CN107243611A - A kind of bloom continuous casting solidification end list roller depressing position determines method - Google Patents
A kind of bloom continuous casting solidification end list roller depressing position determines method Download PDFInfo
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- CN107243611A CN107243611A CN201710406218.0A CN201710406218A CN107243611A CN 107243611 A CN107243611 A CN 107243611A CN 201710406218 A CN201710406218 A CN 201710406218A CN 107243611 A CN107243611 A CN 107243611A
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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
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- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
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Abstract
Method is determined the present invention relates to steel continuous casting technical field, more particularly to a kind of bloom continuous casting solidification end list roller depressing position.The present invention proposes that bloom continuous casting solidification end list roller depressing position each optimal depressing position of solute element and the coupling of each solute element degree of segregation weight in poured cast steel are determined.So the optimal depressing position coupling of each solute element in steel is considered the degree of segregation of solute element in steel to determine continuous casting billet solidifying end list roller depressing position, it can do and targetedly calculate for the steel with different component and its content, determined without being tested according to site technique, and result of calculation is more accurate.
Description
Technical field
The present invention relates to steel continuous casting technical field, more particularly to a kind of bloom continuous casting solidification end list roll-in are the next
Put determination method.
Background technology
The square billet that strand cross dimension is more than 200mm × 200mm is referred to as bloom.Continuous casting billet in process of setting, with
Dendritic growth, solute element is discharged into liquid phase, is enriched in solidification end two-phase section.Due to solidification end solidification shrinkage,
Casting blank bulging, thermal stress and bulge cause the flowing of solidification end molten steel, promote solute element with molten steel in interior stream in a big way
It is dynamic, centre content of solute is ultimately caused apparently higher than other positions, forms center segregation.Center porosity is generally adjoint
Center segregation generation, strand center mass defect is caused.Center segregation of casting blank and center porosity can trigger a series of matter of steel
Amount problem：For high-carbon wire rod steel, rate increase is broken in drawing property reduction；For natural gas transmission pipeline steel, anti-hydrogen induced cracking
(HIC) ability declines, so as to cause to convey tracheal rupture；For drilling at the sea and platform structural steel, welding performance reduction etc..Cause
This continuous casting billet center segregation and center porosity seriously constrain the production of high-quality steel, enjoy the concern of metallargist.
Continuous casting billet solidifying end soft reduction technique is as the effective means of strand center porosity and center segregation is improved, in mistake
Go to achieve tremendous development in decades, and be widely used in continuous casting production process.But due to continuous casting billet solidifying end slighter compress
Amount is small, and casting blank deformation process extends and width spread is lost so that the drafts for being delivered to strand center is smaller, it is impossible to reach completely
To elimination center segregation of casting blank and loose purpose.In recent years, with the propulsion of China's steel industry upgrading paces, to height
The demand of quality steel is more and more urgent, it is desirable to more and more higher.Continuous casting billet solidifying end weight Reduction Technology, makes full use of continuous casting billet to coagulate
Gu end high temperature, big thermograde this advantage, implement heavy reduction pressure, strand center pressure efficiency is improved, is being filled
While dividing compensation continuous casting billet solidifying end contraction, further deformed by casting blank solidification green shell, steel is concentrated in extruding two-phase section
Liquid upstream flowing (reverse along throwing direction), promotes concentration molten steel to re-mix dilution, so that the solidified structure of strand is more
Plus even compact, play a part of improving center segregation and reduce center porosity.This technology can be inclined at improvement strand center
On the basis of analysis, overall to improve strand central dense degree, the most of defect of healing is that low compression ratio rolling creates good conditions.
Early in 1980, Japanese Kawasaki iron companies Mizushima steel mills 3# blooms circular-arc type continuous casting machine was solidifying
Gu end installs a pair of flat anvils and realizes continuous forging (Continuous Forging) function, drafts is up to 40~140mm, pressure
Bottom is set to fsWhen=0.8, center segregation of casting blank and it is loose be improved significantly.Nippon is proposed using control face pressure
Lower technology (Controlled Plane Reduction).The technology is in slab solidification end using two mobile chopping blocks
(Bar) strand is not solidified to support and depress, can be good at suppressing flowing and the compensation solidification shrinkage of solidification end molten steel, plate
Base center segregation and center porosity improve obvious.In recent years, Japanese Sumitomo metals, which are proposed, improves the loose PCCS of strand
Technique (Porosity Control of Casting Slab), the technique is in fs>Implement big pressure when 0.8, can effectively be cured
The defect such as alloying base internal shrinkage, loose.South Korea POSCO is proposed to be completed under solidification end weight using enhancing fan-shaped section
POSharp technologies, the technology is in depressing position fsWhen=0.3-0.6 is implemented, strand center can be controlled to greatest extent,
And it is possible to prevente effectively from strand depresses the generation of crackle.Domestic Northeastern University is proposed under the weight of bloom continuous casting convex roller end
Technology, and enhancing wide and thick slab fan-shaped section end weight Reduction Technology, can significantly improve strand pressure efficiency, further improve
Strand central dense degree.Beijing science and technology university proposes to be simulated using TherCast softwares to Solidification Process in Continuous Slab Casting
And experiment, research shows：In depressing position fsWhen under=0.8 implementation weight, strand internal segregation improves to no effect, but is conducive to
Improve loose, and it is smaller to produce internal fissure probability.Anshan iron and steel plant billet caster is real after withdrawal straightening machine capability improving transformation is carried out
The big press function in small billet end is showed, the technology application shows：In depressing position fs=0.56 implements continuous casting billet solidifying end
Under single roll-in, center segregation of casting blank and loose improvement are obvious.
