Method for calculating slag entrapment amount of continuous casting mold powder based on computational fluid mechanics

By combining computational fluid mechanics model and grid adaptive technology, the problem of protecting the amount of slag rolls in continuous casting crystallizers is solved, precise tracking of slag drop motion and capture process is achieved, and continuous casting process is optimized to reduce surface defects of the automobile outer panel.

CN120409354APending Publication Date: 2025-08-01SHANGHAI UNIV +1
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Patent Information

Application Number
CN202510640286.8
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-05-19
Publication Date
2025-08-01

AI Technical Summary

Technical Problem

The prior art is difficult to accurately analyze and control the amount of protective slag rolls during continuous casting of crystallizers, especially under high temperature and invisible conditions, it is difficult to track the movement of slag droplets and the capture of the newly born solidified blank shell, which makes it difficult to control the surface defects of the automobile outer plate.

Method used

Using a method based on computational fluid mechanics, combined with large eddy simulation (LES) turbulence model, multi-phase flow model (VOF) and discrete phase model (DPM), combined with grid adaptive coarse refinement mechanism and VOF-to-DPM conversion mechanism, numerical simulation of the amount of continuous casting protected slag rolls is carried out, and the position, size and mass of slag drops are quantitatively counted, and the motion and capture process of slag drops are tracked.

Benefits of technology

Accurate control of the amount of protective slag rolls is achieved, the calculation cost is reduced, and the movement and capture process of slag droplets can be accurately tracked in the crystallizer, and the continuous casting process is optimized to reduce the incidence of surface defects of automobile outer panels.

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Abstract

The invention relates to a method for calculating the slag entrapment amount of continuous casting covering slag based on computational fluid mechanics, which adopts a large eddy simulation (LES) turbulence model, a multiphase flow model (VOF) and a discrete phase model (DPM) in CFD calculation, and combines a grid self-adaptive coarsening and refining mechanism and a VOF-to-DPM conversion mechanism. The method is used for numerical simulation and control of the slag entrapment amount of the continuous casting covering slag under the argon blowing condition, a slag entrapment mode calculation result is verified through a water model experiment, and a numerical simulation calculation result obtained through the method is well matched with a water model experiment result. Compared with the prior art, the method has the advantages that the slag entrapment amount of the continuous casting covering slag can be effectively calculated, and a basis is provided for controlling the slag entrapment amount of the covering slag.
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Description

Technical Field

[0001] The present invention relates to the technical field of continuous casting processes, and in particular, to a method for calculating the slag entrainment amount of a continuous casting flux based on computational fluid dynamics. Background Art

[0002] The production technology of automotive outer panels covers the metallurgical processes and surface quality control technologies of the ironmaking pretreatment, converter, refining, continuous casting, and machine cleaning in the steelmaking process, as well as the subsequent processes of hot rolling, cold rolling, hot dip galvanizing, etc. Steelmaking defects can only be detected during the quality inspection of hot dip galvanized sheets after passing through the hot rolling, cold rolling, and hot dip galvanizing processes. The formation history of steelmaking defects is long and involves many processes, and they are intertwined with the defects generated in the hot rolling, cold rolling, and hot dip galvanizing processes, making it difficult to identify and determine. Moreover, the entire process from the analysis and discrimination of steelmaking defects, to the improvement of the continuous casting process in steelmaking, and then to the verification and feedback of the effects has a long cycle and poor correspondence. In particular, the occurrence of steelmaking defects on the surface of thin sheets is sporadic and random, resulting in great difficulties in identifying steelmaking defects, tracing their sources, and targeted process optimization. Therefore, the research on the control technology of steelmaking defects on the surface of automotive outer panels is a representative R & D topic with high difficulty and strong comprehensiveness in key iron and steel enterprises.

[0003] The continuous casting mold is the last link before the solidification of molten steel and is also the core part in the continuous casting process, known as the "heart" of the continuous casting machine. Mold metallurgy is the last chance to remove inclusions and slag entrainment particles in molten steel. Therefore, the continuous casting mold is also the key link in controlling steelmaking defects on the surface of automotive outer panels. When molten steel enters the mold from the tundish through the submerged entry nozzle, initial solidification is completed in the mold to form an initial solidified shell with a certain thickness. Since the initial solidified shell is located on the outermost layer of the continuous casting billet, the steelmaking defects on the surface of cold-rolled sheet products directly depend on whether the initial solidified shell captures slag entrainment, large inclusions, and bubbles. Among them, the slag entrainment defect usually accounts for more than 50% of the surface defects of automotive outer panels and is also highly harmful. Therefore, how to improve the continuous casting process parameters and reduce the incidence of slag entrainment is crucial for controlling steelmaking defects on the surface of cold-rolled sheet products such as automotive outer panels and has become an urgent technical problem to be solved.

