CN109530648A - A kind of method of crystallizer slag interface fluctuation in prediction continuous casting - Google Patents

A kind of method of crystallizer slag interface fluctuation in prediction continuous casting Download PDF

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CN109530648A
CN109530648A CN201910078981.4A CN201910078981A CN109530648A CN 109530648 A CN109530648 A CN 109530648A CN 201910078981 A CN201910078981 A CN 201910078981A CN 109530648 A CN109530648 A CN 109530648A
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crystallizer
model
boundary condition
slag interface
continuous casting
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罗森
郭壮群
张文杰
王卫领
朱苗勇
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Northeastern University China
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Northeastern University China
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B22CASTING; POWDER METALLURGY
    • B22DCASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
    • B22D11/00Continuous casting of metals, i.e. casting in indefinite lengths
    • B22D11/16Controlling or regulating processes or operations
    • B22D11/18Controlling or regulating processes or operations for pouring
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06COMPUTING; CALCULATING OR COUNTING
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    • G06F30/20Design optimisation, verification or simulation

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Abstract

The present invention provides a kind of method for predicting crystallizer slag interface fluctuation in continuous casting, is related to metal casting technique field.This method is first according to steel mill's continuous casting installation for casting process, crystallizer 3-D geometric model is established with modeling software, gridding is carried out to model, formulates model boundary condition, export .msh file, and it is conducted into fluid calculation software and carries out simulation calculating, extract the data in crystallizer slag interface position, shape and neighbouring flow field, and in the poster processing soft, the liquid fluctuating height rectangular coordinate system scattergram of slab median plane radial distance corresponding thereto is established, judges that slag interface fluctuates situation accordingly;Finally adjustment slab mouth of a river insertion depth and mouth of a river shape again predict slag interface fluctuation situation.The method that crystallizer slag interface fluctuates in prediction continuous casting provided by the invention, it can be determined that slab Flow Field Distribution and slag interface in continuous casting process fluctuate behavior, to improve slab quality.

Description

A kind of method of crystallizer slag interface fluctuation in prediction continuous casting
Technical field
The present invention relates to crystallizer slag interface waves in metal casting technique field more particularly to a kind of prediction continuous casting Dynamic method.
Background technique
It is higher and higher to the performance requirement of steel products with the increasingly fierceness of rapid development of economy and market competition, Therefore, to continuous casting production process, more stringent requirements are proposed.The factors such as cleanliness, surface defect and the internal flaw of slab are to production The quality problems of product serve vital, and crystallizer operation exactly controls the last ring that these factors reach required standard Section.Therefore, while guaranteeing conticaster production efficiency, the slab of high-quality is obtained, has become the pass for restricting high-quality steel Key step.
In continuous casting production process, there is the quality of continuous casting billet highly important steel slag liquid fluctuating situation in crystallizer It influences.The flow behavior of Mold not only influences the heat transfer of Mold and the floating of field trash, but also with The surfaces such as slab crackle, segregation and internal soundness have close relationship, and reasonable crystallizer molten steel flow field is rolled up to molten steel is reduced The defects of slag, bubble, crackle, improves slab quality, there is good facilitation.Therefore study and control the steel in crystallizer Raising steel product quality is significant in turn for improving cc billet surface quality for slag interface fluctuation.
If slag interface fluctuation is excessive in crystallizer, covering slag is easy to cause to be involved in molten steel, causes dew steel phenomenon, and And casting billet surface can be brought to be mingled with and subsurface inclusion, seriously affect slab quality.If slag interface fluctuation is excessively in crystallizer Calmness then will lead to molten steel at meniscus and update slowly, the phenomenon that being unfavorable for the fusing of covering slag, lead to insufficient lubrication.
Summary of the invention
The technical problem to be solved by the present invention is in view of the above shortcomings of the prior art, provide in a kind of prediction continuous casting The method of crystallizer slag interface fluctuation improves Flow Field Distribution and slag interface fluctuation in continuous casting process, to improve slab matter Amount.
