CN104439127A - Method for calculating real growing direction of solidification structure in columnar zone of variety steel continuous casting slab - Google Patents

Method for calculating real growing direction of solidification structure in columnar zone of variety steel continuous casting slab Download PDF

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CN104439127A
CN104439127A CN201410787916.6A CN201410787916A CN104439127A CN 104439127 A CN104439127 A CN 104439127A CN 201410787916 A CN201410787916 A CN 201410787916A CN 104439127 A CN104439127 A CN 104439127A
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solidified structure
continuous casting
growth
intercrystalline
crystal grain
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CN104439127B (en
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侯自兵
陈晗
奚超超
王伟
毛伊航
张波
赵尹
文光华
唐萍
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Chongqing University
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Abstract

The invention discloses a method for calculating a real growing direction of a solidification structure in a columnar zone of a variety steel continuous casting slab. The method comprises the following steps of performing hot pickling to obtain an overall appearance of the solidification structure; acquiring images of crystalline grains of the solidification structure of the continuous casting slab by using a digital camera; counting the corresponding number (n) of the crystalline grains on a straight line of which the length is L by using image processing software; using L/n as gaps among the crystalline grains on the upper surface and the inner surface of the columnar zone; respectively selecting regions of which the area is A on a left side surface, a right side surface and an oblique section of a sample; selecting the number (N) of the crystalline grains of the regions; calculating the gaps among the crystalline grains on the left side surface, the right side surface and the oblique section of the sample by using an area method; and calculating the real growing direction of the crystalline grains of the solidification structure according to the gaps of the crystalline grains of the various surfaces and on the basis of a geometrical relationship so as to obtain a deflection angle alpha and a deflection angle beta of the crystalline grains in the horizontal growing direction and the vertical growing direction. The real growing direction of the crystalline grains of the solidification structure of the columnar zone of the continuous casting slab is calculated by an established mathematic model; and the solidification structure can be controlled precisely, defects of the continuous casting slab are overcome, and the quality of continuous casting slab and the quality of finished products are improved.

Description

Calculate the method for the true direction of growth of variety steel continuous casting billet columnar zone solidified structure
Technical field
The present invention relates to metallurgical engineering technical field, particularly relate to a kind of method calculating the true direction of growth of variety steel continuous casting billet columnar zone solidified structure.
Background technology
Along with economic development is slowed down, steel industry is after one takes turns the high speed expansionary phase, and each large and medium-sized enterprise has all met with large-area loss; Meanwhile, after development for many years, also more and more higher to the quality requirement of steel in society.When excess production capacity, the competitiveness strengthening product by improving product quality has become the dominant voice of steel industry instantly, this wherein just comprises the internal soundness improving continuous casting billet, alleviates the internal flaw even eliminating continuous casting billet, as segregation, loosens etc.
The formation of the solidified structure of variety steel continuous casting billet and the quality of pattern to continuous casting billet and final products have a significant impact, and according to the feature of solidified structure grain morphology, usually continuous casting billet are divided into chill, columnar zone and equiax crystal district.The defect of continuous casting billet is formed on the basis of solidified structure, is therefore accurately familiar with the growth course of continuous casting billet solidified structure crystal grain, is of great significance the control tool of continuous casting billet solidified structure.Column crystal is for the solidified structure in chill and equiax crystal district, and it is oriented growth (anisotropy), and the meaning therefore obtaining the true direction of growth of columnar zone solidified structure is more obvious, and this is also research object of the present invention.Hereafter involved solidified structure specially refers to the solidified structure of columnar zone.Forefathers it has been generally acknowledged that the grain growth of columnar zone solidified structure is perpendicular to physical boundary, but due to the Solidification Characteristics of continuous casting itself and have employed the technology such as electromagnetic agitation and make liquid metal liquid-solid boundary change in actual production, cause columnar zone solidified structure crystal grain often to there is certain deflection angle in growth course.But due to the complexity of continuous casting and solidifying process, prior art often just walks always to judge its direction of growth by the crystal grain of the solidified structure of some two-dimentional sightingpistons, not founding mathematical models, not by the spatial deflection angle calculating the grain growth of zones of different solidified structure of Mathematical Modeling, the true direction of growth (three-dimensional) of continuous casting billet solidified structure crystal grain can not be explicitly pointed out.The true direction of growth of solidified structure crystal grain reflects the movable pole point situation of continuous casting billet solidification processing liquid metals simultaneously, therefore flow regime and the heat transfer situation of continuous casting billet interior liquid metal is inferred by calculating the true direction of growth of crystal grain, so just contribute to the forming process more in depth understanding continuous casting billet solidified structure and associated disadvantages more comprehensively, thus in actual production process, improve the quality of continuous casting billet.
