CN111931392B - Method and device for optimizing argon blowing parameters of plasma heating tundish bottom - Google Patents

Method and device for optimizing argon blowing parameters of plasma heating tundish bottom Download PDF

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CN111931392B
CN111931392B CN202011106360.1A CN202011106360A CN111931392B CN 111931392 B CN111931392 B CN 111931392B CN 202011106360 A CN202011106360 A CN 202011106360A CN 111931392 B CN111931392 B CN 111931392B
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tundish
argon
preset
parameter
parameters
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CN111931392A (en
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杨树峰
赵梦静
汪易航
李京社
王勇
宋景欣
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University of Science and Technology Beijing USTB
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/10Numerical modelling
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00Details relating to the application field
    • G06F2113/08Fluids
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/08Thermal analysis or thermal optimisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14Force analysis or force optimisation, e.g. static or dynamic forces

Abstract

The invention relates to a method and a device for optimizing parameters of argon blowing at the bottom of a plasma heating tundish, wherein the method comprises the following steps: according to the obtained actual size of the tundish, constructing a tundish three-dimensional model in equal proportion and carrying out meshing to obtain a first file; obtaining a first parameter according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish; performing simulation calculation according to the first parameters and each acquired preset bottom argon blowing parameter to obtain a second file; performing visualization and animation processing on the second file to obtain a temperature cloud picture and a flow trace picture of a water outlet longitudinal section of the tundish three-dimensional model; judging whether the number of the preset bottom blowing argon parameters after the simulation calculation reaches a first preset number or not; and if so, determining a target bottom blowing argon parameter from each temperature cloud chart and each corresponding flow trace chart according to a preset rule, and otherwise, acquiring a first preset number of preset bottom blowing argon parameters. The uniformity of temperature distribution in the package in the middle of this scheme can improve plasma heating.

Description

Method and device for optimizing argon blowing parameters of plasma heating tundish bottom
Technical Field
The invention relates to the technical field of ferrous metallurgy continuous casting, in particular to a method and a device for optimizing argon blowing parameters of a plasma heating tundish bottom.
Background
The tundish plasma heating is a new clean and efficient technology capable of accurately adjusting the temperature, is gradually applied to the production of domestic iron and steel enterprises, and is used for keeping the molten steel in the tundish at a proper and stable temperature so as to ensure that a casting blank with higher quality is produced. The existing plasma heating technology generally adopts a plasma gun and the like to heat at a single point or multiple points, the temperature of molten steel near a heating point can be improved to a certain extent, the temperature drop of the molten steel is compensated, and the influence on the quality of a casting blank is reduced.
In order to ensure the production of a higher quality cast slab, it is necessary to maintain a suitable and stable temperature of the molten steel in the tundish. Adopt the end to blow argon gas and can stir molten steel in the middle package, improve the inside molten steel flow state of middle package, promote the inside heat transfer of middle package, the molten steel temperature in the even middle package, but the different end blows argon parameter and can influence temperature field and flow field in the middle package, and the unreasonable end blows argon parameter and will lead to the temperature distribution difference in the middle package big, and the heat transfer effect is poor.
Disclosure of Invention
The invention aims to solve the technical problems of improving the uniformity of temperature distribution in a plasma heating tundish and improving the plasma heating effect, and provides a method and a device for optimizing argon blowing parameters of the bottom of the plasma heating tundish aiming at the defects in the prior art.
In order to solve the technical problem, in a first aspect, the present invention provides a method for optimizing parameters of argon blowing at the bottom of a plasma heating tundish, including:
acquiring the actual size of a tundish, constructing a tundish three-dimensional model in equal proportion according to the actual size of the tundish, and performing mesh division to obtain a first file;
obtaining a first parameter according to the first file, a tundish mathematical model and molten steel attribute information in a tundish, wherein the tundish mathematical model is used for representing a tundish and a flowing process of molten steel and argon in the tundish, and the first parameter is used for simulating a tundish three-dimensional model;
acquiring a first preset number of preset bottom blowing argon parameters, wherein the first preset number is not less than two;
performing simulation calculation according to the first parameters and each preset bottom argon blowing parameter to obtain a second file;
performing visualization and animation processing on the second file to obtain a temperature cloud chart and a flow trace chart of a water outlet longitudinal section of the tundish three-dimensional model;
judging whether the number of the preset bottom argon blowing parameters which are subjected to the simulation calculation reaches the first preset number or not;
and if the number of the preset bottom-blown argon parameters after the simulation calculation reaches the preset number, determining target bottom-blown argon parameters from each temperature cloud chart and each corresponding streamline chart according to a preset rule, and otherwise, executing the step of acquiring the preset bottom-blown argon parameters of the first preset number.
Optionally, the first parameters include a simulation model, boundary conditions, material physical property parameters, and a solution method;
the obtaining of the first parameter according to the first file, the tundish mathematical model and the molten steel attribute information of the molten steel in the tundish comprises:
determining the simulation model and the flow characteristics according to the mathematical model of the tundish and the attribute information of the molten steel in the tundish, wherein the simulation model comprises a multi-phase flow model, a standard turbulence model, an energy model and a discrete phase model, and the flowing process of the molten steel is unsteady incompressible flow;
determining the boundary conditions according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish, wherein the boundary conditions comprise wall boundary conditions, inlet boundary conditions and outlet boundary conditions, the wall boundary conditions comprise the tundish wall heat dissipation condition of a second type, the wall surface which is not the tundish top surface is a non-slip wall boundary condition, the inlet boundary condition is a speed inlet, and the outlet boundary condition is a pressure outlet;
determining the physical property parameters of the materials according to the property information of molten steel in the tundish;
and determining the solving method to be a PISO algorithm according to the simulation model.
