CN109783994B - Thick plate blank macrosegregation calculation method based on blank shell bulging and mechanical pressing - Google Patents
Thick plate blank macrosegregation calculation method based on blank shell bulging and mechanical pressing Download PDFInfo
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Abstract
The invention belongs to the field of thick slab continuous casting production, and particularly relates to a thick slab macrosegregation calculation method based on slab shell bulging and mechanical pressing. According to the invention, on the basis of considering the real shell deformation of the casting blank, a thick plate blank macrosegregation calculation model based on the bulge appearance of the asymmetric shell and the mechanical rolling of the solidification end is established, the calculation precision of the macrosegregation behavior in the thick plate blank is further improved, the influence rules of factors such as the mechanical rolling process parameters of the solidification end of the thick plate blank, the asymmetric distribution of the bulge of the shell of the casting blank and the like on the flow of enriched solute molten steel and the macrosegregation behavior are systematically researched, the data support is provided for making a reasonable casting system and rolling system, the practical application effect of the continuous casting thick plate blank solidification end rolling process is improved, and the technical problem of serious macrosegregation of the thick plate blank is solved.
Description
Technical Field
The invention belongs to the field of continuous casting production of thick plate blanks in the ferrous metallurgy industry, and particularly relates to a thick plate blank macrosegregation calculation method based on blank shell bulging and mechanical pressing.
Background
As continuous casting thick slabs are cast at a low pulling rate, the solidification rate is low, and as the section is widened and thickened, the internal cooling condition is deteriorated, the long-distance transmission of solute elements among dendrites is blocked and tends to be enriched due to the development of columnar dendrites, and serious macrosegregation is formed in the thick slabs. In the subsequent heating and rolling processes, macrosegregation defects of the thick slab cannot be effectively eliminated through high-temperature diffusion and rolling deformation, so that the quality of a final product is affected.
In the last century, students thought that bulging deformation in the solidification process of a casting blank can lead to enrichment of high-concentration solute liquid among dendrites in the center of the casting blank, and macrosegregation is formed under the effect of long-distance transmission. It can be seen that the bulging deformation behavior in the continuous casting process is a main influencing factor for causing the macrosegregation behavior of the center of the thick plate blank. The mechanical pressing technology of the continuous casting solidification tail end is used for promoting the reverse flow and secondary distribution of solute-enriched molten steel in the thick plate blank by changing the deformation behavior of the blank shell of the solidification tail end of the thick plate blank, so that the macrosegregation behavior in the thick plate blank is effectively improved.
To describe the effect of shell bulging deformation during continuous casting on casting blank macrosegregation, most researchers assumed the shape of the shell bulging to be a continuous sinusoidal curve (Steel Research International, vol.89 (2018), no.8, pp.1800194.). However, the true shape of the casting slab surface bulging between adjacent support rolls is not sinusoidal, and the maximum deformation deflection of the bulging topography is shifted back at the roll spacing centerline position of the adjacent support rolls (International Journal for Numerical Methods in Engineering, vol.25 (1988), no.1, pp.147-163.), which necessarily further affects segregation behavior. In recent years, the research of advanced smelting, continuous casting and technological equipment of northeast university gives accurate bulging deformation surface morphology (Metallurgical and Materials Transactions B, vol.49 (2018), no.3, pp.1346-1359.) and provides accurate bulging deformation morphology of casting blanks for researching the influence of bulging deformation on macrosegregation of thick plate blanks. In addition, as the mechanical depression of the solidification end increases, the bulging deformation behavior of the thick slab will be more obvious. The behaviors such as bulging deformation, solidification heat transfer, solute segregation and the like in the implementation process of large deformation are complex and changeable, the interaction among the phenomena is increasingly prominent and cannot be ignored, deep research and disclosure of the influence rule of the real deformation morphology of the blank shell on the macrosegregation inside the casting blank in the mechanical pressing process of the solidification tail end of the thick plate blank are urgently needed, and a macrosegregation behavior calculation model considering the real blank shell morphology of the thick plate blank is developed.
In view of the remarkable influence of shell bulging deformation and solidification end reduction on macrosegregation behavior of casting blanks, many researchers have paid attention to the field and have conducted related scientific research work.
