CN105855495B - A kind of determination method of casting blank solidification structure - Google Patents
A kind of determination method of casting blank solidification structure Download PDFInfo
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- CN105855495B CN105855495B CN201610214771.XA CN201610214771A CN105855495B CN 105855495 B CN105855495 B CN 105855495B CN 201610214771 A CN201610214771 A CN 201610214771A CN 105855495 B CN105855495 B CN 105855495B
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D11/00—Continuous casting of metals, i.e. casting in indefinite lengths
- B22D11/16—Controlling or regulating processes or operations
- B22D11/18—Controlling or regulating processes or operations for pouring
- B22D11/188—Controlling or regulating processes or operations for pouring responsive to thickness of solidified shell
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Abstract
The invention discloses a kind of determination method of casting blank solidification structure, belong to metallurgy industry continuous casting technical field.The determination method of casting blank solidification structure of the invention, comprises the following steps：(A) initial parameter determines；(B) nailing experiment；(C) casting billet surface thermometric；(D) model selection；(E) Model Measured；(F) Mathematical Modeling.Present invention discover that and overcome in the prior art for " method of powder actuated shot " measure continuous casting and solidifying shell thickness technology prejudice, there is provided a kind of determination method of casting blank solidification structure, can science accurately determine the parameters such as continuous casting billet thickness of solidified slab shell in secondary, and the determination of suitable any steel grade casting blank solidification structure, there is significant reference and directive significance to continuous casting technical field.
Description
Technical field
The invention belongs to metallurgy industry continuous casting technical field, more specifically to a kind of casting blank solidification structure
Determine method.
Background technology
Strand, in the thickness of solidified slab shell in secondary of two cold-zone certain positions, is a highly important technological parameter in continuous casting.Survey
The method for determining casting blank shell thickness and liquid core terminal has many kinds, such as " green shell puncture method ", " slab bulge method ", " electromagnetism surpass
Sonic method " and " method of powder actuated shot " etc., but cut both ways.The advantage of " green shell puncture method " is accurate visual result, is had the disadvantage to even
Casting Influence of production is big, and can only implement in the relatively thin place of crystallizer outlet green shell, is only capable of obtaining less accurate solid phase thickness
Data；The advantage of " slab bulge method " is simple to operate, has the disadvantage have an impact to production, is only capable of obtaining solid phase shell thickness；" electricity
The advantage of magnetic supercritical ultrasonics technology " is noiseless to producing, but the accuracy of result has much room for improvement；The advantage of " method of powder actuated shot " is to production
Almost noiseless, low cost, device is simple, is easy to carry, and has the disadvantage with certain danger.In view of above-mentioned various methods
Advantage and disadvantage, at present, vast enterprise and scientific research institutions generally use " method of powder actuated shot " when casting blank shell thickness is determined.
The thickness of casting blank solidification green shell is determined with " method of powder actuated shot ", is that will be driven into solidify as the steel nail of tracer material
Strand, then in strand relevant position, sampling carries out dissection and analysis.The main equipment of nailing experiment is by nailing gun and exciter group
Into.The special steel nail of nailing is installed in the middle part of nailing gun near the position of front end, and the both sides of steel nail are provided with along steel nail length side
To sulphur groove, have iron sulfide in sulphur groove.The rapid diffusion after nailing enters in casting blank liquid core of the sulfide of low melting point, so as to
The method of enough sufur printings or low power acidleach shows the spread condition of sulfide and then measurement obtains shell thickness.
It is existing a large amount of open in the prior art on the related art scheme of " method of powder actuated shot " application：Such as patent publication No.：
CN 101992281A, publication date：On March 30th, 2011, invention and created name is：A kind of thickness of continuous casting shell measuring method and
Its device, this application case discloses a kind of thickness of continuous casting shell measuring method and its device, using at least two of continuous arrangement
Nailing gun, is shot the moment each time by accurate calculating and control, the nailing of injection is concentrated on setting position, after realizing dissecting
Measurement to each moment shell thickness of strand, this application case is particularly suited for the shell thickness detection of circular-arc type continuous casting machine.