Optionally, the determining a target bottom-blown argon parameter from each of the temperature cloud charts and each of the flow line charts according to a preset rule includes:
acquiring the outlet temperature of the tundish in each temperature cloud chart, and judging whether the outlet temperature of each tundish reaches a preset temperature range;
judging whether each of the flow trace diagrams corresponding to the temperature cloud diagrams comprises a short-circuit flow;
if the outlet temperature of the tundish reaches a preset temperature range and no short-circuit current exists in the current trace diagram corresponding to the temperature cloud diagram reaching the preset temperature range, determining that the temperature cloud diagram is a first cloud diagram;
determining a first cloud picture with the largest cross-sectional area reaching a preset temperature range as a second cloud picture aiming at each first cloud picture;
and determining the preset bottom blowing argon parameter corresponding to the second cloud picture as a target bottom blowing argon parameter.
Optionally, the preset bottom-blown argon parameters include: argon blowing position, argon bubble diameter, gas flow rate range, gas mass flow and argon blowing time.
Optionally, the performing simulation calculation according to the first parameter and each preset bottom-blown argon parameter to obtain a second file includes:
acquiring a convergence residual value, a relaxation factor parameter and a calculation time parameter;
and performing simulation calculation according to the first parameter, each preset bottom blowing argon parameter, the convergence residual value and the relaxation factor parameter in the calculation time parameter to obtain the second file.
In a second aspect, the present invention further provides a plasma heating tundish bottom argon blowing parameter optimization apparatus, including: the device comprises a preprocessing module, a simulation module, a post-processing module, a judgment module and an analysis module;
the preprocessing module is used for acquiring the actual size of the tundish, constructing a tundish three-dimensional model in an equal proportion according to the actual size of the tundish, and performing mesh division to obtain a first file;
the simulation module is used for obtaining a first parameter according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish sent by the preprocessing module, obtaining a first preset number of preset bottom blowing argon parameters, and performing simulation calculation according to the first parameter and each preset bottom blowing argon parameter to obtain a second file, wherein the tundish mathematical model is used for representing the flow process of the tundish and the molten steel and argon in the tundish, the first parameter is used for simulating the tundish three-dimensional model, and the first preset number is not less than two;
the post-processing module is used for carrying out visualization and animation processing on the second file sent by the simulation module so as to obtain a temperature cloud picture and a flow trace picture of a water outlet longitudinal section of the tundish three-dimensional model;
the judging module is used for judging whether the number of the preset bottom argon blowing parameters which are subjected to simulation calculation in the simulation module reaches the first preset number or not;
and the analysis module is used for determining a target bottom argon blowing parameter from each temperature cloud chart and each corresponding flow trace chart according to a preset rule when the judgment module determines that the number of the preset bottom argon blowing parameters completing the simulation calculation reaches the preset number, or else, executing the acquisition of the first preset number of preset bottom argon blowing parameters.
Optionally, the first parameters include a simulation model, boundary conditions, material physical property parameters, and a solution method;
the simulation module is further configured to perform the following operations:
determining the simulation model and the flow characteristics according to the mathematical model of the tundish and the attribute information of the molten steel in the tundish, wherein the simulation model comprises a multi-phase flow model, a standard turbulence model, an energy model and a discrete phase model, and the flowing process of the molten steel is unsteady incompressible flow;
determining the boundary conditions according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish, wherein the boundary conditions comprise wall boundary conditions, inlet boundary conditions and outlet boundary conditions, the wall boundary conditions comprise the tundish wall heat dissipation condition of a second type, the wall surface which is not the tundish top surface is a non-slip wall boundary condition, the inlet boundary condition is a speed inlet, and the outlet boundary condition is a pressure outlet;
determining the physical property parameters of the materials according to the property information of molten steel in the tundish;
and determining that the solving method is a PISO algorithm according to the simulation model.
Optionally, the analysis module is further configured to perform the following operations:
acquiring the outlet temperature of the tundish in each temperature cloud chart, and judging whether the outlet temperature of each tundish reaches a preset temperature range;
judging whether each of the flow trace diagrams corresponding to the temperature cloud diagrams comprises a short-circuit flow;
if the outlet temperature of the tundish reaches a preset temperature range and no short-circuit current exists in the current trace diagram corresponding to the temperature cloud diagram reaching the preset temperature range, determining that the temperature cloud diagram is a first cloud diagram;
determining a first cloud picture with the largest cross-sectional area reaching a preset temperature range as a second cloud picture aiming at each first cloud picture;
and determining the preset bottom blowing argon parameter corresponding to the second cloud picture as a target bottom blowing argon parameter.
In a third aspect, the present invention further provides an apparatus for optimizing parameters of argon blowing at the bottom of a tundish, comprising: at least one memory and at least one processor;
the at least one memory to store a machine readable program;
the at least one processor is configured to invoke the machine readable program to execute the method for optimizing argon blowing parameters for a plasma heating tundish provided in the first aspect or any possible implementation manner of the first aspect.
In a fourth aspect, the present invention further provides a computer readable medium, on which computer instructions are stored, and when executed by a processor, the computer instructions cause the processor to execute the method for optimizing argon blowing parameters of a plasma heating tundish provided in the first aspect or any possible implementation manner of the first aspect.
According to the method and the device for optimizing the bottom blowing argon parameters of the plasma heating tundish, provided by the embodiment of the invention, the tundish three-dimensional model is constructed in an equal proportion according to the actual size of the tundish, and the flowing process of molten steel and argon in the tundish is simulated based on the tundish three-dimensional model, so that the optimal bottom blowing argon parameters suitable for plasma heating of the tundish are obtained. Through simulating and comparing different bottom argon blowing parameters, temperature cloud charts and flow trace charts under different bottom argon blowing parameters are obtained, the tundish plasma heating effect under different bottom argon blowing parameters can be vividly and visually reflected, the optimal bottom argon blowing parameter is further determined, the flowing state of molten steel in the tundish is improved, the molten steel temperature in the tundish is uniform, and the plasma heating effect is improved. Therefore, the method is scientific and reliable, has strong operability, saves experiment expenses and experiment time, and improves the uniformity of temperature distribution in the tundish.