Summary of the invention
For the deficiency of existing method to the true direction of growth understanding of continuous casting billet solidified structure crystal grain, there is no founding mathematical models, not by the deflection angle calculating the grain growth of zones of different solidified structure of Mathematical Modeling, object of the present invention is mainly to provide a kind of method calculating the true direction of growth of variety steel continuous casting billet columnar zone solidified structure.
The present invention utilizes the method for founding mathematical models, adopts following steps to calculate the true direction of growth of solidified structure.
(1) washed the overall pattern of the solidified structure obtaining variety steel continuous casting billet by hot acid: in pickling, acid solution volumetric ratio is 1:(0.5-1.5) the technical hydrochloric acid aqueous solution, acid etching temperature is 60 DEG C to 80 DEG C, and etching time is 5-35min.After hot acid is washed, high-definition digital camera is utilized to obtain the image of continuous casting billet solidified structure crystal grain;
(2) be columnar arrangement when columnar zone solidified structure crystal grain meets at horizontal and vertical direction, and when meeting at left and right side and oblique section, present the state of similar equiax crystal, significantly not regular; Therefore, utilize the number of dies n that image processing software adds up corresponding on the straight line of given length for L, and by the intercrystalline distance of L/n columnar zone upper surface and inner surface.And intercrystalline distance is measured by area-method (lack of alignment) on sample left and right side and oblique section;
A region is selected respectively in sample left and right side and oblique section, obtain the area A of left and right side and oblique section respectively, and measure the crystal grain number N of selection area, measure selection area intercrystalline distance separately by area-method, calculated the intercrystalline distance of left and right side and oblique section by formula (1);
A 4 λ 0 2 = N - - - ( 1 )
In formula: λ 0-solidified structure intercrystalline distance;
The area of A-selection area, μm 2;
The crystal grain number of N-selection area, individual;
(3) the present invention by based on sample each solidified structure intercrystalline apart from and utilize space geometry relation to calculate the true direction of growth of continuous casting billet solidified structure crystal grain, and the true direction of growth is embodied in the deflection angle on the horizontal and vertical direction of grain growth;
(4) suppose that true intercrystalline is apart from being λ, the solidified structure crystal grain deflection angle on horizontal and vertical direction is α, β.The true direction of growth of solidified structure crystal grain can calculate by the following method.
λ 1cosα=λ (2)
λ 2cosβ=λ (3)
In formula: λ-true intercrystalline distance, μm;
λ 1-upper surface intercrystalline distance, μm;
λ 2-inner surface intercrystalline distance, μm;
λ 3-left and right side actual average intercrystalline distance, μm; λ 3for left surface intercrystalline is apart from (λ 0 is left) and right flank intercrystalline distance (λ 0 is right) after addition divided by 2, the mean value obtained;
A-oblique section area, μm 2;
N-oblique section crystal grain number, individual;
The deflection angle of solidified structure grain growth in α-horizontal direction, °;
The deflection angle of solidified structure grain growth in β-vertical direction, °.
Simultaneous formula (2), (3), (4), substitute into the deflection angle β that experimental data can obtain solidified structure grain growth in the angle of deflection of solidified structure grain growth in horizontal direction and vertical direction, the true direction of growth of solidified structure crystal grain can be determined by these two parameters.
First, the true direction of growth of solidified structure crystal grain embodies deflection angle in the horizontal and vertical directions as shown in Figure 1, 2, and an intercrystalline according to solidified structure crystal grain on sample can obtain formula (5), (6) apart from geometrical relationship in space.Due to the apparent intercrystalline distance in horizontal and vertical direction directly cannot be measured, then using the intercrystalline of sample upper surface and inner surface apart from as solidified structure crystal grain apparent intercrystalline distance in the horizontal and vertical directions.
