the fluid dynamic characteristic boundary conditions include fluid velocity, turbulence model and thermal physical property parameters of the fluid.

9. A continuous casting heat transfer difference analysis system based on diffusion-convection coupling, characterized in that: The system comprises: Model building module, building a multi-physics coupling model, which establishes the heat transfer process based on the coupled interaction of diffusion and convection effects; Boundary definition module, which sets the boundary conditions corresponding to the multi-physics field coupling model; Discrete mathematics module discretizes and numerically solves the multi-physics field coupling model to obtain the field distribution of each physical field based on the coupling interaction; The difference analysis module analyzes the interaction between diffusion and convection effects at continuous time and space positions based on field distribution to obtain the continuous casting heat transfer difference analysis results.

10. The continuous casting heat transfer difference analysis system based on diffusion-convection coupling according to claim 9 is characterized in that: The discrete mathematics module includes: Spatial discrete units discretize the temperature field and velocity field of each continuous casting area through grid division, and convert the continuous physical field into a finite number of discrete grid nodes; A numerical solution unit is used to numerically solve the coupling effect of heat transfer in the temperature field and fluid flow in the velocity field at each discrete grid node; Iterative optimization unit, in the process of numerical solution, optimizes the distribution of temperature field and velocity field at each discrete grid node through iterative solution method; The effect quantification unit analyzes the changes in temperature field and velocity field in each continuous casting area based on the iterative solution results, and quantifies the interaction between diffusion and convection effects in continuous time and space.

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