Chinese patent CN200910103105.9 discloses an improved method of continuous casting slab center segregation based on analysis of the growth morphology of the solidified shell. The method simulates the growth morphology of a continuous casting billet solidified shell in the actual continuous casting production process through a continuous casting billet solidification two-dimensional heat transfer simulation model, researches the segregation forming area and the segregation degree of a casting billet, and realizes the improvement of the center segregation behavior of the casting billet. However, the study did not consider the influence of the shell bulging behavior during continuous casting on segregation behavior.
Chinese patent CN201110408098.0 discloses a method for improving center segregation of a 400mm extra thick slab. The optimal rolling reduction position and the optimal rolling reduction are determined through calculation, and in the optimal rolling reduction interval, the improvement effects of the rolling reduction, the rolling reduction position on the low-power rating of the casting blank and the C, S segregation ratio are determined by combining an industrial test. However, the study does not consider the shell bulging deformation behavior in the continuous casting process, and does not realize the simulation calculation of the casting blank segregation behavior under the combined action of the shell bulging deformation and the solidification end pressing.
The advanced solidification and melting process numerical simulation laboratory of the university of Ornithozium mining simulates the influence law of shell bulging deformation and solidification end soft-reduction process in continuous casting process on macrosegregation of a casting blank by assuming the shape of the casting blank bulging as a continuous sinusoidal curve (Metallurgical and Materials Transactions A, vol.45 (2013), no.3, pp.1415-1434.) and applying the soft-reduction process rolling deformation at the solidification end position. However, the assumption of the shell bulging morphology in the research cannot reduce the real shell bulging deformation to the greatest extent, and the shell bulging morphology in the solidification end soft-pressing process or the heavy-pressing process cannot be accurately described, so that the accuracy of macrosegregation calculation in the casting blank solidification process is greatly affected.
At present, a plurality of related technical patents and papers related to macroscopic heat transfer behaviors, pressing process designs and macroscopic segregation simulation calculation in the continuous casting process exist, but quantitative calculation methods considering macroscopic segregation behaviors of real blank shell deformation of thick slabs are still rarely reported.
Disclosure of Invention
The invention provides a thick plate blank macrosegregation calculation method based on blank shell bulging and mechanical rolling, which considers the real blank shell bulging deformation of a thick plate blank in the continuous casting process, systematically researches the influence rules of factors such as the mechanical rolling process parameters of the solidification tail end of the thick plate blank, the asymmetric distribution of the blank shell bulging of a casting blank and the like on the flowing of enriched solute molten steel and macrosegregation behaviors, has great theoretical guiding significance on improving the practical application effect of the continuous casting thick plate blank solidification tail end rolling process and solving the technical problem of serious macrosegregation of the thick plate blank.
The technical scheme of the invention is as follows:
a thick plate blank macrosegregation calculation method based on blank shell bulging and mechanical pressing comprises the following steps:
step 1: for a continuous casting thick slab with the thickness of 200-700 mm, calculating the shell deformation behavior of the thick slab based on the asymmetric bulging morphology and the solidification tail end mechanical pressing process in the thick slab continuous casting process by neglecting the expanding behavior of a casting blank shell;
step 2: a three-dimensional calculation model is built by selecting half thickness of a thick slab, and the continuous casting thick slab is divided into 5 calculation areas along the casting length, namely Zone 0, zone 1, zone2, zone 3 and Zone 4; wherein, zone 0 is a crystallizer section, zone 1 is an asymmetric drum belly section, zone2 and Zone 3 are asymmetric drum belly and mechanical pressing sections, and Zone 4 is a horizontal section;
because the rolling reduction of the mechanical rolling process of the solidification tail end and the roller spacing influence the bulging deformation of the casting blank, the asymmetric bulging morphology in the thick plate blank continuous casting process is fitted by using a sectional sine function curve; the calculation formula of the fitting of the asymmetric drum belly shape is as follows:
in the formula ,is the thickness of the slab under the influence of the asymmetric belly; k (k) n i The number of periods of the asymmetric belly profile curve in each calculation region is calculated; other calculation parameters for describing the appearance of the asymmetric belly are shown in table 1;