[0004] However, the continuous casting mold process is characterized by high temperature and non-visibility, making it difficult to accurately analyze and count the amount of slag entrainment in industrial applications. Therefore, the control of the amount of slag entrainment in continuous casting fluxes has always been a technical problem in the continuous casting of automotive outer panels with high surface quality. Numerical simulation studies of the continuous casting mold process usually focus on the flow field in the mold, and the influence on the slag entrainment process is predicted through the flow field. For the coupled calculation and simulation of molten steel and protective slag, the VOF model is usually adopted. However, due to the limitations of grid size and computational cost, it is difficult to reproduce the slag entrainment process of fine slag droplets. In the VOF model, it is difficult to count information such as the position, size, and mass of slag droplets, and it is even more impossible to track the movement of slag droplets, their re-entry into the protective slag layer, and their capture by the primary solidified shell.

[0005] Therefore, it is very important to invent a calculation method for the amount of slag entrainment in continuous casting fluxes based on computational fluid dynamics, which can quantitatively count information such as the position, size, and mass of the entrained protective slag droplets, and track the movement of slag droplets and their capture by the primary solidified shell. Summary of the Invention

[0006] The purpose of the present invention is to overcome the defects of the above-mentioned existing technologies and provide a calculation method for the amount of slag entrainment in continuous casting fluxes based on computational fluid dynamics, which is used for the quantitative analysis and statistics of the amount of slag entrainment in the protective slag in the continuous casting mold. At the same time, it counts information such as the position, size, and mass of the entrained protective slag droplets, tracks the movement of slag droplets and their capture by the primary solidified shell, and solves the control problem of the amount of slag entrainment in the continuous casting of automotive outer panels with high surface quality.

[0007] The purpose of the present invention can be achieved through the following technical solutions:

[0008] The purpose of the present invention is to provide a calculation method for the amount of slag entrainment in continuous casting fluxes based on computational fluid dynamics, which adopts the large eddy simulation (hereinafter referred to as LES) turbulence model, multiphase flow model (hereinafter referred to as VOF), and discrete phase model (hereinafter referred to as DPM) in CFD calculations, combined with a grid adaptive coarsening and refinement mechanism and a VOF-to-DPM conversion mechanism, for the numerical simulation and control of the amount of slag entrainment in continuous casting fluxes under argon blowing conditions.

[0009] Furthermore, a water model experiment is used to verify the calculation results of the slag entrainment mode.

[0010] Furthermore, the calculation method for the amount of slag entrainment in continuous casting fluxes based on computational fluid dynamics includes the following steps:

[0011] 1) According to the mold data and continuous casting process parameters, establish a geometric model of the continuous casting mold process;

[0012] 2) In the geometric model established in step 1), a computational model of the multiphase coupled flow field of molten steel, liquid mold powder, and argon in the mold is established by using the large eddy simulation (LES) turbulence model, the multiphase flow model (VOF), and the discrete phase model (DPM) in computational fluid dynamics (CFD). The tracking method for molten steel and liquid mold powder is the VOF model, and the tracking method for argon is the DPM model. In the VOF model, the part surrounded by the interface with the preset volume fraction (0.05) of the mold powder is regarded as the slag droplet;

[0013] 3) On the basis of the computational model of the multiphase coupled flow field, for the mold powder entrainment in the mold, combined with the mesh adaptive coarsening and refinement mechanism, local dynamic adaptive mesh refinement and coarsening are carried out near the mold powder interface to track the process of mold powder entrainment. When mold powder entrainment occurs, the slag droplet peels off the slag layer;

[0014] 4) After the slag droplet peels off the slag layer, the VOF-to-DPM mechanism is executed to convert the tracking method of the slag droplet from the VOF model to the DPM model to quantitatively statistically analyze information such as the position, size, and mass of the slag droplet;

[0015] 5) Apply the computational model established in steps 2) to 4) to the geometric model established in step 1) for computational fluid dynamics calculation, and statistically analyze the amount of mold powder entrainment and the existence mode of slag droplets.