" method of powder actuated shot " is used although theoretically can relatively accurately learn the change of continuous casting and solidifying shell thickness, and
Steel mill both domestic and external is also most of to measure casting blank solidification shell thickness using above-mentioned " method of powder actuated shot ", but, inventor is in reality
When using " method of powder actuated shot " to measure shell thickness, contrast test hair is carried out by the method with other measurement casting blank solidification shell thicknesses
It is existing, when measuring shell thickness using above-mentioned " method of powder actuated shot ", sometimes occur the thickness of solidified slab shell in secondary value accuracy measured compared with
Poor problem, causes the concrete reason inventor of this clock phenomenon not understand after repeated thinking.
Also measure the technical scheme of thickness of continuous casting shell in the presence of " method of powder actuated shot " is improved in the prior art to disclose, example
Such as patent publication No.：CN 103940351A, publication date：On March 30th, 2014, invention and created name is：Nailing sample is accurately sentenced
Disconnected casting blank shell thickness in-situ study method, this application case discloses a kind of nailing sample and accurately judges that casting blank shell thickness is in situ
Analysis method, belongs to continuous casting technology field.The in-situ study method of this application case be by nailing sample be processed into 50~90mm ×
The in-situ study sample of 80~150mm simultaneously carries out continuous spectrum scanning analysis, according to each element concentration along the change for following closely body direction
Rule, the boundary for quantifying, accurately judging that between continuous casting billet solid phase area and two-phase section difference liquid fraction region, research solidification end
Flowing and spread condition and the content distribution to various elements and base densities degree inside the strand of end are analyzed, can be accurate
Obtain secondary cooling process of CC route specified location casting blank shell thickness, the width in two-phase section difference liquid fraction region.Though this application case
So can accurately obtain specified location casting blank shell thickness, but complex operation, while using the relatively costly of spectral scan.
In sum, how using " method of powder actuated shot " simple, low cost and precisely measure out thickness of solidified slab shell in secondary value, be existing
There is a big technical barrier of urgent need to resolve in technology.
The content of the invention
1. the invention technical problem to be solved
It is an object of the invention to overcome above-mentioned deficiency of the prior art, there is provided a kind of determination of casting blank solidification structure
Method, can simply, low cost and precisely measure out the parameters such as thickness of solidified slab shell in secondary value.
2. technical scheme
To reach above-mentioned purpose, the technical scheme that the present invention is provided is：
The determination method of casting blank solidification structure of the invention, comprises the following steps：
(A) initial parameter determines；
(B) nailing experiment；
(C) casting billet surface thermometric；
(D) model selection；
(E) Model Measured；
(F) Mathematical Modeling.
Used as further improvement of the present invention, in step (A), the material of material and nailing according to strand is counted respectively
Calculation obtains the solidus temperature T of strandSWith the solidus temperature T of nailingd。
As further improvement of the present invention, in step (B), nailing operation is carried out to strand using nailing tools, and
Measure the complete length L that the nailing injected is retained in strandd。
As further improvement of the present invention, in step (C), casting blank surface temperature at nailing is measured using temperature measuring equipment
Tb。
As further improvement of the present invention, in step (D), 1) work as TS≥TdWhen, into step (E)；2) T is worked asS＜ Td
When, into step (F).
As further improvement of the present invention, in step (E), the shell thickness L of strand nailing positionz=Ld。
As further improvement of the present invention, in step (F), 1) establishment casting blank solidification and mathematical Model of Heat Transfer；2) select
Select at nailing that casting billet surface distance is L at the point M of casting billet surface one and strand middle-range nailingdThe one point W at place；3) in slab thickness side
To grid division；4) actual condition parameter when by nailing operation is input into above-mentioned Mathematical Modeling, and by M points and the parameter of W points
The above-mentioned Mathematical Modeling of value correction；5) according to the result of calculation of Mathematical Modeling after correction, casting blank solidification structure is determined.