Drawings
FIG. 1 is a method for optimizing parameters of argon blowing at the bottom of a plasma heating tundish, according to an embodiment of the present invention;
FIG. 2 is another method for optimizing parameters of argon blowing to the bottom of a plasma heating tundish, according to an embodiment of the present invention;
FIG. 3 is a schematic cross-sectional view of a plasma heated tundish bottom argon blowing model provided by an embodiment of the present invention;
FIG. 4 is a temperature cloud chart of a longitudinal section of a tundish water outlet under a preset bottom blowing argon parameter b provided by the embodiment of the invention;
FIG. 5 is a flow chart of a longitudinal section of a tundish nozzle under a preset bottom blowing argon parameter b according to an embodiment of the invention;
FIG. 6 is a temperature cloud chart of a longitudinal section of a tundish water outlet under a preset bottom blowing argon parameter c provided by the embodiment of the invention;
FIG. 7 is a flow chart of a longitudinal section of a tundish nozzle under a preset bottom blowing argon parameter c according to an embodiment of the invention;
FIG. 8 is a schematic diagram of an apparatus for optimizing parameters of argon blowing to a bottom of a plasma heating tundish, according to an embodiment of the present invention;
fig. 9 is a schematic diagram of an argon parameter optimization device for a plasma heating tundish bottom blowing according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
As shown in fig. 1, a method for optimizing argon blowing parameters of a plasma heating tundish bottom provided by an embodiment of the present invention includes the following steps:
step 101: acquiring the actual size of a tundish, constructing a tundish three-dimensional model in equal proportion according to the actual size of the tundish, and performing mesh division to obtain a first file;
step 102: obtaining a first parameter according to a first file, a tundish mathematical model and molten steel attribute information in a tundish, wherein the tundish mathematical model is used for representing a tundish and a flowing process of liquid and argon in the tundish, and the first parameter is used for simulating a tundish three-dimensional model;
step 103: acquiring a first preset number of preset bottom blowing argon parameters, wherein the first preset number is not less than two;
step 104: performing simulation calculation according to the first parameters and each preset bottom argon blowing parameter to obtain a second file;
step 105: performing visualization and animation processing on the second file to obtain a temperature cloud picture and a flow trace picture of a water outlet longitudinal section of the tundish three-dimensional model;
step 106: judging whether the number of the preset bottom blowing argon parameters after the simulation calculation reaches a first preset number or not;
step 107: and if the number of the preset bottom-blown argon parameters after the simulation calculation reaches a preset number, determining target bottom-blown argon parameters from each temperature cloud chart and each corresponding flow trace chart according to a preset rule, and otherwise, acquiring the preset bottom-blown argon parameters of the first preset number.
In the embodiment of the invention, the method constructs the tundish three-dimensional model according to the actual size of the tundish in equal proportion, and simulates the flowing process of molten steel and argon in the tundish based on the tundish three-dimensional model to obtain the optimal bottom blowing argon parameter suitable for the plasma heating of the tundish. Through simulating and comparing different bottom argon blowing parameters, temperature cloud charts and flow trace charts under different bottom argon blowing parameters are obtained, the tundish plasma heating effect under different bottom argon blowing parameters can be vividly and visually reflected, the optimal bottom argon blowing parameter is further determined, the flowing state of molten steel in the tundish is improved, the molten steel temperature in the tundish is uniform, and the plasma heating effect is improved. Therefore, the method is scientific and reliable, has strong operability, saves experiment expenses and experiment time, and improves the uniformity of temperature distribution in the tundish.
In the embodiment of the invention, the tundish three-dimensional model is constructed in equal proportion and is grid-connected according to the acquired actual size of the tundish, so that the simulation of the actual flow process in the tundish is facilitated, wherein the grid can be divided by adopting hexahedral grids, the grid quality can be improved, the unit number can be reduced, and the simulation calculation can be more accurate and convergent. Meanwhile, the grids in the distributed area of the three-dimensional model of the tundish are encrypted, so that the grid torsion degree near the boundary can be reduced, and the overlarge calculation error is avoided.
Optionally, in the method for optimizing argon blowing from the bottom of the plasma heating tundish shown in fig. 1, in step 102, the first parameter includes a simulation model, a boundary condition, a material property parameter, and a solving method, and the first parameter is obtained according to the first file, the mathematical model of the tundish, and the property information of the molten steel in the tundish, and includes:
determining a simulation model according to a tundish mathematical model and molten steel attribute information in a tundish, wherein the simulation model comprises a multiphase flow model, a standard turbulence model, an energy model and a discrete phase model, and the molten steel flow process is unsteady incompressible flow;
determining boundary conditions according to the first file, a tundish mathematical model and molten steel attribute information in the tundish, wherein the boundary conditions comprise wall boundary conditions, inlet boundary conditions and outlet boundary conditions, the wall boundary conditions comprise the second type of wall boundary conditions for tundish wall heat dissipation, the non-tundish top wall boundary conditions, the inlet boundary conditions are speed inlets, and the outlet boundary conditions are pressure outlets;
determining material physical property parameters according to molten steel attribute information in the tundish;
and determining a solving method to be a PISO algorithm according to the simulation model.
In the embodiment of the invention, a simulation model, boundary conditions, material physical property parameters and a solving method are determined according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish, so that the actual fluid flowing process in the tundish is simulated and calculated. According to the property information of the high-temperature molten steel in the tundish: the molten steel is incompressible liquid, and the flow process of the simulated fluid is determined to be unsteady incompressible flow; according to the tundish mathematical model and the molten steel attribute information in the tundish, a multiphase flow model, a turbulence model, an energy model and a discrete phase model are determined, namely, a simulation model is determined according to the actual flowing process of the high-temperature molten steel in the tundish, so that the simulation calculation is closer to the actual application scene, the optimization accuracy is improved, and the accuracy of the optimal bottom blowing argon parameter is improved.