[0016] Furthermore, in step 1), the mold data and continuous casting process parameters are input to solve the problem of mold powder entrainment in the mold, and the amount of mold powder entrainment, the existence mode, and the proportion of slag droplets are obtained.

[0017] Furthermore, the mold is a continuous casting mold.

[0018] Furthermore, before performing step 1), one or more of the mold data and continuous casting process parameter data are collected.

[0019] Furthermore, the collected mold data includes one or more of the width and thickness data of the mold, and the nozzle setting data of the mold.

[0020] Furthermore, the collected continuous casting process parameter data includes one or more of the argon flow rate and the casting speed.

[0021] Furthermore, the nozzle of the mold is a submerged nozzle.

[0022] Furthermore, the nozzle setting data of the mold includes the inner diameter and outer diameter of the nozzle of the mold, the inclination angle of the nozzle of the mold, and the immersion depth of the nozzle of the mold.

[0023] Furthermore, step 3) specifically includes the following process:

[0024] Based on the computational model of the multiphase coupled flow field, aiming at the mold powder entrainment in the continuous casting mold, combined with the grid adaptive coarsening and refinement mechanism, local dynamic adaptive grid refinement and coarsening are carried out near the steel-slag interface. When the curvature of the steel-slag interface in the grid increases to a certain value, local encryption is performed to track the local distortion of the mold powder interface, that is, the entrainment process. After the entrainment occurs, the slag droplets peel off the slag layer, and the curvature of the steel-slag interface decreases. When the curvature of the steel-slag interface in the grid is less than a certain value, the grid size returns to the initial size.

[0025] Furthermore, when the curvature of the steel-slag interface in the grid increases to the preset value, local encryption is performed.

[0026] Furthermore, when the curvature of the steel-slag interface in the grid increases to 0.0006, local encryption is performed.

[0027] Furthermore, when the curvature of the steel-slag interface in the grid is less than the preset value, the grid size returns to the initial size.

[0028] Furthermore, when the curvature of the steel-slag interface in the grid is less than 0.00001, the grid size returns to the initial size.

[0029] Furthermore, in step 5), the existence modes of the slag droplets include one or more of re-entering the mold powder layer, being captured by the primary solidified shell, or staying in the computational domain.

[0030] Furthermore, in step 5), the statistics of the mold powder entrainment amount and the existence modes of the slag droplets include one or more of the following: statistically calculating the mass of the slag droplets entrained from the mold powder layer into the molten steel, and statistically calculating the existence modes of the total slag droplets (assuming the slag droplets entrained from the mold powder layer into the molten steel are the total slag droplets).

[0031] Furthermore, the statistics of the existence modes of the total slag droplets include one or more of the following: statistically calculating the mass of the slag droplets re-entering the mold powder layer, statistically calculating the proportion of the slag droplets re-entering the mold powder layer in the total slag droplets, statistically calculating the mass of the slag droplets captured by the primary solidified shell, statistically calculating the proportion of the slag droplets captured by the primary solidified shell in the total slag droplets, statistically calculating the mass of the slag droplets staying in the computational domain, and statistically calculating the proportion of the slag droplets staying in the computational domain in the total slag droplets.

[0032] Furthermore, there are three entrainment modes, namely vortex entrainment, shear entrainment, and bubble entrainment.

[0033] Compared with the prior art, the present invention has the following beneficial effects:

[0034] 1) The calculation method of the slag entrainment amount of continuous casting powder based on computational fluid dynamics provided by this technical solution introduces a grid adaptive coarsening and refinement mechanism in the numerical simulation of the molten steel and liquid powder flow fields in the mold. Without a large increase in the number of grids, it greatly improves the accuracy of tracking the behavior of the steel-slag interface and the behavior of entrained slag droplets.

[0035] 2) The calculation method of the slag entrainment amount of continuous casting powder based on computational fluid dynamics provided by this technical solution introduces the VOF-to-DPM mechanism in the numerical simulation of the molten steel and liquid powder flow fields in the mold, converts the fine entrained slag droplets from the VOF model that is difficult to count into the DPM model, realizes the quantitative statistics of information such as the slag entrainment amount and the position, size, and mass of the slag droplets entrained into the molten steel, and realizes the accurate tracking of the movement and capture process of the slag droplets.