As further improvement of the present invention, the 1st of step (F) the) step by step in, casting blank solidification and mathematical Model of Heat Transfer
For：
In formula, T：Strand temperature, K；t：Time, s；ρ：Density, kgm-3；λ：The coefficient of heat conduction, Wm- 1·K- 1；Cp：
Specific heat, JKg- 1·K- 1；ρ, λ and CpIt is the function of T；Tm：The fusing point of pure iron, K；TL：The liquidus temperature of strand, K；L：Casting
Base latent heat of solidification, JKg- 1；fs, solid rate；
Boundary condition is：
In crystallizer
Two cold-zones
Air cooling zone
In formula, n：Coordinate x or y, m；β1：Coefficient；Lm：Crystallizer effective length, m；V：Pulling rate, mmin- 1；hZ：It is secondary
Cooling integrated heat transfer coefficient；ε：Surface coefficient of blackness；Tb：Casting blank surface temperature, K；Tw：Cooling water temperature, K；Ta：Surrounding air
Temperature, K；σ：Stefan Boltzmann constant；h'：Air cooling zone convection transfer rate, Wm- 2·K- 1。
As further improvement of the present invention, the 3rd of step (F) the) step by step in, slab thickness direction divide it is N number of
Grid, then be first grid at casting billet surface, and the thickness represented at first grid is 0, and strand center is n-th net
Lattice, slab thickness is Ds, then the thickness for being represented at n-th grid isAssuming that away from casting billet surface LdThe grid number at place is K
Individual, then the thickness for being represented at k-th grid is
The 4th of step (F)) step by step in, be calculated the parameter value M (1, T that M points and W points are expressed with coordinate formb1)、W
(K, Td), casting blank solidification and mathematical Model of Heat Transfer are corrected using above-mentioned parameter value, above-mentioned coordinate form is for (which point is in
Individual grid, point temperature value).
As further improvement of the present invention, the 5th of step (F) the) step by step in, according to the meter of Mathematical Modeling after correction
Calculate result, distance in the temperature field of casting blank section using the solidus temperature position of strand away from casting billet surface is used as strand nailing
The shell thickness L of positionz, using liquidus temperature position of the solidus temperature position of strand away from strand as solid-liquid two-phase region away from
From using distance of the liquidus temperature position of strand away from strand center as wick-containing thickness.
3. beneficial effect
The technical scheme provided using the present invention, compared with prior art, with following remarkable result：
(1) present invention discover that and overcome in the prior art for " method of powder actuated shot " measure continuous casting and solidifying shell thickness skill
A kind of art prejudice, there is provided determination method of casting blank solidification structure, can science accurately determine continuous casting billet thickness of solidified slab shell in secondary
Etc. parameter, and it is adapted to the determination of any steel grade casting blank solidification structure, has to continuous casting technical field and significant use for reference and refer to
Lead meaning.
(2) the determination method of casting blank solidification structure of the invention, it is not necessary to change existing production technology, does not influence normal
Production, pollution-free to strand and equipment, measurement cost is low, simple to operate, economical and practical.
Brief description of the drawings
Fig. 1 is nailing sufur printing schematic diagram in the prior art；
Fig. 2 is that strand material is the nailing sufur printing schematic diagram of Q345；
Fig. 3 is that strand material is the nailing sufur printing schematic diagram of GCr15；
Fig. 4 is the nailing sufur printing schematic diagram after the grid division of slab thickness direction；
Fig. 5 is the flow chart of the determination method of casting blank solidification structure of the invention.