In order to solve the above technical problems, the technical solution used in the present invention is: a kind of crystallizer in prediction continuous casting The method of slag interface fluctuation, comprising the following steps:
Step 1, according to steel mill's continuous casting installation for casting process, establish crystallizer three-dimensional geometry mould with Gambit modeling software Type, and gridding is carried out to model, formulates model boundary condition, then export .msh file;The boundary condition includes entrance Boundary condition, export boundary condition, model top surface boundary condition and crystallizer wall surface and mouth of a river wall boundary condition;
Step 2 will carry out simulation calculating in the importing fluid calculation software of .msh file derived from step 1, method particularly includes:
Step 2.1, grid import and processing: the .msh file saved in read step 1 checks grid, guarantees grid most Net region size is arranged less than 0 in small size;
Step 2.2, setting physical model and material: negative for Y-axis according to the type of actual setting solver, acceleration of gravity Direction, select turbulence model and multiphase flow model for computation model, setting material be fluid, be arranged slag interface surface tension;
Step 2.3, setting operating environment and boundary condition;
The setting boundary condition method particularly includes:
The entrance boundary condition includes inlet velocity vinlet, tubulence energy k and tubulence energy dissipative shock wave ε, respectively according to formula (1)-(3) it obtains:
Wherein, vcastFor drawing speed, SoutFor mold exit area of section, SinFor submersed nozzle inlet section face Product;
Wherein, RnozFor nozzle inlet radius;
The model top surface is set as free surface, and the velocity component and every other each variable perpendicular to liquid level are along level surface method The gradient in line direction is set as zero, meets formula (4):
Wherein, v is the velocity magnitude of model Free Surface x and the direction z, h=CpTinFor molten steel sensible heat, CpFor specific heat, Tin For inlet temperature, u is throwing direction speed;
Using the interface between VOF model following phase for multiphase flow model is the volume by solving a phase or multiphase The continuity equation of ratio is completed;To q phase, the multiphase flow conservation of mass is controlled by following formula:
Wherein, SaqFor quality source item, αqFor q phase volume fraction, ρqFor q phase density, t is the time;In default scenario Lower formula (5) right end source item is zero, but when to each phase specified constant or user-defined Mass Sources, then right end is not zero;
The export boundary condition needs the condition met are as follows: sufficiently development, i.e., each physical quantity edge are flowed at mold exit The normal derivative in the section is zero;
For the crystallizer wall boundary condition at crystallizer wall surface, the velocity component perpendicular to wall surface is zero, and parallel In wall surface component using no slip boundary condition, meet formula (6):
Voutlet=Vcast, Vwall=kwall=0 (6)
Wherein, Voutlet is muzzle velocity, and Vcast is pulling rate, and Vwall is crystallizer wall face velocity, and kwall is crystallization Wall face tubulence energy;
Step 2.4, setting method for solving and control parameter;
Step 2.5, setting monitor window and initialization;When initialization, set in range at top liquid level 15mm For steel slag, other regions are defaulted as molten steel;
Step 2.6, setting iterative steps and time step, carry out parametric solution;
Shown in the restrictive condition of the time step such as formula (7):
Courant=u Δ t/ Δ x (7)
Wherein, u is fluid velocity, and Δ t is time step, and Δ x is size of mesh opening, and Courant is Krona spy number, is indicated A fluid particle can pass through how many a grids in a time step;As Krona spy number < 1, calculates and stablize, but when Between step-length it is small, calculate overlong time;As 1 < Kronas of spy number < 5, computational stability still seldom occurs calculating diverging very well; When Krona spy number > 10, calculating is interrupted it is easy to appear diverging;Therefore, suitable time step is selected in Krona spy number assistance;
The parameter for finally solving acquisition includes the entrance velocity vinlet, tubulence energy k, tubulence energy dissipative shock wave ε and time step Long Δ t;
Step 3, simulation extract data after calculating;In fluid calculation software extract crystallizer slag interface position, Shape and the data in neighbouring flow field, and in the poster processing soft Tecplot, establish slab median plane radial distance corresponding thereto The liquid fluctuating height rectangular coordinate system scattergram answered;
Step 4 analyzes post-processing result: the rectangular coordinate system scattergram obtained according to step 3 judges steel Slag interface fluctuation situation;
Step 5, adjustment slab mouth of a river insertion depth and mouth of a river shape re-execute the steps 1-4 and fluctuate feelings to slag interface Condition is predicted, and is compared and analyzed to the slag interface fluctuation behavior of adjustment front and back.