[0036] 3) The calculation method of the slag entrainment amount of continuous casting powder based on computational fluid dynamics provided by this technical solution can well "visualize" the slag entrainment process in the continuous casting mold, accurately track the movement of the liquid powder layer and the entrained slag droplets and the capture process of the entrained slag droplets, which is of great significance for studying the slag entrainment mechanism and optimizing the continuous casting process conditions to reduce the slag entrainment defects of the powder. At the same time, it greatly reduces the calculation cost and is suitable for popularization and use. Description of the Drawings

[0037] Figure 1 Schematic diagram of the continuous casting powder droplet slag entrainment model and grid adaption.

[0038] Figure 2 Calculation results of three main slag entrainment mechanisms and verification results of the water model.

[0039] Figure 3 Slag entrainment amount and existence mode of continuous casting powder under different casting speeds. Detailed Embodiments

[0040] The present invention will be described in detail below with reference to the drawings and specific embodiments. Features such as component models, material names, connection structures, control methods, algorithms, etc. that are not clearly stated in this technical solution are regarded as common technical features disclosed in the prior art.

[0041] It should be noted that in the present invention, relative terms such as first and second are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any actual relationship or order between these entities or operations. Moreover, the terms "comprising", "including" or any other variants thereof are intended to cover non-exclusive inclusion, such that a process, method, article or device comprising a series of elements not only includes those elements, but also includes other elements not expressly listed, or elements inherent to such process, method, article or device. Without further limitation, an element defined by the statement "comprising one..." does not exclude the presence of additional identical elements in the process, method, article or device comprising the element.

[0042] The present invention relates to a method for calculating the slag entrainment amount of continuous casting flux based on computational fluid dynamics, which uses the large eddy simulation (LES) turbulence model, multiphase flow model (VOF) and discrete phase model (DPM) in CFD calculations, combines a grid adaptive coarsening and refinement mechanism and a VOF-to-DPM conversion mechanism, and is used for numerical simulation and control of the slag entrainment amount of continuous casting flux under argon blowing conditions. The calculation results of the slag entrainment mode are verified by water model experiments, and the numerical simulation calculation results of the present invention are in good agreement with the water model experiment results. Compared with the prior art, the method of the present invention can effectively calculate the slag entrainment amount of continuous casting flux, providing a basis for controlling the slag entrainment amount of the flux.

[0043] The following further elaborates on the content of the present invention in conjunction with specific embodiments.

[0044] Embodiment 1

[0045] This embodiment provides a method for calculating the slag entrainment amount of continuous casting flux based on computational fluid dynamics, which includes the following steps:

[0046] 1) According to the mold data and continuous casting process parameters, establish a geometric model of the continuous casting mold process;

[0047] 2) In the geometric model established in step 1), use the large eddy simulation (LES) turbulence model, multiphase flow model (VOF) and discrete phase model (DPM) in computational fluid dynamics (CFD) calculations to establish a computational model of the multiphase coupled flow field of molten steel, liquid flux and argon in the mold (continuous casting flux droplet slag entrainment model). The tracking method of molten steel and liquid flux is the VOF model, and the tracking method of argon is the DPM model. In the VOF model, the part surrounded by the interface with a flux volume fraction of 0.05 is regarded as a slag droplet;

[0048] 3) Based on the computational model of the multiphase coupled flow field, for the mold powder entrainment in the continuous casting mold, combined with the grid adaptive coarsening and refinement mechanism, local dynamic adaptive grid refinement and coarsening are carried out near the powder interface to track the entrainment process. After the entrainment occurs, the slag droplets peel off from the slag layer, and the curvature of the steel-slag interface decreases. When the curvature of the steel-slag interface in the grid is less than a certain value, the grid size returns to the initial size (grid coarsening) to reduce the number of grids and the computational cost;

[0049] 4) After the slag droplets peel off from the slag layer, the VOF-to-DPM mechanism is executed to convert the tracking method of the slag droplets from the VOF model to the DPM model to quantitatively count information such as the position, size, and mass of the slag droplets;

[0050] 5) Apply the computational model established in steps 2) - 4) to the geometric model established in step 1) for computational fluid dynamics calculation, and count the amount of mold powder entrainment and the existence patterns of the slag droplets. The existence patterns of the slag droplets include one or more of re-entering the slag layer, being captured by the primary solidified shell, or staying in the computational domain, thereby enabling accurate statistics of the amount of mold powder entrainment and the existence patterns of the slag droplets.