Technical progress and application show under above continuous casting billet solidifying end weight, no matter use which kind of weight Reduction Technology,
Suitable continuous casting billet solidifying end is implemented obtain good effect under weight.It is either generous from the point of view of technical characterstic
Complete the disposable implementation under weight under base or sheet billet continuous casting solidification end weight in short-range using single devices,
And effect is obvious under weight；From the point of view of screwdown device feature, beyond the heavy screwdown device of early stage is all used independently of straightening system
Extra screwdown gear implement (such as：Japanese Kawasaki iron companies continuous forging technology and Nippon Steel's chain of command pressure
Technology is required for increasing the stronger forging press of pressure ability), with the lifting of tension leveller of continuous casting machine ability, modern continuous casting and solidifying end
Big Reduction Technology is held all directly to implement pressure using pulling-straightening equipment, it is high and the characteristics of control flexible with equipment control accuracy, and
Process implementing is convenient under weight and effect is obvious.As can be seen here, with the lifting of continuous casting billet pulling-straightening equipment ability, casting blank solidification end
The precondition that weight Reduction Technology is implemented at end has obtained abundant guarantee, and its key is in suitable continuous casting billet solidifying end position
Implement pressure, particularly large square bland continuous-casting machine pulling-straightening equipment arrangement more sparse (each withdrawal straightening machine is at a distance of 1.5m or so), its end
The selection of depressing position is most important.But outside arriving at present, nearly all position of soft reduction is tested according to site technique
It is determined that, and from the point of view of existing report, continuous casting billet solidifying end depressing position is far from each other, this hinders continuous casting billet solidification end significantly
Hold the promotion and application of Reduction Technology.
The content of the invention
(1) technical problem to be solved
Method, this method are determined it is an object of the invention to provide a kind of bloom continuous casting solidification end list roller depressing position
Different casting blank can be directed to and targetedly calculate determination depressing position.
(2) technical scheme
In order to achieve the above object, the main technical schemes that the present invention is used include：
The present invention provides a kind of bloom continuous casting solidification end list roller depressing position and determines method, specifically, passing through strand
In the optimal depressing position of each solute element coupled with the degree of segregation weight of each solute element determination bloom continuous casting solidification end
The single roller depressing position in end.
According to the present invention, following steps are specifically included：
S1, the optimal depressing position for obtaining each solute element i in strandNumerical value；
S2, the degree of segregation weight φ for obtaining each solute element i in strandiNumerical value；
S3, the optimal depressing position according to each solute element iNumerical value and each solute element i degree of segregation weight
φiNumerical value, according to equation below calculate bloom continuous casting solidification end list roller depressing position
According to the present invention, step S1 includes following sub-step：
S1.1, the solid Density ρ obtained in strands, density of liquid phase ρl, concentration Cs of the solute element i in solid phases,i, solute
The concentration Cs of element i in the liquid phasel,i, pressure efficiency eta, strand width W, drafts Δ H, casting blank solidification end list roller depressing position
Locate wick-containing area S numerical value；
S1.2, each solute element i is directed to, by the solid Density ρ determined in step S1.1s, density of liquid phase ρl, solute
Concentration Cs of the element i in solid phases,i, the concentration Cs of solute element i in the liquid phaseliNumerical value bring formula into respectively
Strand center two-phase section is averaged after obtaining under the continuous casting billet solidifying end list roll-in for corresponding respectively to each solute element i
Solute segregation rate Ki, single roller depressed position two-phase section solid rate fsWith the K between two-phase section solute elimination factor ε under single roll-ini-
fs- ε functional relations；
S1.3, by the pressure efficiency eta determined in step S1.1, strand width W, drafts Δ H, casting blank solidification end list roller
Depressed position wick-containing area S numerical value brings formula into
Obtain two-phase section solute elimination factor ε and single roller depressed position two-phase section solid rate f under single roll-insε-fsFunction
Relation；
S1.4, by ε-fsFunctional relation brings the K corresponding with each solute element i into respectivelyi-fs- ε functional relations, are divided
Not Dui Yingyu under each solute element i continuous casting billet solidifying end list roll-in after the average solute segregation rate K of strand center two-phase sectioniWith
Single roller depressed position two-phase section solid rate fsBetween Ki-fsFunctional relation；
S1.5, for the corresponding K of each solute element ii-fsFunctional relation, casts after obtaining under continuous casting billet solidifying end list roll-in
The average solute segregation rate K of base center two-phase sectioniTake single roller depressed position two-phase section solid rate f during minimum values, single roll-in
Two-phase section solid rate f at lower positionsFor optimal depressing position
According to the present invention, in step s 2：
When the percentage by weight of carbon is less than 0.53wt%, each solute element i degree of segregation weight φiFor
Wherein, kδ/lFor solute distribution coefficient at delta ferrite/liquid interface；
When the percentage by weight of carbon is more than or equal to 0.53wt%, each solute element i degree of segregation weight φiFor
Wherein, kγ/lFor solute distribution coefficient at γ austenites/liquid interface.