The beneficial effects of adopting the technical scheme are that being tied in a kind of prediction continuous casting provided by the invention The method of brilliant device slag interface fluctuation, combined by modeling software Gambit and fluid calculation software, is being built to molten steel Flowing is simulated in 3-D geometric model, extracted after having been calculated crystallizer slag interface position, shape and neighbouring flow field into Row analysis can predict that crystallizer slag interface fluctuates situation, judge whether phenomena such as will appear dew coil of strip slag.Through the invention The slag interface that prediction technique obtains fluctuates situation, it can be determined that slab Flow Field Distribution and slag interface fluctuation in continuous casting process Behavior, to improve slab quality.Meanwhile being conducive in continuous casting process apart from each spot speed ladder in meniscus sustained height face center Degree is in a certain range of permission;Velocity gradient is not much different available more stable molten steel face, can preferably prevent The generation of slag inhibits the generation of the subcutaneous negative segregation of slab, with the subcutaneous negative segregation band of coordinated regulation slab and center segregation, realizes The raising of slab homogenieity;Be conducive to slag interface undulated control in the reasonable scope, be more advantageous to slag blanket temperature and uniformly rise Height melts slag blanket.
Detailed description of the invention
Fig. 1 is the stream of the method for crystallizer slag interface fluctuation in a kind of prediction continuous casting provided in an embodiment of the present invention Cheng Tu;
Fig. 2 is the initial 3-D geometric model schematic diagram of crystallizer provided in an embodiment of the present invention, wherein (a) is whole mould Type (b) is initial mouth of a river partial enlarged view;
Fig. 3 is the schematic diagram of the slag interface distribution and Flow Field Distribution situation of prediction provided in an embodiment of the present invention, wherein (a) it is the slag interface distribution and Flow Field Distribution situation predicted using initial 3-D geometric model, (b) is to be inserted using the change mouth of a river The slag interface distribution and Flow Field Distribution situation of 3-D geometric model prediction after entering depth;
Fig. 4 is the schematic diagram of the crystallizer 3-D geometric model after change mouth of a river shape provided in an embodiment of the present invention;
Fig. 5 is the signal of slag interface distribution and Flow Field Distribution situation after change mouth of a river shape provided in an embodiment of the present invention Figure;
Fig. 6 is the liquid of slab median plane radial distance corresponding thereto after change mouth of a river shape provided in an embodiment of the present invention Surface wave dynamic height rectangular coordinate system figure.
In figure, 1, slab eddy flow downspout;2, slag interface in crystallizer;3, slab eddy flow downspout exports;4, slab;5, electric Magnetic mixing plant;6, continuous cast mold;
Specific embodiment
With reference to the accompanying drawings and examples, specific embodiments of the present invention will be described in further detail.Implement below Example is not intended to limit the scope of the invention for illustrating the present invention.
The present embodiment is by taking the original round billet design drawing of certain steel mill as an example, using crystallizer steel in prediction continuous casting of the invention The method of slag interface fluctuation predicts the fluctuation situation of crystallizer slag interface in continuous casting.
The corresponding radius of the original round billet design drawing of the steel mill and height are respectively 250mm, 2000mm, and wherein crystallizer section has Height 780mm is imitated, is secondary cooling zone remaining as 1220mm.The vertical disc in the mouth of a river, immersion depth 120mm, mouth of a river internal diameter 42mm, outside Three outlets of diameter 100mm, the mouth of a river are evenly distributed on away from mouth of a river bottom 10mm, 15 ° of inclination that Open Side Down.Its production is radius 250mm round billet, nozzle inlet internal diameter are 42mm, and crystallizer effective height is 0.78m, and the mouth of a river immerses mold liquid level depth and is 0.12m, molten steel entrance velocity is 0.32m/min, if the following table 1 is the physical parameter that practical institute produces steel grade Q235 steel.