[0051] In step 1), the mold data and continuous casting process parameters are input, the problem of mold powder entrainment in the continuous casting mold is solved, and the amount of mold powder entrainment, the existence patterns of the slag droplets, and their proportions are obtained.

[0052] The mold is a continuous casting mold, and the nozzle of the continuous casting mold is a submerged nozzle.

[0053] Before executing step 1), one or more of the mold data and continuous casting process parameter data are collected.

[0054] The collected mold data includes one or more of the width and thickness data of the mold and the nozzle setting data of the mold. The collected continuous casting process parameter data includes one or more of the argon flow rate and the casting speed.

[0055] The nozzle setting data of the mold includes the inner diameter and outer diameter of the nozzle of the mold, the inclination angle of the nozzle of the mold, and the immersion depth of the nozzle of the mold.

[0056] Local encryption is carried out when the curvature of the steel-slag interface in the grid increases to 0.0006.

[0057] When the curvature of the steel-slag interface in the grid is less than 0.00001, the grid size returns to the initial size.

[0058] In step 5), the methods for counting the amount of slag entrainment and the existence modes of slag droplets in the mold powder include one or more of the following: counting the mass of the slag droplets entrained from the mold powder layer into the molten steel, and counting the existence modes of the total slag droplets (assuming the slag droplets entrained from the mold powder layer into the molten steel are the total slag droplets). Among them, the methods for counting the existence modes of the total slag droplets include one or more of the following: counting the mass of the slag droplets re-entering the mold powder layer, counting the proportion of the slag droplets re-entering the mold powder layer in the total slag droplets, counting the mass of the slag droplets captured by the primary solidified shell, counting the proportion of the slag droplets captured by the primary solidified shell in the total slag droplets, counting the mass of the slag droplets staying in the computational domain, and counting the proportion of the slag droplets staying in the computational domain in the total slag droplets.

[0059] Figure 1 It is a schematic diagram of the continuous casting mold powder droplet entrainment model and grid adaptation. The large eddy simulation (LES) is used for the turbulence model, the discrete phase model (DPM) is used for argon, and the volume of fluid (VOF) model is used for the multiphase coupling model of molten steel and mold powder. A VOF-to-DPM conversion mechanism is adopted to transfer the slag droplets from the VOF model to the DPM model. A grid adaptation coarsening and refinement mechanism is adopted to perform local dynamic adaptive grid refinement and coarsening near the steel-slag interface. When the curvature of the steel-slag interface in the grid increases to a certain value, local encryption (grid refinement) is carried out to more accurately track the local distortion of the steel-slag interface, that is, the slag entrainment process; when slag entrainment occurs, the slag droplets peel off the slag layer, and the curvature of the steel-slag interface decreases. When the curvature is less than a certain value, the grid size returns to the initial size (grid coarsening) to reduce the number of grids and the computational cost.

[0060] Verification example

[0061] There are three slag entrainment modes, namely vortex slag entrainment, shear slag entrainment, and bubble slag entrainment. Figure 2 It shows the calculation results of the three main slag entrainment mechanisms (using the calculation method of continuous casting mold powder slag entrainment amount based on computational fluid dynamics in Example 1) and the verification results of the water model. It can be seen that the numerical simulation calculation results of the three slag entrainment modes are in good agreement with the experimental results of the water model.

[0062] The water model experiment specifically includes the following steps:

[0063] 1) Establish an acrylic model of the mold according to the continuous casting process parameters;

[0064] 2) Conduct a water model experiment using water instead of molten steel, silicone oil instead of liquid mold powder, and air instead of argon;

[0065] 3) Use a high-speed camera to record the flow behavior of molten steel and mold powder near the steel-slag interface;

[0066] 4) Obtain snapshots of the moments when the three slag entrainment modes occur for verifying the calculation results.

[0067] Example 2

[0068] In this embodiment, for a continuous casting mold with a width of 900 mm and a thickness of 230 mm, an immersion nozzle with an inner diameter of 80 mm and a downward inclination angle of 15° is used. Under the conditions of an immersion depth of 140 mm, an argon flow rate of 6 L / min, and a casting speed (billet drawing speed) of 1.4 m / min, numerical simulation calculations are carried out (using the calculation method of the slag entrainment amount of continuous casting powder based on computational fluid dynamics in Example 1).