In the embodiment of the invention, the wall surface boundary conditions are determined according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish, wherein the wall surface heat dissipation of the tundish is the second type of wall surface boundary conditions, the wall surface which is not the top surface of the tundish is the non-slip wall surface boundary conditions, the inlet boundary conditions are speed inlets, and the outlet boundary conditions are pressure outlets. Different fluid media have different physical properties, and the boundary conditions belong to definite solution conditions, so that the definite solution in the simulation calculation process can be ensured, a speed inlet and a pressure outlet are set according to the incompressibility of the molten steel in the tundish, the easy convergence of the simulation calculation process is further ensured, the grid torsion resistance near the boundary is reduced, the precision of the whole optimization process is improved, and the precision of the determined optimal bottom blowing argon parameter of the plasma heating tundish is improved.
In the embodiment of the invention, the molten steel attribute information in the tundish comprises the flow rate of the molten steel in the tundish, and the speed inlet and the pressure outlet can be determined according to the section size of the three-dimensional model of the tundish and the flow rate of the molten steel. And determining a plasma heating point as simple point heating according to the tundish three-dimensional model, and determining the heat flow density according to the plasma heating power.
In the embodiment of the invention, material physical parameters are determined according to the property information of the molten steel in the tundish, wherein the material physical parameters can comprise the density, specific heat, thermal conductivity and viscosity of the molten steel in the tundish, and the flowing process of the molten steel in the tundish can be accurately simulated and calculated according to the material physical parameters.
In the embodiment of the invention, the PISO algorithm is adopted, and the solution is based on the coupling of pressure and speed, so that the requirements of each determined simulation model are met, the solution of an equation is more stable due to the matrix characteristic of the algorithm, the convergence is achieved with less iterative steps, and the efficiency of determining the optimal bottom blowing argon parameter of the plasma heating tundish can be improved.
Optionally, in the method for optimizing parameters of bottom-blown argon of a tundish shown in fig. 1, determining target parameters of bottom-blown argon from each temperature cloud graph and each flow trace graph in step 107 according to preset rules includes:
acquiring the outlet temperature of the tundish in each temperature cloud chart, and judging whether the outlet temperature of each tundish reaches a preset temperature range;
judging whether each flow trace diagram corresponding to the temperature cloud diagram comprises a short-circuit flow;
if the outlet temperature of the tundish reaches a preset temperature range and no short-circuit current exists in a flow trace diagram corresponding to the temperature cloud chart reaching the preset temperature range, determining that the temperature cloud chart is a first cloud chart;
determining a first cloud picture with the largest cross-sectional area reaching a preset temperature range as a second cloud picture aiming at each first cloud picture;
and determining the preset bottom blowing argon parameter corresponding to the second cloud picture as a target bottom blowing argon parameter.
Specifically, temperature cloud charts and flow line charts obtained by different bottom blowing argon parameters are obtained, when the outlet temperature of a tundish in the temperature cloud charts reaches a preset temperature range, and the flow line charts corresponding to the temperature cloud charts have no short-circuit flow and small dead zones, the section area reaching the preset temperature range in the temperature cloud charts is determined, and the bottom blowing argon parameter corresponding to the temperature cloud chart with the largest section area is determined as the optimal bottom blowing argon parameter (target bottom blowing argon parameter).
In the embodiment of the invention, the temperature cloud chart can reflect the temperature change of the molten steel at each position in the tundish, the outlet temperature of the tundish can be determined, and the uniformity of a molten steel temperature field in the tundish can be reflected through the temperature change at each position; the flow trace diagram can show the flow trace of molten steel at each position in the tundish, and the heat transfer effect can be determined. Therefore, the heating effect of different bottom blowing argon parameters on the tundish can be determined according to the temperature cloud chart and the flow trace chart, so that the optimal bottom blowing argon parameter can be visually determined, and the uniformity of the whole temperature field in the tundish is improved.
Optionally, in the method for optimizing the parameters of bottom-blown argon of the tundish shown in fig. 1, the presetting of the parameters of bottom-blown argon in step 103 includes: argon blowing position, argon bubble diameter, gas flow rate range, gas mass flow and argon blowing time.
In the embodiment of the invention, the preset bottom blowing argon parameter is used for simulating the actual motion process of the argon bubble, wherein the motion track of the argon bubble adopts a discrete phase random orbit model.
Optionally, in the method for optimizing parameters of bottom-blown argon of a tundish shown in fig. 1, in step 104, a simulation calculation is performed according to the first parameter and each preset bottom-blown argon parameter, so as to obtain a second file, where the method includes:
acquiring a convergence residual value, a relaxation factor parameter and a calculation time parameter;
and performing simulation calculation according to the first parameter, each preset bottom blowing argon parameter, the convergence residual value and the relaxation factor parameter in the calculation time parameter to obtain a second file.
In the embodiment of the invention, the convergence residual value and the relaxation factor parameter are obtained, so that the accuracy of the simulation calculation result in the calculation time parameter can be ensured, and the convergence speed can be increased, thereby increasing the optimization speed and improving the efficiency of determining the optimal bottom blowing argon parameter of the plasma heating tundish.
In order to more clearly illustrate the technical solution and advantages of the present invention, as shown in fig. 2, the following detailed description of the method for optimizing argon blowing parameters of a plasma heating tundish bottom provided by the embodiment of the present invention specifically includes:
step 201: and constructing a tundish three-dimensional model in equal proportion, and performing mesh division to obtain a first file.
Specifically, the actual size of the tundish is obtained, a tundish three-dimensional model is constructed in an equal proportion according to the obtained actual size of the tundish, and meshing is carried out to obtain a first file.
For example, for a tundish in an a steel plant, a schematic cross-sectional view of the argon blowing model at the bottom of the plasma heating tundish is shown in fig. 3, and the actual size of the tundish is obtained, wherein the width of the top surface of the tundish is 1405 mm, the width of the bottom surface of the tundish is 857 mm, the length of the top surface of the tundish is 6621 mm, the length of the bottom surface of the tundish is 6073 mm, and the height of the tundish is 1555 mm. According to the actual size, an ICEM can be adopted to establish a three-dimensional model, a finite volume method is adopted to carry out discretization treatment on the tundish three-dimensional model, and hexahedral mesh division is used to encrypt a heating area, a molten steel inlet and outlet, a bottom blowing argon gas hole and a turbulence suppressor area.