According to the present invention, corresponding to solute element carbon：kδ/lTake 0.19, kγ/lTake 0.34；Corresponding to solute element silicon：kδ/l
Take 0.77, kγ/lTake 0.52；Corresponding to solute element manganese：kδ/lTake 0.76, kγ/lTake 0.78；Corresponding to solute element phosphorus：kδ/lTake
0.23, kγ/lTake 0.13；Corresponding to solute element sulphur：kδ/lTake 0.05, kγ/lTake 0.035.
(3) beneficial effect
The beneficial effects of the invention are as follows：
The present invention proposes that bloom continuous casting solidification end list roller depressing position each solute element in poured cast steel is most preferably pressed
Lower position and the coupling of each solute element degree of segregation weight are determined.So the optimal depressing position of each solute element in steel is coupled
Consider the degree of segregation of solute element in steel to determine continuous casting billet solidifying end list roller depressing position, can be directed to has different groups
Point and its steel of content do and targetedly calculate, determined without being tested according to site technique, and result of calculation is more accurate.
Brief description of the drawings
Fig. 1 is the stream that bloom continuous casting solidification end list roller depressing position in embodiment one and embodiment two determines method
Journey schematic diagram；
Flow chart is embodied to calculate optimum position under bloom continuous casting base solidification end list roll-in in Fig. 2；
Fig. 3 is bloom continuous casting schematic diagram；
Fig. 4 is schematic diagram under bloom continuous casting solidification end list roll-in；
Fig. 5 is two-phase section average solute segregation rate K in rear strand center under bloom continuous casting solidification end list roll-iniChange
Rule schematic diagram.
Embodiment
In order to preferably explain the present invention, in order to understand, below in conjunction with the accompanying drawings, by embodiment, to this hair
It is bright to be described in detail.
Embodiment one
In the present embodiment, by taking section 320mm × 410mm high-strength weathering steel YQ450NQR1 as an example, the degree of superheat is poured into a mould
For 25 DEG C, pulling rate is 0.75m/min.High-strength weathering steel YQ450NQR1 main components are as shown in table 1.
Table 1
| Composition | C | Si | Mn | P | S |
| Content (wt.%) | 0.12 | 0.40 | 1.35 | 0.014 | 0.014 |
With reference to Fig. 1, the bloom continuous casting solidification end list roller depressing position provided in the present embodiment determines that method is included such as
Lower step：
S1, the optimal depressing position for obtaining each solute element i in strandNumerical value.Wherein, each solute element i refers to
It is main component, for micro constitutent, can consider.
Specifically include following sub-step：
S1.1, those skilled in the art can directly or indirectly get the solid Density ρ in strand according to known technologys、
Density of liquid phase ρl, concentration Cs of the solute element i in solid phases,i, the concentration Cs of solute element i in the liquid phasel,i, pressure efficiency eta, casting
Base width W, drafts Δ H, casting blank solidification end list roller depressed position wick-containing area S numerical value.
S1.2, each solute element i (i.e. C, Si, Mn, P, S) is directed to, by the solid Density ρ determined in step S1.1s、
Density of liquid phase ρl, concentration Cs of the solute element i in solid phases,i, the concentration Cs of solute element i in the liquid phasel,iNumerical value band respectively
Enter formula
Strand center two-phase section is averaged after obtaining under the continuous casting billet solidifying end list roll-in for corresponding respectively to each solute element i
Solute segregation rate Ki, single roller depressed position two-phase section solid rate fsWith the K between two-phase section solute elimination factor ε under single roll-ini-
fs- ε functional relations, i.e., for each solute element i (i.e. C, Si, Mn, P, S), there is a Ki-fs- ε functional relations.
S1.3, by the pressure efficiency eta determined in step S1.1, strand width W, drafts Δ H, casting blank solidification end list roller
Depressed position wick-containing area S numerical value brings formula into
Obtain two-phase section solute elimination factor ε and single roller depressed position two-phase section solid rate f under single roll-insε-fsFunction
Relation, the ε-fsFunctional relation is applied to all solute element i.