Specific embodiment
As shown in figure 1, by analyzing nailing sufur printing figure, the profile variation according to nailing is by part in strand in the prior art
It is three regions：A-quadrant, in the region nailing maintain the profile of its original, sulfide does not spread；B regions, in this area
Nailing periphery has fraction to melt sulfide and starts to be spread to surrounding in domain, but interior tissue is still different from green shell tissue；C areas
Domain, in the region nailing be completely melt that sulfide fully spreads, tissue also changed into and green shell identical tissue.For
How to determine that shell thickness, T.Kawawa of NKK companies etc. have once been carried out compared with systematic research, prior art according to nailing profile
In also use same method substantially, the liquidus curve of strand, A areas will be considered as with the boundary line in C regions in B regions in Fig. 1
Domain is considered as the solidus of strand with the boundary line in B regions, therefore, existing " method of powder actuated shot " is used as with measuring the thickness of a-quadrant
The measured value of thickness of solidified slab shell in secondary.(T in Fig. 1 represents strand temperature, and closer to center, temperature is higher inside strand)
But, inventor measures casting blank solidification base when actually used " method of powder actuated shot " tests shell thickness by with other
The method of thickness of the shell carries out contrast test discovery, when measuring shell thickness using above-mentioned " method of powder actuated shot ", measurement sometimes occurs
The poor problem of the thickness of solidified slab shell in secondary value accuracy that goes out, the shell thickness of bearing steel is measured in particular by above-mentioned " method of powder actuated shot "
When, there is larger deviation with actual value in the thickness of solidified slab shell in secondary value for being frequently found to measure.Inventor is by many experiments number
According to contrast, it is found that the reason for producing above-mentioned deviation is likely to the difference of strand steel grade, concrete reason is analyzed as follows：
In existing " method of powder actuated shot " material of nailing be medium carbon steel 60Si2Mn (due to the enterprise of domestic production nailing is very few can
Number, the material of nailing is for a long time fixed), its solidus temperature TdIt is 1354 DEG C.(1) as shown in Fig. 2 for solidus
Temperature is significantly greater than TdStrand, such as Q345 solidus temperatures be 1472 DEG C, when in strand temperature be less than 1472 DEG C when, strand coagulate
Gu, after nailing enters herein, although can melt, but because no space flows away, so in follow-up temperature-fall period, can coagulate again
Consolidate into nailing shape, after obtaining nailing sufur printing figure, it is also contemplated that the complete profile of steel nail is shown this position green shell in a-quadrant
Thickness；(2) as shown in figure 3, being significantly less than T for solidus temperaturedStrand, such as beating steel GCr15 solidus temperature is
1314 DEG C, when temperature, higher than 1314 DEG C and during less than 1354 DEG C, is herein GCr15 solid-liquid two-phase regions in strand, but nailing enters
Will not be melted after herein, still keep original profile, after obtaining nailing sufur printing figure, it is clear that must not believe that nailing in now a-quadrant
Complete profile is shown the thickness of green shell, and now, the thickness of green shell should be the thickness in A' regions in Fig. 3.By above-mentioned point
Analysis understands, when the solidus temperature of strand material is different from the relativeness of nailing material solidus temperature, the thickness of a-quadrant
Differ and surely directly represent the thickness of green shell, this be also existing " method of powder actuated shot " measurement thickness of solidified slab shell in secondary value when often with reality
There is the main cause of relatively large deviation in value；And in the prior art, lot of domestic and international steel mill is because of various reasons (such as to green shell
The precise requirements of thickness measurements are not very high or thinking set for a long time etc.), still theoretically believe use
Above-mentioned " method of powder actuated shot " can relatively accurately measure continuous casting and solidifying shell thickness, and this is in fact an inclined technology for a long time
See, and the present invention not only theoretically discloses this technology prejudice, and corresponding specific solution is proposed, to continuous casting
Production technical field has significant reference and directive significance.
Above-mentioned corresponding specific solution is as follows, the determination method of casting blank solidification structure of the invention, including following step
Suddenly (Fig. 5 is referred to)：
(A) initial parameter determines：The material of material and nailing according to strand, is calculated the solidus temperature of strand respectively
Degree TSWith the solidus temperature T of nailingd；Once (clear and definite steel grade, you can easily calculate its solidus temperature, liquidus temperature
Etc. parameter)
(B) nailing experiment：Nailing operation is carried out to strand using nailing tools, by after relevant treatment, measuring what is injected
Nailing is retained in the complete length L in strandd；
(C) casting billet surface thermometric：Casting blank surface temperature T at nailing is measured using infrared temperature measurement apparatusb1；
(D) model selection：
1) T is worked asS≥TdWhen, into step (E)；From analysis above, in such cases, LdCan be really anti-
Reflect the shell thickness of strand nailing position；2) T is worked asS＜ TdWhen, into step (F)；From analysis above, in such cases,
LdThe shell thickness value of strand nailing position can not really be reflected, but by LdA temperature for actual measurement can exactly be reflected
Degree point data (i.e. W points in Fig. 4), can be corrected by the point to Mathematical Modeling below.