Step 202: a simulation model is determined.
Specifically, a simulation model is determined according to a tundish mathematical model and molten steel property information in a tundish, wherein the simulation model comprises a multiphase flow model, a standard turbulence model, an energy model and a discrete phase model, and the molten steel flows in an unsteady incompressible mode.
For example, as described in the previous example, by using Fluent, the molten steel in the tundish is an incompressible fluid, and the simulation model is determined to include an unsteady incompressible flow model; determining a multi-phase flow model, a standard turbulence k-epsilon dual equation, an energy model and a discrete phase model according to the flow characteristics of high-temperature molten steel in the tundish and the flow between the molten steel and the argon bubbles, wherein the values of turbulence kinetic energy and turbulence dissipation rate in the turbulence model are 0.003996922 m2·s-2And 0.006590674 m2·s-3
Step 203: a boundary condition is determined.
Specifically, boundary conditions are determined according to the first file, a tundish mathematical model and molten steel attribute information in the tundish, wherein the boundary conditions comprise wall boundary conditions, inlet boundary conditions and outlet boundary conditions, the wall boundary conditions comprise the tundish wall heat dissipation condition of a second type, the wall surface of the non-tundish top surface is a non-slip wall boundary condition, the inlet boundary condition is a speed inlet, and the outlet boundary condition is a pressure outlet.
For example, as described in the previous example, the speed inlet and the pressure outlet are set according to the incompressibility of the molten steel in the tundish by using Fluent, and the speed inlet is set according to the incompressibility of the molten steel in the tundish by determining according to the physical properties of the molten steel and a mathematical model of the tundish. Determining inlet molten steel speed and plasma heating heat flux density according to the size of the tundish three-dimensional model and the molten steel flow, wherein the inlet molten steel speed is determined by the following formula:
Figure 750403DEST_PATH_IMAGE001
wherein the content of the first and second substances,uis used for representing the molten steel speed at the inlet of the tundish,Ais used for representing the section size of the casting blank,vis used for characterizing the drawing speed of the billet,rthe device is used for representing the inlet radius of the tundish;
for example, the casting slab cross-sectional size: the length is 0.7 m, the width is 0.21 m,Ais 0.147 m2(0.7×0.21=0.147),vIs 0.8 m.min-1rIs 0.045 m, then determineuIs 0.616 m.s-1
The heat flux density of the plasma heating point is determined by the following formula:
Figure 212608DEST_PATH_IMAGE002
wherein the content of the first and second substances,Ifor use in characterizing the density of the heat flow,Pis used for characterizing the heating power of the plasma,ηfor the purpose of characterizing the heating thermal efficiency,A 1is used for characterizing the bottom area of the heating area,A 2the area of the side of the heating area is characterized;
for example,Pis a high-performance liquid crystal material with the weight of 500000W,ηthe content of the active carbon is 60 percent,A 1is 0.00785 m2A 1Is 0.05495 m2Then determineIIs 4777070 W.m-2
Step 204: determining material physical property parameters and solving method.
Specifically, material physical property parameters are determined according to molten steel property information in the tundish, and a solving method is determined to be a PISO algorithm according to a simulation model.
For example, as described in the previous example, using Fluent, the physical property parameters of the molten steel are determined: the density of the molten steel is 7010 kg.m-3Viscosity of 0.0061 kg · m-1·s-1Thermal conductivity of 41 kg · m-1·k-1Specific heat 750 J.kg-1·k-1(ii) a The density of the argon gas was 1.6228 kg · m-3The viscosity was 0.0000212 kg · m-1·s-1The thermal conductivity is 0.0158 kg m-1·k-1Specific heat of 520.64 J.kg-1·k-1
Step 205: and acquiring a first preset quantity of preset bottom-blown argon parameters.
Specifically, at least two preset bottom-blown argon parameters are obtained, wherein the bottom-blown argon parameters include: argon blowing position, argon bubble diameter, gas flow rate range, gas mass flow and argon blowing time.
For example, as described in the previous example, 50 preset bottom-blown argon parameters are obtained by using Fluent, where the preset bottom-blown argon parameters b include: the diameter of the argon bubble is 2 mm-4 mm, and the gas flow rate is 0.04 m.s-1-0.06 m·s-1The gas mass flow range is 0.0002 kg · s-1-0.0003 kg·s-1The starting and stopping time of argon blowing is 0-300 s.
Step 206: a simulation calculation is performed to obtain a second file.
Specifically, a convergence residual value, a relaxation factor parameter and a calculation time parameter are obtained, and simulation calculation is performed according to the first parameter, each preset bottom-blown argon parameter, the convergence residual value and the relaxation factor parameter in the calculation time parameter to obtain a second file.
For example, as described in the previous example, using Fluent, the calculation region needs to be initialized before performing the solution calculation, the boundary conditions and the initial conditions are the premise that the control simulation calculation has a definite solution, and the flow velocity in the X, Y direction is 0 and the flow velocity in the Z direction is 0.616 m · s after initialization according to the inlet conditions-1Then obtaining the residual error of the continuity equation as 10-4X, Y and Z-direction velocity equation residual of 10-4The energy equation residual is 10-7The residual of the equation of turbulence energy and dissipation ratio is 10-4(ii) a Relaxation factor parameters: pressure 0.3, density 0.6, momentum 0.7, turbulent kinetic energy 0.5, turbulent dissipation ratio 0.5, turbulent viscosity 0.5 and discrete phase source 0.5, time parameters were calculated: calculating the time step length of 0.005s and the total steps of 60000, and performing simulation calculation on the transient simulation according to a PISO algorithm, namely completing the calculation when the time to be solved reaches 300s to obtain a second file.
Step 207: and visualizing and animating the second file to obtain a temperature cloud graph and a flow trace graph.
Specifically, the second file is visualized and animated to obtain a temperature cloud chart and a flow chart of the water outlet longitudinal section of the tundish three-dimensional model under each preset bottom blowing argon parameter.