1 steel grade parameter of table
A kind of method of crystallizer slag interface fluctuation in prediction continuous casting, as shown in Figure 1, comprising the following steps:
Step 1, according to steel mill's continuous casting installation for casting process, establish crystallizer three-dimensional geometry mould with Gambit modeling software Type, as shown in Fig. 2, and to model carry out gridding, definition formulate model boundary condition, then export .msh file;The side Boundary's condition includes entrance boundary condition, export boundary condition, model top surface boundary condition and crystallizer wall surface and mouth of a river wall surface side Boundary's condition;
In the present embodiment, the specific size parameter of crystallizer 3-D geometric model is as shown in table 2:
The parameter value of 2 3-D geometric model of table
Parameter Numerical value
Casting blank cross-section size, mm R250mm
Model computational length, mm 2000mm
Mouth of a river immersion depth, mm 120mm
Crystallizer effective height, mm 780mm
Distance of the water-gap outlets away from mouth of a river bottom, mm 10mm
The mouth of a river is angled downward, ° 15°
Specifically, Gambit modeling software is opened, creating geometrical model according to above-mentioned parameter, (Y negative direction is gravity side To), Mesh button is clicked in control panel, grid dividing is carried out to 3-D geometric model, then carries out the definition of boundary condition, The boundary condition of definition has nozzle inlet boundary condition inlet, free surface boundary condition free surface at the top of model, mould Type wall boundary condition moldwall and export boundary condition outlet;Modeling finishes, and three-dimensional mathematical model is saved as Mold.msh file;
.msh file derived from step 1 is imported in fluid analysis simulation softward Ansys Fluent and is simulated by step 2 It calculates, method particularly includes:
Step 2.1, grid import and processing: the .msh file saved in read step 1 checks grid, guarantees grid most Small size minimum volume less than 0 (General → Check), be arranged net region size (General → Scale → Mesh Length Unit In→mm);
Step 2.2, setting physical model and material: according to type Pressure Based of actual setting solver, again Power acceleration is Y-axis negative direction, size 9.81m/s2, select turbulence model and multiphase flow model for computation model (Models →Viscous Laminar→K-e/Energy;Model → Multiphase → Volume of Fluid), setting material be Fluid (Materials → steel;Materials → Slag), the surface tension that slag interface is arranged is 1.4N/m;
Step 2.3, setting operating environment (Define → operating conditions keeps default) and boundary condition (Boundary conditions→inlet/outlet/free surface/mold wall);
In boundary condition, the entrance boundary condition includes inlet velocity vinlet, tubulence energy k, tubulence energy dissipative shock wave ε, It is obtained respectively according to formula (1)-(3):
Wherein, vcastFor drawing speed, unit m/min;SoutFor mold exit area of section, unit m2;SinFor leaching Enter area of section at formula nozzle inlet, unit m2, the vinletUnit is m/min;
Wherein, RnozFor nozzle inlet radius, unit m;
The model top surface is set as free surface, and the velocity component and every other each variable perpendicular to liquid level are along level surface method The gradient in line direction is set as zero, meets formula (4):
Wherein, v is the velocity magnitude of model Free Surface x and the direction z, unit m/min;H is molten steel sensible heat, and unit is J/kg, h=CpTin, CpFor specific heat, TinFor inlet temperature, unit J/kg/k;U is throwing direction speed, unit m/min;
Using the interface between VOF model following phase for multiphase flow model is the volume by solving a phase or multiphase The continuity equation of ratio is completed;To q phase, the multiphase flow conservation of mass is controlled by following formula:
Wherein, SaqFor quality source item, αqFor q phase volume fraction, ρqFor q phase density, t is the time;In default scenario Lower formula (5) right end source item is zero, but when to each phase specified constant or user-defined Mass Sources, then right end is not zero;
The export boundary condition needs the condition met are as follows: sufficiently development, i.e., each physical quantity edge are flowed at mold exit The normal derivative in the section is zero;