S1.4, by ε-fsFunctional relation brings the K corresponding with each solute element i into respectivelyi-fs- ε functional relations, are divided
Not Dui Yingyu under each solute element i continuous casting billet solidifying end list roll-in after the average solute segregation rate K of strand center two-phase sectioniWith
Single roller depressed position two-phase section solid rate fsBetween Ki-fsFunctional relation, i.e., for each solute element i (i.e. C, Si,
Mn, P, S), there is a Ki-fsFunctional relation.
S1.5, for the corresponding K of each solute element ii-fsFunctional relation, casts after obtaining under continuous casting billet solidifying end list roll-in
The average solute segregation rate K of base center two-phase sectioniTake single roller depressed position two-phase section solid rate f during minimum values, single roll-in
Two-phase section solid rate f at lower positionsFor optimal depressing positionWherein it is possible to KiFor ordinate, with fsDrawn for abscissa
Ki-fsThe corresponding curve map of functional relation, chooses K in figureiF when being worth minimum pointsValue conductIt is of course also possible to use
Software for calculation is directly tried to achieve.
According to above-mentioned steps, the optimal depressing position for obtaining each solute element in steel is calculatedIt is shown in Table 2.
Table 2
S2, the degree of segregation weight φ for obtaining each solute element i in strandiNumerical value.Specially：
In the present embodiment, as can be seen from Table 1, the percentage by weight of carbon is 0.12wt%, less than 0.53wt%.
Now, delta ferrite is formed from molten steel first during high-strength weathering steel YQ450NQR1 continuous casting and solidifyings, then occurs peritectoid
React (L+ delta ferrites → γ austenites), solute segregation degree is by delta ferrite/liquid interface solute distribution coefficient k δ/l institutes
Determine, each solute element i degree of segregation weight φiFor
Wherein, kδ/lFor solute distribution coefficient at delta ferrite/liquid interface, corresponding to solute element carbon：kδ/lTake 0.19；
Corresponding to solute element silicon：kδ/lTake 0.77；Corresponding to solute element manganese：kδ/lTake 0.76；Corresponding to solute element phosphorus：kδ/lTake
0.23；Corresponding to solute element sulphur：kδ/lTake 0.05.Thus, each solute element i degree of segregation weight φ is calculatediIt is shown in Table 3.
Table 3
| Composition | C | Si | Mn | P | S |
| φi | 5.26 | 1.30 | 1.32 | 4.35 | 20 |
S3, the optimal depressing position according to step S1 and step the S2 each solute element i calculatedNumerical value and each
Solute element i degree of segregation weight φiNumerical value, calculate bloom continuous casting solidification end list roll-in according to equation below the next
Put
FinallyFor 0.85, according to the shrinkage cavity of strand transverse direction low power non-stop layer, centre burst defect, casting after this Numerical implementation
Base Central Carbon Segregation index<1.05, center porosity defect is graded≤1.0 grades.
Embodiment two
With reference to Fig. 1, in the present embodiment, by taking section 380mm × 280mm Properties of Heavy Rail Steel U75 continuous casting billets as an example, cast is overheated
Spend for 25 DEG C, pulling rate is 0.68m/min.Properties of Heavy Rail Steel U75 main components are as shown in table 4.
Table 4
| Composition | C | Si | Mn | P | S |
| Content (wt.%) | 0.76 | 0.64 | 0.89 | 0.014 | 0.014 |
The bloom continuous casting solidification end list roller depressing position provided in the present embodiment determines that method comprises the following steps：
S1, the optimal depressing position for obtaining each solute element i in strandNumerical value.Wherein, each solute element i refers to
It is main component, for micro constitutent, can consider.
Specifically include following sub-step：
S1.1, those skilled in the art can directly or indirectly get the solid Density ρ in strand according to known technologys、
Density of liquid phase ρl, concentration Cs of the solute element i in solid phases,i, the concentration Cs of solute element i in the liquid phasel,i, pressure efficiency eta, casting
Base width W, drafts Δ H, casting blank solidification end list roller depressed position wick-containing area S numerical value.
S1.2, each solute element i (i.e. C, Si, Mn, P, S) is directed to, by the solid Density ρ determined in step S1.1s、
Density of liquid phase ρl, concentration Cs of the solute element i in solid phases,i, the concentration Cs of solute element i in the liquid phasel,iNumerical value band respectively
Enter formula
Two-phase section average solute in strand center after obtaining under the continuous casting billet solidifying end list roll-in corresponding to each solute element i
Segregation rate Ki, single roller depressed position two-phase section solid rate fsWith the K between two-phase section solute elimination factor ε under single roll-ini-fs-ε
Functional relation, i.e., for each solute element i (i.e. C, Si, Mn, P, S), there is a Ki-fs- ε functional relations.
S1.3, by the pressure efficiency eta determined in step S1.1, strand width W, drafts Δ H, casting blank solidification end list roller
Depressed position wick-containing area S numerical value brings formula into
Obtain two-phase section solute elimination factor ε and single roller depressed position two-phase section solid rate f under single roll-insε-fsFunction
Relation, the ε-fsFunctional relation is applied to all solute element i.