λ 1cosα=λ (5)
λ 2cosβ=λ (6)
Solidified structure crystal grain, towards continuous casting billet central growth, will intersect at sample oblique section, here using the intercrystalline distance of the average distance of its intersection point on oblique section as oblique section.If solidified structure crystal grain to continuous casting billet central growth, then obtains the intercrystalline of sample oblique section apart from should be perpendicular to left surface the i.e. length of side C of the trapezoidal hypotenuse of Fig. 3 display 0.On the basis of Fig. 3, solidified structure crystal grain upward deflects β angle.When then solidified structure grain growth intersects at inclined-plane, the distance between its intersection point is by C 0become C 1, as shown in Figure 4.Geometrical relationship according to this figure can obtain formula (7).
Last on the basis of Fig. 4, inside surface deflections α angle.The inside surface deflections α angle of level, now deflection angle is by β 1become β.But definitely cannot learn β 1size, β 1with β in same plane so make β 1≈ β.When solidified structure crystal grain intersects at inclined-plane, the distance between its intersection point is by C 1become C 2, as shown in Figure 5.When it is crossing with oblique section, solidified structure crystal grain arranges as shown in Figure 6, at this hypothesis C 2and the angle between vertical curve is α, according to Fig. 5,6 geometrical relationship can obtain formula (8).
In horizontal direction behind deflection α, β angle, solidified structure crystal grain intersects at the intersection point of oblique section apart from constant, as shown in Fig. 7 (a), Fig. 7 (b), i.e. and C 3equal λ 3.Intersection point distance solidified structure crystal grain in horizontal direction being intersected at oblique section intersects at the mean value of the intersection point distance of oblique section as time intercrystalline distance of on oblique section with solidified structure crystal grain in vertical direction, then have formula (9).Utilize area-method (lack of alignment) to measure an intercrystalline distance on oblique section, then can obtain formula (10).
In formula: λ-true intercrystalline distance, μm;
λ 1-upper surface actual measurement intercrystalline distance, μm;
λ 2-inner surface actual measurement intercrystalline distance, μm;
λ 3-left and right real side actual average intercrystalline distance, μm; λ 3for left surface intercrystalline is apart from (λ 0 is left) and right flank intercrystalline distance (λ 0 is right) after addition divided by 2, the mean value obtained;
λ 4-inclined-plane intercrystalline distance, μm;
C 0perpendicular to intersection point distance crossing with oblique section during left surface grain growth in-vertical direction, μm;
C 1in-vertical direction only deflection β grain growth time the intersection point distance crossing with oblique section, μm;
C 2intersection point distance crossing with oblique section during grain growth behind-continuation horizontal deflection α angle, μm;
C 3the intersection point distance that in-horizontal direction, crystal grain is crossing with oblique section, μm;
A-oblique section area, μm 2;
N-oblique section crystal grain number, individual;
The deflection angle of solidified structure grain growth in α-horizontal direction, °;
The deflection angle of solidified structure grain growth in β-vertical direction, °.
Compare existing method, the present invention has following beneficial outcomes:
(1) calculated with mathematical model of this invention can be utilized to obtain the true direction of growth of continuous casting billet columnar zone solidified structure, namely in three-dimensional structure, show its true direction of growth, and represent with the angle of deflection in horizontal direction and the deflection angle β in vertical direction;
(2) accurately infer the flow regime of process of setting continuous casting billet internal heat transfer situation and liquid metal after utilizing the true direction of growth of solidified structure crystal grain to contribute to, thus be more in depth familiar with the growth course of solidified structure crystal grain;
(3) intergrate with practice working condition, after contributing to continuous casting billet solidified structure Precise control and alleviate corresponding slab defects, the quality of make better products steel continuous casting billet and final products.