[0069] As Figure 3 The results show that the mass of the slag droplets entrained into the molten steel from the powder layer within 40 s is 12.30 g. These slag droplets have three forms of existence: re-entering the powder layer, being captured by the primary solidified shell, and staying in the computational domain. The proportion of slag droplets re-entering the powder layer is 94.15%; the proportion of slag droplets captured by the primary solidified shell is 4.07%, and the maximum size of the slag droplets is 2.85 mm; the proportion of slag droplets staying in the computational domain is 1.78%, and the maximum size of the slag droplets is 2.47 mm.

[0070] Example 3

[0071] The casting speed is increased from 1.4 m / min to 1.6 m / min, and other mold conditions and continuous casting process conditions are the same as those in Example 2. Numerical simulation calculations are carried out (using the calculation method of the slag entrainment amount of continuous casting powder based on computational fluid dynamics in Example 1).

[0072] As Figure 3 The results show that the mass of the slag droplets entrained into the molten steel from the powder layer within 40 s is 45.65 g. These slag droplets have three forms of existence: re-entering the powder layer, being captured by the primary solidified shell, and staying in the computational domain. The proportion of the powder slag droplets re-entering the powder layer is 91.57%; the proportion of the powder slag droplets captured by the primary solidified shell is 5.24%, and the maximum size of the slag droplets is 3.92 mm; the proportion of the powder slag droplets staying in the computational domain is 3.20%, and the maximum size of the slag droplets is 3.45 mm.

[0073] Example 4

[0074] The casting speed is increased from 1.4 m / min to 1.8 m / min, and other mold conditions and continuous casting process conditions are the same as those in Example 2. Numerical simulation calculations are carried out (using the calculation method of the slag entrainment amount of continuous casting powder based on computational fluid dynamics in Example 1).

[0075] As Figure 3The results show that the mass of slag droplets entrained from the mold slag layer into the molten steel within 40 seconds was 90.50 g. These droplets can exist in three modes: re-entering the mold slag layer, being captured by the primary solidifying shell, and remaining in the computational domain. The mold slag droplets that re-entered the mold slag layer accounted for 90.44%; those captured by the primary solidifying shell accounted for 5.37%, with the maximum droplet size reaching 5.21 mm; and those that remained in the computational domain accounted for 4.19%, with the maximum droplet size reaching 5.82 mm.

[0076] By comparing the mold slag entanglement results at three pulling speeds of 1.4m / min, 1.6m / min, and 1.8m / min, it can be seen that as the pulling speed increases, the proportion of mold slag drops captured by the primary solidified shell increases from 4.07% to 5.24% and 5.37%. Therefore, as the pulling speed increases, the incidence of slag entanglement defects in automobile outer panels increases.

[0077] It can be seen that the calculation method of the continuous casting mold slag entanglement amount based on computational fluid dynamics of the present invention is of great significance for studying the entanglement mechanism and optimizing the continuous casting process conditions to reduce the mold slag entanglement defect.

[0078] The above description of the embodiments is intended to facilitate understanding and use of the invention by those skilled in the art. It will be apparent that those skilled in the art can readily make various modifications to these embodiments and apply the general principles described herein to other embodiments without requiring inventive effort. Therefore, the present invention is not limited to the above-described embodiments. Improvements and modifications made by those skilled in the art based on the disclosure of the present invention, without departing from the scope of the present invention, should be within the scope of protection of the present invention.