S1.4, by ε-fsFunctional relation brings the K corresponding with each solute element i into respectivelyi-fs- ε functional relations, acquisition pair
Should be in two-phase section average solute segregation rate K in rear strand center under each solute element i continuous casting billet solidifying end list roll-iniWith single roller
Depressed position two-phase section solid rate fsBetween Ki-fsFunctional relation, i.e., for each solute element i (i.e. C, Si, Mn, P,
S), there is a Ki-fsFunctional relation.
S1.5, for the corresponding K of each solute element ii-fsFunctional relation, casts after obtaining under continuous casting billet solidifying end list roll-in
The average solute segregation rate K of base center two-phase sectioniTake single roller depressed position two-phase section solid rate f during minimum values, single roll-in
Two-phase section solid rate f at lower positionsFor optimal depressing positionWherein it is possible to KiFor ordinate, with fsDrawn for abscissa
Ki-fsThe corresponding curve map of functional relation, chooses K in figureiF when being worth minimum pointsValue conductIt is of course also possible to use
Software for calculation is directly tried to achieve.
According to above-mentioned steps, the optimal depressing position for obtaining each solute element in steel is calculatedIt is shown in Table 5.
Table 5
S2, the degree of segregation weight φ for obtaining each solute element i in strandiNumerical value.Specially：
In the present embodiment, as seen from Table 4, the percentage by weight of carbon is 0.76wt%, more than 0.53wt%.This
When, γ austenites are directly formed during Properties of Heavy Rail Steel U75V continuous casting and solidifyings from molten steel, solute segregation degree is by γ austenites/liquid
Solute distribution coefficient k at boundaryγ/lDetermined, each solute element i degree of segregation weight φiFor
Wherein, kγ/lFor solute distribution coefficient at γ austenites/liquid interface, corresponding to solute element carbon：kγ/lTake
0.34；Corresponding to solute element silicon：kγ/lTake 0.52；Corresponding to solute element manganese：kγ/lTake 0.78；Corresponding to solute element phosphorus：
kγ/lTake 0.13；Corresponding to solute element sulphur：kγ/lTake 0.035.Thus, each solute element i degree of segregation weight φ is calculatedi
It is shown in Table 6.
Table 6
| Composition | C | Si | Mn | P | S |
| φi | 2.94 | 1.92 | 1.82 | 7.69 | 28.57 |
S3, the optimal depressing position according to step S1 and step the S2 each solute element i calculatedNumerical value and each
Solute element i degree of segregation weight φiNumerical value, calculate bloom continuous casting solidification end list roll-in according to equation below the next
Put
FinallyFor 0.88, according to the shrinkage cavity of strand transverse direction low power non-stop layer, centre burst defect, casting after this Numerical implementation
Base Central Carbon Segregation index<1.08, center porosity defect is graded≤1.0 grades.
Summary embodiment one and embodiment two, the present invention propose bloom continuous casting solidification end list roller depressing position by
Each optimal depressing position fs of solute element and each solute element i degree of segregation weights φ in poured cast steeliCoupling is determined.So will
The optimal depressing position coupling of each solute element considers the degree of segregation of solute element in steel to determine continuous casting billet solidification end in steel
The single roller depressing position in end, can do for the steel with different component and its content and targetedly calculate, without according to scene
Technological experiment is determined, and result of calculation is more accurate.
Further, in order to more clearly from illustrate the implication of the formula applied in above-described embodiment one and embodiment two,
Process and mentality of designing are set up below in conjunction with what Fig. 2 introduced above-mentioned formula.
Step 1, according to concrete technology condition, casting machine characteristic parameter (length of mould, strand size, two Leng Ge areas are determined
Position and length, pressure roller position, pressure roll neck etc.), casting parameters (cast temperature, pulling rate, crystallizer cooling current
Amount, import and export the temperature difference, each area's flow of secondary cooling water etc.), the thermal physical property parameter of steel (density, thermal conductivity factor, specific heat, enthalpy change, etc.).
Step 2, Casting is calculated.
Casting temperature field computation
Fig. 3 is continuous casting schematic diagram, to save the calculating time, and the 1/4 of selection strand cross section is used as research object, steel continuous casting
The two-dimentional solidification and heat transfer governing equation of process is as follows：
Wherein：T is temperature, DEG C；ρ is density, kg/m3；cpFor thermal capacitance, J/ (kg DEG C)；keffFor thermal conductivity factor, W/ (m
℃)；L is latent heat of solidification, J/kg；fsFor solid phase fraction；T is time, s；X and y are respectively the wide face in strand cross section and leptoprosopy side
To length, m.
In order to calculate whole casting stream strand Temperature Distribution, whole casting stream is divided into sequential cells section, section is resulted from
At continuous cast mold meniscus, whole section initial temperature is equal with cast temperature.Subsequent cell section is transported with pulling rate identical
Dynamic speed is moved downward from crystallizer, until disappearing to continuous casting billet flame cut place.Unit cutting temperature uses effective volume method
And boundary condition is determined at combination diverse location：
(a) crystallizer
In crystallizer cooling zone, Billet uses the empirical equation of the propositions such as Davies
Wherein：Q is heat flow density, W/m2；Z be from meniscus with a distance from, m；vcFor pulling rate, m/s.