For the crystallizer wall boundary condition at crystallizer wall surface, the velocity component perpendicular to wall surface is zero, and parallel In wall surface component using no slip boundary condition, meet formula (6):
Voutlet=Vcast, Vwall=kwall=0 (6)
Wherein, Voutlet is muzzle velocity, and Vcast is pulling rate, and Vwall is crystallizer wall face velocity, and kwall is crystallization Wall face tubulence energy;
In the present embodiment, inlet velocity vinletIt can be calculated V according to formula (1)inlet=0.756m/s;Tubulence energy k can be by Formula (2) obtains, and k=5.71536e-03m2/s;Tubulence energy dissipative shock wave ε=0.020575296m is obtained by formula (3)2/s3;Mould Type top surface is set as free surface free surface, and the velocity component and every other each variable perpendicular to liquid level are along liquid level normal The gradient in direction is set as zero, meets following condition:Export boundary condition outlet needs full The condition of foot are as follows: sufficiently development is flowed at mold exit, i.e., normal derivative of each physical quantity along the section is zero;Crystallizer wall surface Boundary condition moldwall is at crystallizer wall surface, and the velocity component perpendicular to wall surface is zero, and the component for being parallel to wall surface is adopted With no slip boundary condition, meet following condition: Vout=Vcast=0.00533m/s, Vwall=kwall=0.
Step 2.4, setting method for solving and control parameter: setting method for solving opens Solution Methods panel, Pressure PISO algorithm corresponding with speed coupled modes, gradient select Least Squares Cell Based, and pressure uses Body Force Weighted format, the equation of momentum select Second OrderUpwind format;Setting solves control parameter, clicks Solution controls panel keeps default;
Step 2.5, setting monitor window and initialization;When initialization, set in range at top liquid level 15mm Path is steel slag, other regions are defaulted as molten steel;
Step 2.6, setting iterative steps and time step progress row parametric solution;
Shown in the restrictive condition of the time step such as formula (7):
Courant=u Δ t/ Δ x (7)
Wherein, u is fluid velocity, unit m/s;Δ t is time step, unit s;Δ x is size of mesh opening, and unit is m;Courant is Krona spy number, indicates a fluid particle can pass through how many a grids in a time step;When gram It when Lang Te number < 1, calculates and stablizes, but time step is small, calculate overlong time;As 1 < Kronas of spy number < 5, computational stability Still seldom occur calculating diverging very well;When Krona spy number > 10, calculating is interrupted it is easy to appear diverging;Therefore, Krona is special Number assists to select suitable time step;
In the present embodiment, Run Calculation panel is opened, inputs iteration step at Number of Iterations Number, the input time step-length at Time Step Size, time step can obtain Δ t=0.04s by formula (7), be drawn by step 1 Subnetting lattice acquire Courant=1.2096 in the reasonable scope it is found that Δ x=0.025m, u=0.756m/s;It clicks Calculate button starts to calculate;
The parameter for finally solving acquisition includes the entrance velocity vinnlet, tubulence energy k, tubulence energy dissipative shock wave ε and time step Long Δ t, as shown in table 3:
The data of the acquisition parameter of table 3
Step 3, simulation extract data after calculating;In Ansys Fluent software click File → Export → Solution extracts the data in crystallizer slag interface position, shape and neighbouring flow field, and in the poster processing soft Tecplot In, establish the schematic diagram of the slag interface distribution and Flow Field Distribution situation of prediction as shown in Figure 3;
Step 4 analyzes post-processing result: obtaining image according to step 3, judges that slag interface fluctuates situation;
In the present embodiment, the slag interface that analysis finds the prediction of the straight hole mouth of a river is carried out to post-processing result as shown in Figure 3 It is very steady.
Step 5, adjustment slab mouth of a river insertion depth and mouth of a river shape re-execute the steps 1-4 and fluctuate feelings to slag interface Condition is predicted, and is compared and analyzed to the slag interface fluctuation behavior of adjustment front and back.
In the present embodiment, mouth of a river insertion depth is increased into 20mm or the straight hole mouth of a river is changed to the three hole mouths of a river, with this size It re-execute the steps 1-4 and carries out 3 d geometric modeling, calculating, post-processing.