TABLE 1 calculation parameters for describing the morphology of asymmetric drum-belly
Step 3: the surface morphology formula of the shell of the continuous casting thick slab is as follows by combining the comprehensive effects of asymmetric bulging and mechanical pressing of a solidification tail end:
in the formulae (2) to (6), y 0 (x)、y 1 (x)、y 2 (x)、y 3(x) and y4 (x) Respectively representing the thickness of the slab in the zone 0 to zone 4 areas; t is the initial thickness of the thick plate blank; r is (r) a S Is the soft-press process depression in zone2 region; r is (r) a H Is the process reduction under heavy pressure in zone 3 region;
step 4: the surface speed formula of the slab blank shell parallel to the pulling speed direction in the Zone 0, zone 1 and Zone2 caused by the asymmetric belly-bulging morphology is as follows:
wherein ,representing the surface speeds of slab blank shells parallel to the pulling speed direction, which are caused by asymmetric belly-bulging morphology in Zone 0, zone 1 and Zone2 areas; />Representing the surface speeds of slab blank shells perpendicular to the pulling speed direction, which are caused by asymmetric belly-bulging morphology in Zone 0, zone 1 and Zone2 areas; v cast Represents the pull rate;
step 5: considering the effect of the mechanical depression of the solidification end, the surface velocity of the slab of the entire casting flow is formulated as follows:
in the formulas (8) to (13), and />Respectively representing the surface speeds of thick plate blank shells parallel to the pulling speed direction; /> and /> Respectively representing the surface speeds of thick plate blank shells perpendicular to the pulling speed direction;
step 6: in order to accurately depict the velocity variation inside a thick slab, the velocity formula inside the entire casting flow is expressed as follows:
in the formulas (14) to (17), and />Respectively represent thick plates parallel to the pulling speed directionBlank internal speed; /> and />Respectively representing the internal speed of the thick plate blank perpendicular to the pulling speed direction; /> and />Is the internal shape of the pasty area of the slab;
step 7: and performing coupling calculation among a solute conservation equation, a mass conservation equation, a momentum conservation equation and an energy conservation equation, wherein the equations are as follows:
in the formulas (18) to (21), i is a phase parameter in each transmission equation, as shown in table 2; f (f) i 、ρ i 、c i 、 and Hi Volume fraction, density, solute concentration, velocity and enthalpy of each phase, respectively; c (C) s 、M s 、D s 、H s The source items of a solute transport equation, a mass transport equation, a momentum transport equation and a heat transport equation are respectively adopted;
table 2 phase parameters in the transmission equations
The calculation process selects a PC-Simple algorithm, adjusts the calculation process to a second-order windward format after the first-order windward format is converged, sets a relaxation factor below 0.4 and controls a convergence residual error to be 10 -6 Hereinafter, the time step is set to 0.01 to 0.05s.
The beneficial effects of the invention are as follows: aiming at the continuous casting thick slab, the invention provides the asymmetric bulging morphology described by adopting a sectional sine function method based on the bulging deformation morphology of the real slab shell of the thick slab in the continuous casting process and the influence of the reduction of the solidifying tail end depressing process and the roller spacing on the slab shell deformation, so that the bulging deformation of the real slab shell of a casting blank is greatly reduced, the interaction relationship of behaviors such as solidification heat transfer, casting blank deformation, solute macrosegregation and the like is truly revealed, and the calculation precision of the macrosegregation behavior inside the thick slab is further improved. In addition, the invention fills the research blank on the quantitative calculation method of macrosegregation of the continuous casting thick plate blank based on the blank shell bulging and the mechanical pressing of the solidification end, and enriches the theoretical system of the macrosegregation behavior control process in the continuous casting process.
Drawings
FIG. 1 is a schematic diagram of a continuous casting thick slab casting flow calculation region division;
FIG. 2 is an asymmetric bulging graph taking into account the true shell morphology of a cast slab;
FIG. 3 shows the thickness variation trend of a continuous casting thick slab shell;
FIG. 4 is an illustration of the effect of sinusoidal bulging morphology and asymmetric bulging morphology on macrosegregation;
FIG. 5 is a graph showing the effect of different depressing mechanisms on the lateral macrosegregation behavior of a slab;
FIG. 6 is a graph showing the effect of different depressing mechanisms on longitudinal macrosegregation behavior of a slab.
Detailed Description
Embodiments of the present invention will be described in further detail below with reference to the accompanying drawings.