(b) two cold-zone
Secondary cooling area for continuous casting heat transfer boundary condition is complex, and two cold-zone casting billet surface heat transfers include：Casting billet surface spoke
Radiating, casting billet surface is penetrated to contact with support roller with the forced-convection heat transfer between cooling water smoke, the heat transfer of cooling water heating evaporation, strand
Heat conduction etc..To simplify the process, by heat transfer type bands such as two cold-zone cooling water heating evaporation heat transfers, strand and support roller thermal contact conductances
The heat walked, is considered by the way of increase convection coefficient.Therefore the heat transfer of secondary cooling area for continuous casting can be simplified shown as to spreading
Heat and radiant heat transfer sum.
Q=h (Tsurf-Tamb)+σεb[(Tsurf+273.15)4-(Tamb+273.15)4] (3)
Wherein：H is comprehensive convection transfer rate, W/ (m2·℃)；TsurfFor casting blank surface temperature, DEG C；TambFor environment temperature
Degree, DEG C；σ is Stefan-Boltzman constants 5.67 × 10-8W/(m2·K4)；εbFor casting billet surface coefficient of blackness, 0.8 is taken.
(c) air cooling zone
In air cooling zone, casting billet surface is mainly outwards radiated in the way of radiation, and the heat transfer formula of radiation heat transfer is as follows：
Q=σ ε [(Tsurf+273.15)4-(Tamb+273.15)4] (4)
Step 3, acquisition strand center cooldown rate, center solid rate
Combining unit section present position and the time relationship of experience, each node of unit section is tried to achieve using display calculus of finite differences
Temperature, so as to try to achieve strand center cooldown rate, i.e.,
Wherein, cooldown rate centered on CR, DEG C/s；TcFor node temperature, DEG C.
Strand center solid rate f can equally be tried to achieves, i.e.,
In formula：TlFor liquidus temperature, DEG C；TsFor solidus temperature, DEG C.
Step 4, calculating continuous casting billet two-phase section solute segregation
Shunk as shown in figure 4, can effectively supplement solidification of molten steel using single roll-in under type in continuous casting billet solidifying end, together
When can also extrude the concentration molten steel rich in solute element in two-phase section by deforming green shell, and upstream (throwing opposite direction) is discharged,
So as to reach elimination center segregation, the purpose of strand central dense degree is improved.Before under single roll-in, single roller depressed position two-phase section
Volume is Vm, average solute density is ρm, average solute element i content is Cin,i, solid volume is Vs, solid Density is ρs,
Concentration of the solute element i in solid phase is Cs,i, liquid phase volume is Vl, density of liquid phase is ρl, the concentration of solute element i in the liquid phase
For Cl,i, following relational expression can be obtained according to principle of solute mass conservation：
ρmVmCin,i=ρsVsCs,i+ρlVlCl,i (6)
The average solute density ρ of two-phase sectionmWith solid Density ρ in two-phase sectionsWith density of liquid phase ρlMeet following relational expression：
ρm=fsρs+flρl (7)
Wherein：fsAnd flRespectively solid volume point rate and liquid phase volume point rate, can be asked by following formula (8) and formula (9) respectively
：
Formula (7)~(9) are substituted into formula (6), it is collated must to depress the average solute concentration C of preceding two-phase sectionin,iExpression formula
It is as follows：
When implementing single roller slighter compress, casting blank shell, which is deformed, causes two-phase section volume to reduce Vd, so that in two-phase section
Concentration molten steel upstream extrude discharge.Assuming that the average solute concentration of remaining two-phase section is Cout,i, again according to Solute mass
Conservation principle can obtain following relational expression：
ρm(Vs+Vl-Vd)Cout,i=ρsVsCs,i+ρl(Vl-Vd)Cl,i (11)
And two-phase section solute elimination factor ε is represented by pressure casting blank deformation so that two-phase section reduces volume V under single roll-ind
With the original liquid phase volume V of two-phase sectionlThe ratio between：
Wherein, Vd=η W Δs H；Vl=(1-fs)S。
Formula (7)~(9) and formula (12) are substituted into formula (11), it is collated to obtain the rear average solute density of two-phase section under single roll-in
Cout,iExpression formula is as follows：
Therefore under single roll-in after, the average solute segregation rate K of strand center two-phase sectioniIt is dense for the average solute of two-phase section after pressure
Spend Cout,iWith the average solute concentration C of two-phase section before pressurein,iThe ratio between：
Due to solid volume point rate fsWith liquid phase volume point rate flMeet following relational expression：
fl=1-fs (15)
So after formula (15) substitution formula (14) can obtain under continuous casting billet solidifying end list roll-in, strand center two-phase section is put down
Equal solute segregation rate KiExpression formula it is as follows：
Fig. 5 is two-phase section average solute segregation rate K in rear strand center under bloom continuous casting solidification end list roll-iniChange
Rule.The present invention defines different solute element gross segregation rate minimum (Ki,min) corresponding to single roller depressed position strand center
Solid rate isThat is the optimal depressing position of the element.When single roller depressed positionWhen, with fsIncrease,
In continuous casting billet solid-liquid two-phase region while dendritic growth, solute element is discharged constantly into liquid phase, causes interdendritic solute element
Enrichment, the increase of solute microsegregation index.Although pressure efficiency has reduction trend with the increase of solid rate, pressure can have
Effect ground makes the extruding discharge of interdendritic segregation solute element, and two-phase section macroscopic view solute segregation rate is with the increase of depressing position solid rate
And reduce, so as to effectively prevent center segregation of casting blank from being formed.When single roller depressing positionWhen, with the increasing of solid rate
Plus, the mobility of residual molten steel is deteriorated and pressure efficiency reduction, is unfavorable for the extruding that pressure is rich in segregation molten steel to solidification end
Discharge, and segregation solute element in interdendritic part starts solidification, and solute element gross segregation is initially formed, and pressure can not
Effectively suppress the formation of solute element segregation.Therefore solute element i optimal depressing position isBut different solute elements
Optimal depressing positionIt is not quite similar.