(E) Model Measured：The shell thickness L of strand nailing positionz=Ld, now, the determination of casting blank solidification structure with it is existing
" method of powder actuated shot " in technology is consistent, and the other specification of strand can be drawn using existing " method of powder actuated shot "；
(F) Mathematical Modeling：In step (F), 1) establishment casting blank solidification and mathematical Model of Heat Transfer；Wherein, casting blank solidification and biography
Thermal mathematic model is：
In formula, T：Strand temperature, K；t：Time, s；ρ：Density, kgm-3；λ：The coefficient of heat conduction, Wm- 1·K- 1；Cp：
Specific heat, JKg- 1·K- 1；ρ, λ and CpIt is the function of T；Tm：The fusing point of pure iron, K；TL：The liquidus temperature of strand, K；TS：
The solidus temperature of strand, K；L：Casting blank solidification latent heat, JKg- 1；fs, solid rate；
Boundary condition is：
In crystallizer
Two cold-zones
Air cooling zone
In formula, n：Coordinate x or y, m；β1：Coefficient (different crystallizers, β1Value is different, for specific conticaster,
Can be calculated by field measurement data)；Lm：Crystallizer effective length, m；V：Pulling rate, mmin- 1；hZ：Secondary cooling is comprehensive
Close the coefficient of heat transfer；ε：Surface coefficient of blackness (i.e. casting billet surface radiance)；Tb：Casting blank surface temperature, K；Tw：Cooling water temperature, K；
Ta：Ambient air temperature, K；σ：Stefan Boltzmann constant, 5.67 × 10-8W·m- 2·K- 4；h'：Air cooling zone heat convection
Coefficient, Wm- 2·K- 1。
2) such as Fig. 4, casting billet surface distance is L at the point M of casting billet surface one and strand middle-range nailing at selection nailingdThe one of place
Point W；It is apparent from：Distance of the M points away from casting billet surface is T for the temperature of 0, M pointsb1；Distance of the W points away from casting billet surface is Ld, the temperature of W points
It is T to spendd(due to from casting billet surface to strand center direction, temperature more and more higher, at the same time, from W points to casting billet surface
Direction, nailing keeps complete profile, i.e. nailing is unfused, and from W points to strand center direction, nailing starts fusing, therefore,
The temperature for illustrating W points is necessarily Td)；
3) in slab thickness direction grid division, specially：N number of grid is divided in slab thickness direction, then casting billet surface
It is first grid to locate, and the thickness represented at first grid is 0, and strand center is n-th grid, and slab thickness is
Ds, then the thickness for being represented at n-th grid isAssuming that away from casting billet surface LdThe grid number at place is k-th, then k-th grid
Locate represent thickness be
4) actual condition parameter when by nailing operation is input into above-mentioned Mathematical Modeling, and by M points and the parameter value school of W points
Just above-mentioned Mathematical Modeling (is mainly corrected, determines h thereinZAnd ε), specially：M points and W points are calculated with coordinate form
The parameter value M (1, T of expressionb1), W (K, Td), correct casting blank solidification and mathematical Model of Heat Transfer, above-mentioned coordinate using above-mentioned parameter value
Form is (point is in which grid, point temperature value)；Wherein,Due to Ds, N and LdIt is known ginseng
Number, therefore the value of K can be calculated.