As shown in fig. 1, for the solidification process of the continuous casting thick plate blank, the example establishes a geometric calculation model considering the actual casting blank shell bulging deformation and the mechanical pressing process of the solidification tail end. In order to save storage space and calculation amount, the vertical section of the actual casting blank along the casting flow direction is symmetrically processed. In this geometric model, the initial thickness of the thick slab was 140mm and the continuous casting calculation area length was 30,430mm. The number of grids of the whole calculation area is about 3,400,000, and each grid has a size of 5mm 2 . The longitudinal region dividing parameters corresponding to the model are shown in table 3 in combination with the field production practice;
TABLE 3 calculation model longitudinal region partitioning
Considering that the roller spacing of the secondary cooling section (Zone 1), the solidification end light reduction section (Zone 2) and the solidification end heavy reduction section (Zone 3) is different in the actual production process of the continuous casting thick slab, the influence on the shell bulging morphology of the thick slab is also different. At this time, considering the process of light pressing and heavy pressing of the solidification end, the calculation formula of the fitting of the asymmetric bulge morphology is as follows:
the specific implementation parameters of formula (1) are shown in table 4;
table 4 calculating parameters of asymmetric drum belly morphology
As shown in fig. 3, the solidification end point of the continuous casting thick slab is calculated to be 24.40m away from the meniscus of the crystallizer, and the macrosegregation of the casting blank is researched, and only the liquid core area before the solidification end point is needed to be paid attention to; the reduction profiles of the continuous casting solidification end light-reduction and heavy-reduction processes for Zone2 and Zone 3 are shown in table 5;
TABLE 5 distribution of reduction corresponding to different reduction processes
The application example compares macrosegregation behaviors inside thick plate blanks under the influence of different pressing processes so as to reveal an improved action mechanism of the pressing processes, pressing quantity and pressing positions on the macrosegregation behaviors.
The model is adopted to perform macrosegregation behavior simulation calculation under the influence of bulging deformation of the shell of the continuous casting thick slab, as shown in fig. 4. It can be obtained that when the influence of sinusoidal bulging (traditional calculation method) and asymmetric bulging (description of real shell deformation morphology of casting blank) on macrosegregation is carried out, the macrosegregation of the casting blank considering the asymmetric bulging morphology is larger than that of the casting blank considering the sinusoidal bulging morphology, and the macrosegregation value calculated by the traditional calculation method is often smaller.
By using the model, the macrosegregation behavior of the interior of the casting blank under different rolling mechanisms (no rolling, light rolling, heavy rolling) is calculated, as shown in fig. 5. It can be obtained that under the action of the continuous casting solidification end soft reduction process, the solidification shell is forced to extrude towards the casting blank core, the flow speed of solute-enriched liquid phase solidification end point is slowed down, and the center segregation of the casting blank is effectively reduced. The improvement of the center segregation of the thick plate blank is more obvious along with the increase of the soft reduction of the solidification end. As the amount of coagulation tip depression increases, the coagulation endpoint is significantly advanced. And the solute segregation behavior inside the thick slab can be effectively improved only by pressing before the solidification end point.
The above-mentioned examples are only preferred embodiments of the present invention, the scope of the present invention is not limited thereto, and any person skilled in the art can obviously obtain simple changes or equivalent substitutions of the technical scheme within the technical scope of the present invention, and the present invention is applicable to the quantitative calculation method of macrosegregation of continuous casting bloom considering the bulging of the shell and the mechanical pressing of the solidification end, which falls within the scope of the present invention.