After the slab mouth of a river is changed to three hole eddy flow downspouts, as shown in Figure 4, wherein 1 is slab eddy flow downspout, and internal diameter is 42mm, outer diameter 100mm;2 be slag interface in crystallizer;3 export for slab eddy flow downspout, and internal diameter 25mm, drift angle is downward 15 °, be 10mm apart from mouth of a river bottom;4 be R be 250mm slab;5 be electromagnetic stirring equipment;6 be continuous cast mold;It obtains at this time Schematic diagram and as shown in FIG. 6 change of the slag interface distribution with Flow Field Distribution situation after changing mouth of a river shape as shown in Figure 5 The rectangular coordinate system figure of the liquid fluctuating height of slab median plane radial distance corresponding thereto after the shape of the mouth of a river.
As seen from Figure 6, when changing mouth of a river shape, liquid fluctuating height increases to 4.5mm from 0mm, illustrates mouth of a river shape When shape changes into three holes by straight hole, steel slag liquid fluctuating increases.Crystallizer steel in continuous casting can be predicted by this method Slag interface fluctuation.
Finally, it should be noted that the above embodiments are merely illustrative of the technical solutions of the present invention, rather than its limitations;Although Present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that: it still may be used To modify to technical solution documented by previous embodiment, or some or all of the technical features are equal Replacement;And these are modified or replaceed, model defined by the claims in the present invention that it does not separate the essence of the corresponding technical solution It encloses.

Claims (3)

1. a kind of method of crystallizer slag interface fluctuation in prediction continuous casting, it is characterised in that: the following steps are included:
Step 1, according to steel mill's continuous casting installation for casting process, establish crystallizer 3-D geometric model with Gambit modeling software, And gridding is carried out to model, formulates model boundary condition, then export .msh file;The boundary condition includes entrance boundary Condition, export boundary condition, model top surface boundary condition and crystallizer wall surface and mouth of a river wall boundary condition;
Step 2 will carry out simulation calculating in the importing fluid calculation software of .msh file derived from step 1, method particularly includes:
Step 2.1, grid import and processing: the .msh file saved in read step 1 checks grid, guarantees grid most corpusculum Net region size is arranged less than 0 in product;
Step 2.2, setting physical model and material: being Y-axis losing side according to the type of actual setting solver, acceleration of gravity To, select turbulence model and multiphase flow model for computation model, setting material be fluid, be arranged slag interface surface tension;
Step 2.3, setting operating environment and boundary condition;
Step 2.4, setting method for solving and control parameter;
Step 2.5, setting monitor window and initialization;
When initialization, it is being set as steel slag in range at top liquid level 15mm, other regions are defaulted as molten steel;
Step 2.6, setting iterative steps and time step, carry out parametric solution;
The parameter for finally solving acquisition includes the entrance velocity vinlet, tubulence energy k, tubulence energy dissipative shock wave ε and time step Δ t;
Step 3, simulation extract data after calculating;Crystallizer slag interface position, shape are extracted in fluid calculation software And the neighbouring data in flow field establish slab median plane radial distance corresponding thereto and in the poster processing soft Tecplot Liquid fluctuating height rectangular coordinate system scattergram;
Step 4 analyzes post-processing result: the rectangular coordinate system scattergram obtained according to step 3 judges steel slag circle Surface wave emotionally condition;
Step 5, adjustment slab mouth of a river insertion depth and mouth of a river shape, re-execute the steps 1-4 to slag interface fluctuation situation into Row prediction, and the slag interface fluctuation behavior of adjustment front and back is compared and analyzed.