5) according to the result of calculation of Mathematical Modeling after correction, casting blank solidification structure is determined, specially：According to mathematics after correction
The result of calculation of model, distance in the temperature field of casting blank section using the solidus temperature position of strand away from casting billet surface as
The shell thickness L of strand nailing positionz, using liquidus temperature position of the solidus temperature position of strand away from strand as solid-liquid
Two-phase section distance, using distance of the liquidus temperature position of strand away from strand center as wick-containing thickness.
Present invention discover that and overcome in the prior art for " method of powder actuated shot " measure continuous casting and solidifying shell thickness technology
A kind of prejudice, there is provided determination method of casting blank solidification structure, can science accurately determine continuous casting billet thickness of solidified slab shell in secondary etc.
Parameter, and it is adapted to the determination of any steel grade (steel grade such as high, medium and low carbon) casting blank solidification structure, have to continuous casting technical field
There is significant reference and directive significance.
The determination method of casting blank solidification structure of the invention, it is not necessary to change existing production technology, normal life is not influenceed
Produce, pollution-free to strand and equipment, measurement cost is low, simple to operate, economical and practical.
To further appreciate that present disclosure, the present invention is described in detail in conjunction with the embodiments.Given the following is the present invention
The embodiment for going out is, it is necessary to explanation, the present invention including but not limited to following examples.
Embodiment 1
The conticaster of the present embodiment be round billet continuous casting machine, casting section 380mm, cast steel grade beating steel GCr15, according into
Divide the solidus temperature T for calculating strandS=1314 DEG C, liquidus temperature TL=1441 DEG C.
1) nailing tools are installed in the position of continuous casting two cold segment distance mold liquid level 11.10m, base is extracted after nailing operation
Block, carries out sufur printing, acidleach treatment successively after plane, mill processing, measure the complete length L that the nailing injected is retained in strandd=
103mm, the material 60Si2Mn according to nailing calculates the solidus temperature T of nailingd=1354 DEG C；
2) after nailing operation, casting blank surface temperature T at conticaster nailing is measured using infrared temperature measurement apparatusb1=961 DEG C；
3) due to TS＜ Td, now LdThe green shell actual thickness of strand nailing position can not be reflected, will be penetrated in the present embodiment
Actual condition parameter input casting blank solidification and the mathematical Model of Heat Transfer produced during nail operation, wherein middle Baogang coolant-temperature gage=1478
DEG C, crystallizer cooling water flow=3342L/min, pulling rate=0.47m/min, 27.1 DEG C of crystallizer inlet temperature, crystallizer goes out
32.5 DEG C of temperature of mouth, two cold cooling water inflow 70L/min, and cast by the point M of casting billet surface at nailing one and strand middle-range nailing
Base surface distance is LdPlace a point W, to be corrected with mathematical Model of Heat Transfer to casting blank solidification, by analysis understand, M points with
The relevant parameter of W points is exact value, therefore, it is possible to carry out precise calibration to Mathematical Modeling.(wherein M point distance casting blanks surface away from
From be 0, M points temperature be Tb1=961 DEG C；The distance on W point distance casting blanks surface is Ld, the temperature of M points is Td=1354 DEG C)
4) according to the result of calculation of Mathematical Modeling after correction, with the solidus temperature of bearing steel in the temperature field of casting blank section
Spend shell thickness L of distance of the position away from casting billet surface as strand nailing positionz=87.4mm, with the solidus temperature of bearing steel
The liquidus temperature position of position distance between bearing steel is spent as solid-liquid two-phase region distance：102.6mm, with the liquidus temperature of bearing steel
Distance of the position away from casting blank section center is used as wick-containing thickness：0mm.
Schematical above that the present invention and embodiments thereof are described, the description does not have restricted, institute in accompanying drawing
What is shown is also one of embodiments of the present invention, and actual structure is not limited thereto.So, if the common skill of this area
Art personnel enlightened by it, in the case where the invention objective is not departed from, is designed and the technical scheme without creative
Similar frame mode and embodiment, all should belong to protection scope of the present invention.