For example, as described in the previous example, the second file is visualized and animated by using Tecplot to obtain a temperature cloud and a flow trace of a water outlet longitudinal section of the tundish three-dimensional model simulated by using the bottom-blown argon parameter.
Step 208: and judging whether the number of the preset bottom blowing argon parameters for completing the simulation calculation reaches a first preset number, if so, executing the step 209, otherwise, executing the step 205.
For example, as described in the previous example, it is determined whether the simulation calculation of 50 preset bottom-blown argon parameters is completed.
Step 209: and determining target bottom blowing argon parameters.
Specifically, the outlet temperature of the tundish in each temperature cloud picture is obtained, and whether the outlet temperature of each tundish reaches a preset temperature range is judged; judging whether each flow trace diagram corresponding to the temperature cloud diagram comprises a short-circuit flow; if the outlet temperature of the tundish reaches a preset temperature range, and the flow trace diagram corresponding to the temperature cloud diagram reaching the preset temperature range has no short-circuit flow and small dead zone, determining that the temperature cloud diagram is a first cloud diagram; determining a first cloud picture with the largest cross-sectional area reaching a preset temperature range as a second cloud picture aiming at each first cloud picture; and determining the preset bottom blowing argon parameter corresponding to the second cloud picture as a target bottom blowing argon parameter.
For example, as described in the previous example, 50 sets of temperature cloud charts and flow trace charts are obtained for 50 preset bottom-blown argon parameters for which simulation calculations have been completed. The temperature range of the preset outlet of the tundish is 1834-; c temperature cloud charts and flow line charts obtained by simulating the preset bottom blowing argon parameters are shown in fig. 6 and 7 respectively.
In the embodiment of the invention, compared with fig. 6, as shown in fig. 4, the temperature rise of the middle edge covering part area under the optimal bottom blowing argon parameter is obvious, and the whole temperature distribution of the pouring area of the tundish is more uniform. Compared with the figure 7, as shown in figure 5, argon gas blown from the bottom of the tundish under the optimal bottom argon blowing parameter obviously increases the flowing speed of molten steel at the edge part, accelerates the heat transfer generated by plasma heating, improves the regional flow field at the edge part of the tundish, reduces the dead zone in the tundish and has better integral flowing state of the molten steel in the pouring zone. In conclusion, the optimal bottom blowing argon parameter improves the uniformity of the temperature distribution in the plasma heating tundish and improves the plasma heating effect.
As shown in fig. 8 and 9, an embodiment of the present invention provides a plasma heating tundish bottom argon blowing parameter optimizing device (tundish bottom argon blowing parameter optimizing device for short). The device embodiments may be implemented by software, or by hardware, or by a combination of hardware and software. In terms of hardware, as shown in fig. 8, a hardware structure diagram of a device in which the apparatus for optimizing parameters of argon blowing from a tundish bottom provided in the embodiment of the present invention is located is shown, where in addition to the processor, the memory, the network interface, and the nonvolatile memory shown in fig. 8, the device in the embodiment may also include other hardware, such as a forwarding chip responsible for processing a packet, in general. Taking a software implementation as an example, as shown in fig. 9, as a logical apparatus, the apparatus is formed by reading a corresponding computer program instruction in a non-volatile memory into a memory by a CPU of a device in which the apparatus is located and running the computer program instruction. The argon parameter optimizing device is blown at bottom of pouring basket that this embodiment provided includes: a preprocessing module 901, a simulation module 902, a post-processing module 903, a judgment module 904 and an analysis module 905;
the preprocessing module 901 is configured to obtain an actual size of the tundish, construct a tundish three-dimensional model in an equal proportion according to the actual size of the tundish, and perform mesh division to obtain a first file;
the simulation module 902 is configured to obtain a first parameter according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish sent by the preprocessing module 901, obtain a first preset number of preset bottom-blown argon parameters, and perform simulation calculation according to the first parameter and each preset bottom-blown argon parameter to obtain a second file, where the tundish mathematical model is used to represent a flow process of the tundish and its internal liquid and argon gas, the first parameter is used to simulate a tundish three-dimensional model, and the first preset number is not less than two;
the post-processing module 903 is used for performing visualization and animation processing on the second file sent by the simulation module 902 to obtain a temperature cloud chart and a flow trace chart of the water outlet longitudinal section of the tundish three-dimensional model;
a judging module 904, configured to judge whether the number of preset bottom-blown argon parameters that have completed the simulation calculation in the simulation module 903 reaches a first preset number;
an analyzing module 905, configured to determine a target bottom-blown argon parameter from each temperature cloud graph and each corresponding trajectory graph according to a preset rule when the determining module 903 determines that the number of the preset bottom-blown argon parameters that have completed the simulation calculation reaches a preset number, and otherwise, execute obtaining of a first preset number of preset bottom-blown argon parameters.
In one embodiment of the invention, the first parameters include a simulation model, boundary conditions, material property parameters, and a solution method; the simulation module 903 is further configured to perform the following operations:
determining a simulation model according to a tundish mathematical model and molten steel attribute information in a tundish, wherein the simulation model comprises a multiphase flow model, a standard turbulence model, an energy model and a discrete phase model, and the molten steel flow process is unsteady incompressible flow;
determining boundary conditions according to the first file, a tundish mathematical model and molten steel attribute information in the tundish, wherein the boundary conditions comprise wall boundary conditions, inlet boundary conditions and outlet boundary conditions, the wall boundary conditions comprise the second type of wall boundary conditions for tundish wall heat dissipation, the non-tundish top wall boundary conditions, the inlet boundary conditions are speed inlets, and the outlet boundary conditions are pressure outlets;
determining material physical property parameters according to molten steel attribute information in the tundish;
and determining a solving method to be a PISO algorithm according to the simulation model.