2. the method for crystallizer slag interface fluctuation, feature exist in a kind of prediction continuous casting according to claim 1 In: setting boundary condition described in step 2.3 method particularly includes:
The entrance boundary condition includes inlet velocity vinlet, tubulence energy k and tubulence energy dissipative shock wave ε, respectively according to formula (1)- (3) it obtains:
Wherein, vcastFor drawing speed, SoutFor mold exit area of section, SinFor submersed nozzle inlet area of section;
Wherein, RnozFor nozzle inlet radius;
The model top surface is set as free surface, and the velocity component and every other each variable perpendicular to liquid level are along liquid level normal side To gradient be set as zero, meet formula (4):
Wherein, v is the velocity magnitude of model Free Surface x and the direction z, h=CpTinFor molten steel sensible heat, CpFor specific heat, TinTo enter Mouth temperature, u are throwing direction speed;
Using the interface between VOF model following phase for multiphase flow model is the volume ratio by solving a phase or multiphase Continuity equation complete;To q phase, the multiphase flow conservation of mass is controlled by following formula:
Wherein, SaqFor quality source item, αqFor q phase volume fraction, ρqFor q phase density, t is the time;The formula under default scenario (5) right end source item is zero, but when to each phase specified constant or user-defined Mass Sources, then right end is not zero;
The export boundary condition needs the condition met are as follows: sufficiently development is flowed at mold exit, i.e., each physical quantity is along this section The normal derivative in face is zero;
For the crystallizer wall boundary condition at crystallizer wall surface, the velocity component perpendicular to wall surface is zero, and is parallel to wall The component in face meets formula (6) using no slip boundary condition:
Voutlet=Vcast, Vwall=kwall=0 (6)
Wherein, Voutlet is muzzle velocity, and Vcast is pulling rate, and Vwall is crystallizer wall face velocity, and kwall is crystallizer wall Face tubulence energy.
3. the method for crystallizer slag interface fluctuation, feature exist in a kind of prediction continuous casting according to claim 1 In: shown in the restrictive condition of time step described in step 2.6 such as formula (7):
Courant=u Δ t/ Δ x (7)
Wherein, u is fluid velocity, and Δ t is time step, and Δ x is size of mesh opening, and Courant is Krona spy number, is indicated one A fluid particle can pass through how many a grids in a time step;As Krona spy number < 1, calculates and stablize, but time step Length is small, calculates overlong time;As 1 < Kronas of spy number < 5, computational stability still seldom occurs calculating diverging very well;When gram When Lang Te number > 10, calculating is interrupted it is easy to appear diverging;Therefore, suitable time step is selected in Krona spy number assistance.
CN201910078981.4A 2019-01-28 2019-01-28 A kind of method of crystallizer slag interface fluctuation in prediction continuous casting Pending CN109530648A (en)

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CN113828746A (en) * 2021-09-22 2021-12-24 日照钢铁控股集团有限公司 Method for evaluating crystallizer flow field by utilizing vibration trace distribution of casting blank
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CN114528787A (en) * 2022-04-24 2022-05-24 北京科技大学 Method and device for evaluating flow uniformity of outlet of long nozzle and impact area of tundish
CN114918394A (en) * 2022-04-22 2022-08-19 首钢集团有限公司 Method and device for controlling flow field bias of crystallizer
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CN113926865B (en) * 2020-06-29 2024-03-08 宝山钢铁股份有限公司 Casting blank slag inclusion prediction method, machine cleaning control method, computing equipment and storage medium
CN113926865A (en) * 2020-06-29 2022-01-14 宝山钢铁股份有限公司 Casting blank slag inclusion forecasting method, machine cleaning control method, computing device and storage medium
CN112182852A (en) * 2020-09-08 2021-01-05 山东莱钢永锋钢铁有限公司 Method and device for predicting service life of crystallizer copper pipe
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CN113198994A (en) * 2021-04-25 2021-08-03 东北大学 Method for improving subcutaneous negative segregation in large round billet crystallizer in continuous casting process
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CN114918394A (en) * 2022-04-22 2022-08-19 首钢集团有限公司 Method and device for controlling flow field bias of crystallizer
CN114528787A (en) * 2022-04-24 2022-05-24 北京科技大学 Method and device for evaluating flow uniformity of outlet of long nozzle and impact area of tundish
CN115106499A (en) * 2022-06-30 2022-09-27 北京科技大学 Crystallizer liquid level abnormal fluctuation distinguishing method and system
CN115106499B (en) * 2022-06-30 2024-02-20 北京科技大学 Method and system for judging abnormal fluctuation of liquid level of crystallizer

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