Claims (1)
1. The thick plate blank macrosegregation calculation method based on blank shell bulging and mechanical pressing is characterized by comprising the following steps of:
step 1: for a continuous casting thick slab with the thickness of 200-700 mm, calculating the shell deformation behavior of the thick slab based on the asymmetric bulging morphology and the solidification tail end mechanical pressing process in the thick slab continuous casting process by neglecting the expanding behavior of a casting blank shell;
step 2: a three-dimensional calculation model is built by selecting half thickness of a thick slab, and the continuous casting thick slab is divided into 5 calculation areas along the casting length, namely Zone 0, zone 1, zone2, zone 3 and Zone 4; wherein, zone 0 is a crystallizer section, zone 1 is an asymmetric drum belly section, zone2 and Zone 3 are asymmetric drum belly and mechanical pressing sections, and Zone 4 is a horizontal section;
because the rolling reduction of the mechanical rolling process of the solidification tail end and the roller spacing influence the bulging deformation of the casting blank, the asymmetric bulging morphology in the thick plate blank continuous casting process is fitted by using a sectional sine function curve; the calculation formula of the fitting of the asymmetric drum belly shape is as follows:
in the formula ,ybul i (x) Is the thickness of the slab under the influence of the asymmetric belly; k (k) n i The number of periods of the asymmetric belly profile curve in each calculation region is calculated; which is a kind ofThe calculation parameters for describing the appearance of the asymmetric drum belly are shown in table 1;
TABLE 1 calculation parameters for describing the morphology of asymmetric drum-belly
Step 3: the surface morphology formula of the shell of the continuous casting thick slab is as follows by combining the comprehensive effects of asymmetric bulging and mechanical pressing of a solidification tail end:
in the formulae (2) to (6), y 0 (x)、y 1 (x)、y 2 (x)、y 3(x) and y4 (x) Respectively representing the thickness of the slab in the Zone 0 to Zone 4; t is the initial thickness of the thick plate blank; r is (r) a S The rolling reduction of the soft rolling process in the Zone2 is shown as the rolling reduction of the soft rolling process in the Zone 2; r is (r) a H Is the process rolling reduction under heavy pressure in Zone 3;
step 4: the surface speed formula of the slab blank shell parallel to the pulling speed direction in the Zone 0, zone 1 and Zone2 caused by the asymmetric belly-bulging morphology is as follows:
wherein ,representing the surface speeds of slab blank shells parallel to the pulling speed direction, which are caused by asymmetric belly-bulging morphology in Zone 0, zone 1 and Zone2 areas; />Representing the surface speeds of slab blank shells perpendicular to the pulling speed direction, which are caused by asymmetric belly-bulging morphology in Zone 0, zone 1 and Zone2 areas; v cast Represents the pull rate;
step 5: considering the effect of the mechanical depression of the solidification end, the surface velocity of the slab of the entire casting flow is formulated as follows:
in the formulas (8) to (13), and />Respectively representing the surface speeds of thick plate blank shells parallel to the pulling speed direction; /> and />Respectively representing the surface speeds of thick plate blank shells perpendicular to the pulling speed direction;
step 6: in order to accurately depict the velocity variation inside a thick slab, the velocity formula inside the entire casting flow is expressed as follows:
in the formulas (14) to (17), and />Respectively representing the internal speed of the thick plate blank parallel to the pulling speed direction; /> and />Respectively representing the internal speed of the thick plate blank perpendicular to the pulling speed direction; /> and />Is the internal shape of the pasty area of the slab;
step 7: and performing coupling calculation among a solute conservation equation, a mass conservation equation, a momentum conservation equation and an energy conservation equation, wherein the equations are as follows:
in the formulas (18) to (21), pi is a phase parameter in each transmission equation, as shown in table 2; f (f) pi 、ρ pi 、c pi 、 and Hpi Volume fraction, density, solute concentration, velocity and enthalpy of each phase, respectively; c (C) s 、M s 、D s 、H s The source items of a solute transport equation, a mass transport equation, a momentum transport equation and a heat transport equation are respectively adopted;
table 2 phase parameters in the transmission equations
The calculation process selects a PC-Simple algorithm, adjusts the calculation process to a second-order windward format after the first-order windward format is converged, sets a relaxation factor below 0.4 and controls a convergence residual error to be 10 -6 Hereinafter, the time step is set to 0.01 to 0.05s.
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| CN105033214A (en) * | 2015-08-28 | 2015-11-11 | 东北大学 | Basic roll gap making method for wide and thick slab casting machine |
| CN107657108A (en) * | 2017-09-22 | 2018-02-02 | 重庆大学 | A kind of continuous casting billet gross segregation Forecasting Methodology |
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| CN103192039A (en) * | 2013-04-18 | 2013-07-10 | 中冶赛迪工程技术股份有限公司 | Method for removing inclusions by means of determining height of vertical section of continuous casting machine for extra-thick slabs |
| CN105033214A (en) * | 2015-08-28 | 2015-11-11 | 东北大学 | Basic roll gap making method for wide and thick slab casting machine |
| CN107657108A (en) * | 2017-09-22 | 2018-02-02 | 重庆大学 | A kind of continuous casting billet gross segregation Forecasting Methodology |
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