In one embodiment of the present invention, the analysis module 905 is further configured to perform the following operations:
acquiring the outlet temperature of the tundish in each temperature cloud chart, and judging whether the outlet temperature of each tundish reaches a preset temperature range;
judging whether each flow trace diagram corresponding to the temperature cloud diagram comprises a short-circuit flow;
if the outlet temperature of the tundish reaches a preset temperature range and no short-circuit current exists in a flow trace diagram corresponding to the temperature cloud chart reaching the preset temperature range, determining that the temperature cloud chart is a first cloud chart;
determining a first cloud picture with the largest cross-sectional area reaching a preset temperature range as a second cloud picture aiming at each first cloud picture;
and determining the preset bottom blowing argon parameter corresponding to the second cloud picture as a target bottom blowing argon parameter.
In an embodiment of the present invention, the simulation module 902 is configured to obtain a first preset number of preset bottom-blown argon parameters, where the preset bottom-blown argon parameters include: argon blowing position, argon bubble diameter, gas flow rate range, gas mass flow and argon blowing time.
In an embodiment of the present invention, the analysis module 905 is configured to determine the target bottom-blown argon parameter from each temperature cloud and each flow trace according to a preset rule, and includes:
acquiring a convergence residual value, a relaxation factor parameter and a calculation time parameter;
and performing simulation calculation according to the first parameter, each preset bottom blowing argon parameter, the convergence residual value and the relaxation factor parameter in the calculation time parameter to obtain a second file.
It is understood that the structure illustrated in the embodiment of the invention does not constitute a specific limitation on the device for optimizing the parameters of the argon blowing at the bottom of the tundish. In other embodiments of the invention, the tundish bottom blowing argon parameter optimization device may include more or fewer components than shown, or some components may be combined, some components may be split, or a different arrangement of components. The illustrated components may be implemented in hardware, software, or a combination of software and hardware.
Because the content of information interaction, execution process, and the like among the modules in the device is based on the same concept as the method embodiment of the present invention, specific content can be referred to the description in the method embodiment of the present invention, and is not described herein again.
The embodiment of the invention also provides a tundish bottom argon blowing parameter optimization device, which comprises: at least one memory area and at least one processor;
the at least one memory to store a machine readable program;
the at least one processor is configured to invoke the machine readable program to perform the method for optimizing parameters of argon bottom blowing in a plasma heating tundish according to any embodiment of the present invention.
An embodiment of the present invention further provides a computer readable medium, where the computer readable medium stores computer instructions, and when the computer instructions are executed by a processor, the processor is caused to execute the method for optimizing argon blowing parameters of a plasma heating tundish bottom in any embodiment of the present invention.
Specifically, a system or an apparatus equipped with a storage medium on which software program codes that realize the functions of any of the above-described embodiments are stored may be provided, and a computer (or a CPU or MPU) of the system or the apparatus is caused to read out and execute the program codes stored in the storage medium.
In this case, the program code itself read from the storage medium can realize the functions of any of the above-described embodiments, and thus the program code and the storage medium storing the program code constitute a part of the present invention.
Examples of the storage medium for supplying the program code include a floppy disk, a hard disk, a magneto-optical disk, an optical disk (e.g., CD-ROM, CD-R, CD-RW, DVD-ROM, DVD-RAM, DVD-RW, DVD + RW), a magnetic tape, a nonvolatile memory card, and a ROM. Alternatively, the program code may be downloaded from a server computer via a communications network.
Further, it should be clear that the functions of any one of the above-described embodiments may be implemented not only by executing the program code read out by the computer, but also by causing an operating system or the like operating on the computer to perform a part or all of the actual operations based on instructions of the program code.
Further, it is to be understood that the program code read out from the storage medium is written to a memory provided in an expansion board inserted into the computer or to a memory provided in an expansion module connected to the computer, and then causes a CPU or the like mounted on the expansion board or the expansion module to perform part or all of the actual operations based on instructions of the program code, thereby realizing the functions of any of the above-described embodiments.
It is noted that, herein, relational terms such as first and second, and the like may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising a" does not exclude the presence of other similar elements in a process, method, article, or apparatus that comprises the element.
Those of ordinary skill in the art will understand that: all or part of the steps for realizing the method embodiments can be completed by hardware related to program instructions, the program can be stored in a computer readable storage medium, and the program executes the steps comprising the method embodiments when executed; and the aforementioned storage medium includes: various media that can store program codes, such as ROM, RAM, magnetic or optical disks.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (7)

1. The method for optimizing the argon blowing parameter at the bottom of the plasma heating tundish is characterized by comprising the following steps:
acquiring the actual size of a plasma heating tundish, constructing a tundish three-dimensional model in equal proportion according to the actual size of the tundish, and performing mesh division to obtain a first file;
obtaining a first parameter according to the first file, a tundish mathematical model and molten steel attribute information in a tundish, wherein the tundish mathematical model is used for representing a tundish and a molten steel heating and argon flowing process in the tundish, and the first parameter is used for simulating a tundish three-dimensional model;
acquiring a first preset number of preset bottom blowing argon parameters, wherein the first preset number is not less than two;
performing simulation calculation according to the first parameters and each preset bottom argon blowing parameter to obtain a second file;
performing visualization and animation processing on the second file to obtain a temperature cloud chart and a flow trace chart of a water outlet longitudinal section of the tundish three-dimensional model;
judging whether the number of the preset bottom argon blowing parameters which are subjected to the simulation calculation reaches the first preset number or not;
if the number of the preset bottom-blown argon parameters which are subjected to the simulation calculation reaches the preset number, determining target bottom-blown argon parameters from each temperature cloud chart and each corresponding streamline chart according to a preset rule, and otherwise, executing the step of obtaining the first preset number of preset bottom-blown argon parameters;
determining a target bottom-blown argon parameter from each temperature cloud chart and each flow line chart according to a preset rule, wherein the determining comprises the following steps:
acquiring the outlet temperature of the tundish in each temperature cloud chart, and judging whether the outlet temperature of each tundish reaches a preset temperature range;
judging whether each of the flow trace diagrams corresponding to the temperature cloud diagrams comprises a short-circuit flow;
if the outlet temperature of the tundish reaches a preset temperature range and no short-circuit current exists in the current trace diagram corresponding to the temperature cloud diagram reaching the preset temperature range, determining that the temperature cloud diagram is a first cloud diagram;
determining a first cloud picture with the largest cross-sectional area reaching a preset temperature range as a second cloud picture aiming at each first cloud picture;
determining a preset bottom blowing argon parameter corresponding to the second cloud picture as a target bottom blowing argon parameter;
the preset bottom argon blowing parameters comprise: argon blowing position, argon bubble diameter, gas flow rate range, gas mass flow and argon blowing time;
the motion trajectory of the argon bubble is simulated using a discrete phase stochastic orbit model.