Claims (4)
1. a kind of determination method of casting blank solidification structure, it is characterised in that：Comprise the following steps：
(A) initial parameter determines；
(B) nailing experiment；
(C) casting billet surface thermometric；
(D) model selection；
(E) Model Measured；
(F) Mathematical Modeling；
In step (A), the material of material and nailing according to strand is calculated the solidus temperature T of strand respectivelySAnd nailing
Solidus temperature Td；
In step (B), nailing operation is carried out to strand using nailing tools, and measure the nailing injected be retained in it is complete in strand
Whole length Ld；
In step (C), casting blank surface temperature T at nailing is measured using temperature measuring equipmentb；
In step (D), 1) work as TS≥TdWhen, into step (E)；2) T is worked asS＜ TdWhen, into step (F)；
In step (E), the shell thickness L of strand nailing positionz=Ld；
In step (F), 1) establishment casting blank solidification and mathematical Model of Heat Transfer；2) at selection nailing in the point of casting billet surface one M and strand
Casting billet surface distance is L at nailingdThe one point W at place；3) in slab thickness direction grid division；4) reality when by nailing operation
Border duty parameter is input into above-mentioned Mathematical Modeling, and the parameter value above-mentioned Mathematical Modeling of correction for passing through M points and W points；5) according to correction
The result of calculation of Mathematical Modeling, determines casting blank solidification structure afterwards.
2. the determination method of casting blank solidification structure according to claim 1, it is characterised in that：The 1st of step (F)) substep
In rapid, casting blank solidification is with mathematical Model of Heat Transfer：
In formula, T：Strand temperature, K；t：Time, s；ρ：Density, kgm-3；λ：The coefficient of heat conduction, Wm- 1·K- 1；Cp：Specific heat,
J·Kg- 1·K- 1；ρ, λ and CpIt is the function of T；Tm：The fusing point of pure iron, K；TL：The liquidus temperature of strand, K；L：Strand coagulates
Gu latent heat, JKg- 1；fs, solid rate；TS：The solidus temperature of strand；
Boundary condition is：
In crystallizer
Two cold-zones
Air cooling zone
In formula, n：Coordinate x or y, m；β1：Coefficient；Lm：Crystallizer effective length, m；V：Pulling rate, mmin- 1；hZ：Secondary cooling is comprehensive
Close the coefficient of heat transfer；ε：Surface coefficient of blackness；Tb：Casting blank surface temperature, K；Tw：Cooling water temperature, K；Ta：Ambient air temperature, K；
σ：Stefan Boltzmann constant；h'：Air cooling zone convection transfer rate, Wm- 2·K- 1；T：Strand temperature, K；λ：Heat transfer system
Number, Wm- 1·K- 1。
3. the determination method of casting blank solidification structure according to claim 2, it is characterised in that：The 3rd of step (F)) substep
In rapid, N number of grid is divided in slab thickness direction, be then first grid at casting billet surface, represented at first grid
Thickness is 0, and strand center is n-th grid, and slab thickness is Ds, then the thickness for being represented at n-th grid isAssuming that
Away from casting billet surface LdThe grid number at place is k-th, then the thickness for being represented at k-th grid is
The 4th of step (F)) step by step in, be calculated the parameter value M (1, T that M points and W points are expressed with coordinate formb1), W (K,
Td), casting blank solidification and mathematical Model of Heat Transfer are corrected using above-mentioned parameter value, above-mentioned coordinate form is for (it is individual which point is in
Grid, point temperature value).
4. the determination method of casting blank solidification structure according to claim 3, it is characterised in that：The 5th of step (F)) substep
In rapid, according to the result of calculation of Mathematical Modeling after correction, with the solidus temperature position of strand in the temperature field of casting blank section
Distance away from casting billet surface as strand nailing position shell thickness Lz, the liquid with the solidus temperature position of strand away from strand
Liquidus temperature position as solid-liquid two-phase region distance, using distance of the liquidus temperature position of strand away from strand center as liquid
Core thickness.
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| CN201610214771.XA CN105855495B (en) | 2016-04-07 | 2016-04-07 | A kind of determination method of casting blank solidification structure |
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