Step 6, calculating solidification precipitated phase
Because solute element segregation is relevant with separating out solid-solution degree during solidification of molten steel in steel, each solute element in steel
Degree of segregation weight φiDetermine that solute element i exists by solvabilities of the solute element i in solid phase during molten steel solidification
Solubility is lower in solid phase, and solute segregation is more serious；Solute element i solubility in solid phase is higher, and solute segregation is lighter.I.e.：
Solute distribution coefficient is smaller at solid liquid interface during molten steel solidification, and solute is discharged more from solid phase to liquid phase, and solute segregation is more serious.
Therefore, each solute element degree of segregation weight φ in the steeliCan the distribution of solid liquid interface solute be during molten steel solidification
Number kiInverse determined.
When the percentage by weight of carbon is less than 0.53wt%, molten steel solidifies to form delta ferrite first, solute segregation journey
Degree is by delta ferrite/liquid interface solute distribution coefficient kδ/lDetermined, i.e.,:
When the percentage by weight of carbon is more than or equal to 0.53wt%, molten steel solidification formation γ austenites, solute segregation
Degree is by γ austenites/liquid interface solute distribution coefficient kγ/lDetermined, i.e.,:
Major solute element solute distribution coefficient is shown in Table 7 in steel.
Table 7
| Element | C | Si | Mn | P | S |
| kδ/l | 0.19 | 0.77 | 0.76 | 0.23 | 0.05 |
| kγ/l | 0.34 | 0.52 | 0.78 | 0.13 | 0.035 |
Step 7, calculating solute segregation degree weight φi
Determine that the percentage by weight of carbon is less than 0.53wt% and is still more than or equal to after 0.53wt%, according to above-mentioned two
Individual formula calculates solute segregation degree weight φi。
8th, continuous casting billet solidifying end list roller depressing position is calculated
Therefore, bloom continuous casting solidification end list roller depressing position each optimal depressing position of solute element in poured cast steel
fs,iWith each solute element degree of segregation weight φiDetermined, i.e.,：
To sum up, calculated according to Casting, obtain bloom center cooldown rate and solid rate, be used as continuous casting billet
The input condition that two-phase section center segregation is calculated.Calculate, quantitatively determined at diverse location with reference to continuous casting billet two-phase section center segregation
Implement under single roll-in, strand center solute segregation improves degree, obtain the different optimal depressing positions of solute elementIn this base
On plinth, during solidification of molten steel, precipitated phase (δ or γ phases) first determines solute segregation degree.So as to obtain bloom company
Cast optimum position under solidification end list roll-in.Pressure is implemented in the position can not only effective compensation continuous casting billet solidification shrinkage, moreover it is possible to
The concentration molten steel for enough extruding two-phase section solute element by casting blank deformation is discharged, so that center segregation of casting blank is effectively improved,
Improve strand central dense degree.
In general, the present invention causes to be rich in two-phase section based on continuous casting billet solidifying end pressure extruding strand wick-containing deformation
Upstream (throwing opposite direction) discharges this principle to the concentration molten steel of solute element, establishes under continuous casting billet solidifying end list roll-in
Be averaged solute segregation rate model afterwards, has quantitatively determined the optimal depressing position of each solute element in steel, and couples molten in consideration steel
The degree of segregation of prime element, more accurately to determine continuous casting billet solidifying end list roller depressing position.
Also, the present invention considers in steel during each solute element degree of segregation and molten steel solidification phase transformation to solute in steel
The influence of element segregation degree, so that for easy segregation element in elimination steel (such as：Carbon, sulphur etc.) the optimal depressing position offer of selection
Reliable method.