2. The method of claim 1, wherein the first parameters comprise a simulation model, boundary conditions, material physical parameters, and a solution method;
the obtaining of the first parameter according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish comprises:
determining the simulation model and the flow characteristics according to the mathematical model of the tundish and the attribute information of the molten steel in the tundish, wherein the simulation model comprises a multi-phase flow model, a standard turbulence model, an energy model and a discrete phase model, and the flowing process of the molten steel is unsteady incompressible flow;
determining the boundary conditions according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish, wherein the boundary conditions comprise wall boundary conditions, inlet boundary conditions and outlet boundary conditions, the wall boundary conditions comprise the tundish wall heat dissipation condition of a second type, the wall surface which is not the tundish top surface is a non-slip wall boundary condition, the inlet boundary condition is a speed inlet, and the outlet boundary condition is a pressure outlet;
determining the physical property parameters of the materials according to the property information of molten steel in the tundish;
and determining that the solving method is a PISO algorithm according to the simulation model.
3. The method for optimizing the bottom-blown argon parameter of the plasma heating tundish according to claim 1, wherein the step of performing simulation calculation according to the first parameter and each preset bottom-blown argon parameter to obtain a second file comprises the steps of:
acquiring a convergence residual value, a relaxation factor parameter and a calculation time parameter;
and performing simulation calculation according to the first parameter, each preset bottom blowing argon parameter, the convergence residual value and the relaxation factor parameter in the calculation time parameter to obtain the second file.
4. Argon parameter optimization device is blown at bottom of package in middle of plasma heating, its characterized in that includes: the device comprises a preprocessing module, a simulation module, a post-processing module, a judgment module and an analysis module;
the preprocessing module is used for acquiring the actual size of the tundish, constructing a tundish three-dimensional model in an equal proportion according to the actual size of the tundish, and performing mesh division to obtain a first file;
the simulation module is used for obtaining a first parameter according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish sent by the preprocessing module, obtaining a first preset number of preset bottom blowing argon parameters, and performing simulation calculation according to the first parameter and each preset bottom blowing argon parameter to obtain a second file, wherein the tundish mathematical model is used for representing the flow process of the tundish and the molten steel and argon in the tundish, the first parameter is used for simulating the tundish three-dimensional model, and the first preset number is not less than two;
the post-processing module is used for carrying out visualization and animation processing on the second file sent by the simulation module so as to obtain a temperature cloud picture and a flow trace picture of a water outlet longitudinal section of the tundish three-dimensional model;
the judging module is used for judging whether the number of the preset bottom argon blowing parameters which are subjected to simulation calculation in the simulation module reaches the first preset number or not;
the analysis module is used for determining a target bottom-blown argon parameter from each temperature cloud chart and each corresponding flow trace chart according to a preset rule when the judgment module determines that the number of the preset bottom-blown argon parameters completing the simulation calculation reaches the preset number, or else, executing the acquisition of the first preset number of preset bottom-blown argon parameters;
the analysis module is further configured to perform the following operations:
acquiring the outlet temperature of the tundish in each temperature cloud chart, and judging whether the outlet temperature of each tundish reaches a preset temperature range;
judging whether each of the flow trace diagrams corresponding to the temperature cloud diagrams comprises a short-circuit flow;
if the outlet temperature of the tundish reaches a preset temperature range and no short-circuit current exists in the current trace diagram corresponding to the temperature cloud diagram reaching the preset temperature range, determining that the temperature cloud diagram is a first cloud diagram;
determining a first cloud picture with the largest cross-sectional area reaching a preset temperature range as a second cloud picture aiming at each first cloud picture;
determining a preset bottom blowing argon parameter corresponding to the second cloud picture as a target bottom blowing argon parameter;
the preset bottom argon blowing parameters comprise: argon blowing position, argon bubble diameter, gas flow rate range, gas mass flow and argon blowing time;
the motion trajectory of the argon bubble is simulated using a discrete phase stochastic orbit model.
5. The plasma heating tundish bottom argon blowing parameter optimization device according to claim 4, wherein the first parameters comprise a simulation model, boundary conditions, material physical property parameters and a solving method;
the simulation module is further configured to perform the following operations:
determining the simulation model and the flow characteristics according to the mathematical model of the tundish and the property information of the molten steel in the tundish, wherein the simulation model comprises a multi-phase flow model, a standard turbulence model, an energy model and a discrete phase model, and the flowing process of the molten steel is unsteady incompressible flow;
determining the boundary conditions according to the first file, the tundish mathematical model and the molten steel attribute information in the tundish, wherein the boundary conditions comprise wall boundary conditions, inlet boundary conditions and outlet boundary conditions, the wall boundary conditions comprise the tundish wall heat dissipation condition as a second type of wall boundary condition, the wall surface which is not the tundish top surface is a non-slip wall boundary condition, the inlet boundary condition is a speed inlet, and the outlet boundary condition is a pressure outlet;
determining the physical property parameters of the materials according to the property information of molten steel in the tundish;
and determining that the solving method is a PISO algorithm according to the simulation model.
6. Argon parameter optimization device is blown at bottom of middle package, its characterized in that includes: at least one memory and at least one processor;
the at least one memory to store a machine readable program;
the at least one processor is configured to invoke the machine readable program to perform the method for optimizing argon parameters for a plasma heating tundish bottom blowing according to any one of claims 1 to 3.
7. A computer readable medium having stored thereon computer instructions which, when executed by a processor, cause the processor to perform the method of optimizing argon parameters for plasma heating a tundish bottom blowing according to any one of claims 1 to 3.
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