Claims

1. A calculation method for the slag entrainment amount of continuous casting flux based on computational fluid dynamics, characterized in that, The method includes the following steps: 1) Establish a geometric model of the continuous casting mold process based on the mold data and continuous casting process parameters; 2) Establish a computational model of the multiphase coupled flow field of molten steel, liquid mold flux, and argon gas in the mold using the large eddy simulation turbulence model, multiphase flow model, and discrete phase model in computational fluid dynamics. The tracking method for molten steel and liquid mold flux is the multiphase flow model, and the tracking method for argon gas is the discrete phase. In the multiphase flow model, the part surrounded by the interface with the preset volume fraction of mold flux is regarded as slag droplets; 3) Based on the computational model of the multiphase coupled flow field, for the mold flux entrainment in the mold, combined with the grid adaptive coarsening and refinement mechanism, perform local dynamic adaptive grid refinement and coarsening near the mold flux interface to track the entrainment process. When entrainment occurs, the slag droplets peel off the slag layer; 4) After the slag droplets peel off the slag layer, execute the VOF-to-DPM mechanism to convert the tracking method of the slag droplets from the multiphase flow model to the discrete phase model to quantitatively statistically analyze the position, size, and mass information of the slag droplets; 5) Apply the computational models established in steps 2) to 4) to the geometric model established in step 1) to perform computational fluid dynamics calculations and statistically analyze the amount of mold flux entrainment and the existence mode of slag droplets.

2. The calculation method of the slag entrainment amount of the continuous casting powder based on computational fluid dynamics according to claim 1, wherein In step 1), input the mold data and continuous casting process parameters, solve the problem of mold flux entrainment in the mold, and obtain the amount of mold flux entrainment, the existence mode of slag droplets, and their proportions.

3. The calculation method of the slag entrainment amount of the continuous casting powder based on computational fluid dynamics according to claim 2, characterized in that, The mold is a continuous casting mold; Before executing step 1), collect one or more of the mold data and continuous casting process parameter data.

4. A calculation method for the slag entrainment amount of continuous casting powder based on computational fluid dynamics according to claim 2, characterized in that, The collected mold data includes one or more of the width and thickness data of the mold, and the nozzle setting data of the mold; The collected continuous casting process parameter data includes one or more of the argon gas flow rate and casting speed.

5. A calculation method for the slag entrainment amount of continuous casting flux based on computational fluid dynamics according to claim 4, characterized in that, The nozzle of the mold is a submerged nozzle; The nozzle setting data of the mold includes the inner diameter and outer diameter of the nozzle of the mold, the inclination angle of the nozzle of the mold, and the immersion depth of the nozzle of the mold.

6. The calculation method of the slag entrainment amount of the continuous casting flux based on computational fluid dynamics according to claim 1, wherein Step 3) specifically includes the following process: Based on the computational model of the multiphase coupled flow field, for the mold flux entrainment in the mold, combined with the grid adaptive coarsening and refinement mechanism, perform local dynamic adaptive grid refinement and coarsening near the steel-slag interface. When the curvature of the steel-slag interface in the grid increases to a certain value, perform local encryption to track the local distortion of the mold flux interface, that is, the entrainment process. When entrainment occurs, the slag droplets peel off the slag layer, and the curvature of the steel-slag interface decreases. When the curvature of the steel-slag interface in the grid is less than a certain value, the grid size returns to the initial size.

7. The calculation method of the slag entrainment amount of the continuous casting powder based on computational fluid dynamics according to claim 6, characterized in that, Perform local encryption when the curvature of the steel-slag interface in the grid increases to the preset value; The grid size returns to the initial size when the curvature of the steel-slag interface in the grid is less than the preset value.

8. A calculation method for the slag entrainment amount of continuous casting powder based on computational fluid dynamics according to claim 1, characterized in that, In step 5), the existence mode of the slag droplets includes one or more of re-entering the slag layer, being captured by the primary solidified shell, or staying in the computational domain.

9. The calculation method of the slag entrainment amount of the continuous casting powder based on computational fluid dynamics according to claim 8, characterized in that, In step 5), statistically analyzing the amount of mold flux entrainment and the existence mode of slag droplets includes one or more of the following: Statistically analyze the mass of the slag droplets entrained from the slag layer into the molten steel, Set the slag droplets entrained from the slag layer into the molten steel as the total slag droplets and statistically analyze the existence mode of the total slag droplets.

10. A calculation method for the slag entrainment amount of continuous casting powder based on computational fluid dynamics according to claim 9, characterized in that, The existence modes of the total slag droplets include one or more of the following: Count the mass of the slag droplets that re-enter the mold powder layer, Count the proportion of the slag droplets that re-enter the mold powder layer in the total slag droplets, Count the mass of the slag droplets captured by the primary solidified shell, Count the proportion of the slag droplets captured by the primary solidified shell in the total slag droplets, Count the mass of the slag droplets staying in the computational domain, Count the proportion of the slag droplets staying in the computational domain in the total slag droplets.

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