Also, the present invention considers the influence of composition and casting condition to steel process of setting solute segregation, Neng Gougen in steel
Continuous casting billet solidifying end depressing position is adjusted in real time according to continuous-casting conditions (composition etc. in steel), and application effect is stable, reduces industry
Experimentation cost, shortens the new product continuous casting process construction cycle, improves economic benefit.
Above content is only presently preferred embodiments of the present invention, for one of ordinary skill in the art, according to the present invention's
Thought, will change in specific embodiments and applications, and this specification content should not be construed as to the present invention
Limitation.
Claims (5)
1. a kind of bloom continuous casting solidification end list roller depressing position determines method, it is characterised in that pass through each solute in strand
The optimal depressing position of element couples determination bloom continuous casting solidification end list roll-in with the degree of segregation weight of each solute element
Lower position.
2. bloom continuous casting solidification end list roller depressing position according to claim 1 determines method, it is characterised in that tool
Body comprises the following steps：
S1, the optimal depressing position for obtaining each solute element i in strandNumerical value；
S2, the degree of segregation weight φ for obtaining each solute element i in strandiNumerical value；
S3, the optimal depressing position according to each solute element iNumerical value and each solute element i degree of segregation weight φi's
Numerical value, bloom continuous casting solidification end list roller depressing position is calculated according to equation below
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3. bloom continuous casting solidification end list roller depressing position according to claim 2 determines method, it is characterised in that
Step S1 includes following sub-step：
S1.1, the solid Density ρ obtained in strands, density of liquid phase ρl, concentration Cs of the solute element i in solid phases,i, solute element
The concentration Cs of i in the liquid phasel,i, pressure efficiency eta, strand width W, drafts △ H, casting blank solidification end list roller depressed position liquid
Core area S numerical value；
S1.2, each solute element i is directed to, by the solid Density ρ determined in step S1.1s, density of liquid phase ρl, solute element i
Concentration C in solid phases,i, the concentration Cs of solute element i in the liquid phasel,iNumerical value bring formula into respectively
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Segregation rate Ki, single roller depressed position two-phase section solid rate fsWith the K between two-phase section solute elimination factor ε under single roll-ini-fs-ε
Functional relation；
S1.3, by under the pressure efficiency eta determined in step S1.1, strand width W, drafts △ H, casting blank solidification end list roll-in
Wick-containing area S numerical value brings formula at position
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S1.4, by ε-fsFunctional relation brings the K corresponding with each solute element i into respectivelyi-fs- ε functional relations, it is right respectively to obtain
Should be in two-phase section average solute segregation rate K in rear strand center under each solute element i continuous casting billet solidifying end list roll-iniWith single roller
Depressed position two-phase section solid rate fsBetween Ki-fsFunctional relation；
S1.5, for the corresponding K of each solute element ii-fsFunctional relation, after obtaining under continuous casting billet solidifying end list roll-in in strand
The average solute segregation rate K of heart two-phase sectioniTake single roller depressed position two-phase section solid rate f during minimum values, single roll-in bottom
Put place two-phase section solid rate fsFor optimal depressing position
4. bloom continuous casting solidification end list roller depressing position according to claim 3 determines method, it is characterised in that
In step s 2：
When the percentage by weight of carbon is less than 0.53wt%, each solute element i degree of segregation weight φiFor
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Wherein, kδ/lFor solute distribution coefficient at delta ferrite/liquid interface；
When the percentage by weight of carbon is more than or equal to 0.53wt%, each solute element i degree of segregation weight φiFor
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5. bloom continuous casting solidification end list roller depressing position according to claim 4 determines method, it is characterised in that
Corresponding to solute element carbon：kδ/lTake 0.19, kγ/lTake 0.34；
Corresponding to solute element silicon：kδ/lTake 0.77, kγ/lTake 0.52；
Corresponding to solute element manganese：kδ/lTake 0.76, kγ/lTake 0.78；
Corresponding to solute element phosphorus：kδ/lTake 0.23, kγ/lTake 0.13；
Corresponding to solute element sulphur：kδ/lTake 0.05, kγ/lTake 0.035.
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| WO2020181575A1 (en) * | 2019-03-12 | 2020-09-17 | 东北大学 | Prediction method for behavior of bloom continuous casting reduction segregation using convex roller |
| CN112570675A (en) * | 2019-09-12 | 2021-03-30 | 上海梅山钢铁股份有限公司 | Method for determining minimum theoretical reduction in soft reduction process of wide and thick plate continuous casting slab |
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| CN113523216A (en) * | 2021-06-23 | 2021-10-22 | 中冶南方连铸技术工程有限责任公司 | Continuous casting single-roller heavy pressing control method and system |
| CN113500172B (en) * | 2021-06-23 | 2024-06-04 | 中冶南方连铸技术工程有限责任公司 | Method for determining optimal position under single-roller heavy pressure |
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| CN113500172B (en) * | 2021-06-23 | 2024-06-04 | 中冶南方连铸技术工程有限责任公司 | Method for determining optimal position under single-roller heavy pressure |
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