Accompanying drawing explanation
Fig. 1 solidified structure crystal grain horizontal deflection angle α schematic diagram;
Fig. 2 solidified structure crystal grain vertical deflection angle β schematic diagram;
In Fig. 3 vertical direction, solidified structure crystal grain does not deflect and intersects at oblique section schematic diagram;
Schematic diagram behind solidified structure crystal grain deflection β angle in Fig. 4 vertical direction;
The deflection of Fig. 5 vertical direction solidified structure crystal grain continues horizontal deflection α angle schematic diagram behind β angle;
Fig. 6 vertical direction deflection after coagulation organizes crystal grain to intersect at oblique section schematic diagram;
Fig. 7 horizontal direction solidified structure crystal grain deflection schematic diagram;
The true direction of growth schematic perspective view of Fig. 8 solidified structure crystal grain;
The continuous casting billet solidified structure image of rear gained washed by Fig. 9 hot acid;
Figure 10 sample position schematic diagram.
Detailed description of the invention
Embodiment:
(1) utilize acid solution volumetric ratio for 1:(0.5-1.5) industrial acids and the mixed solution of water, hot acid is carried out to variety steel continuous casting billet and washes, specifically can select hydrochloric acid, obtain the overall pattern of the solidified structure of variety steel continuous casting billet.Keep acid etching temperature to be 60 DEG C to 80 DEG C in acid cleaning process, etching time is 5-35min.After hot acid is washed, high-definition digital camera is utilized to obtain the image of continuous casting billet Solidification Microstructure Morphology, as shown in Figure 8.Because continuous casting billet difference composition differs to the extent of reaction of pickling solution, so will present the Solidification Microstructure Morphology in continuous casting billet cross section after pickling;
(2) solidified structure is made up of chill, columnar zone and equiax crystal district.As shown in Figure 9, continuous casting billet outermost is chill, its be when cooling with molten steel crystallizer contact internal walls, formation after quick heat radiating cooling, adjoining inside chill is columnar zone, be equiax crystal district to strand center inside columnar zone.Choose 4 samples at columnar zone, and utilize high-definition digital camera to obtain the image of sample Solidification Microstructure Morphology, as shown in Figure 10, be respectively columnar zone sample 1#, 2#, 3#, 4# from left to right.
Columnar zone solidified structure crystal grain is columnar arrangement when meeting at horizontal and vertical direction, and presents the state of similar equiax crystal when meeting at left and right side and oblique section, significantly not regular.
(3) utilize image processing software, as softwares such as Image Tool, at given length be L straight line on add up corresponding number of dies n, and using the intercrystalline distance of L/n as columnar zone upper surface and inner surface.And intercrystalline distance is measured by area-method (lack of alignment) on sample left and right side and oblique section;
Utilize the number of dies n that image processing software adds up corresponding on the straight line of given length for L, and using L/n as columnar zone upper surface intercrystalline apart from λ 1, and the intercrystalline of inner surface is apart from λ 2; And on sample left and right side and oblique section, select a region respectively, obtain the area A of left and right side and oblique section respectively, and determine the crystal grain number N measuring selection area, respective intercrystalline distance is measured by area-method, obtain the area A of left and right side and oblique section respectively, calculated the intercrystalline distance of left and right side and oblique section by formula (1);
A 4 λ 0 2 = N - - - ( 1 )
In formula: λ 0-solidified structure intercrystalline distance;
The area of A-selection area, μm 2;
The crystal grain number of N-selection area, individual;
See Fig. 9, the region that the present invention chooses is fixed-area A, is the square region of 10mm × 10mm × 10mm; According to actual needs, the region of different area (volume) can also be chosen.
(4) the present invention is by the true direction of growth in conjunction with sample each solidified structure crystal grain distance computation continuous casting billet solidified structure crystal grain, and the true direction of growth is embodied in the deflection angle on the horizontal and vertical direction of grain growth;
(5) according to the geometrical relationship of intercrystalline distance in space of solidified structure on sample, simultaneous formula (2), (3), (4), and the angle of deflection, β and λ that substitute into that table 1 data separate mathematical analysis software can solve solidified structure grain growth.
According to the intercrystalline distance geometrical relationship founding mathematical models in space of solidified structure crystal grain, utilize following three formula, and substitute into and measure the deflection angle β that the experimental data that obtains can obtain solidified structure grain growth in the angle of deflection of solidified structure grain growth in horizontal direction and vertical direction as calculated, finally determine the true direction of growth of variety steel continuous casting billet solidified structure:
λ 1cosα=λ (2)
λ 2cosβ=λ (3)
In formula: λ-true intercrystalline distance, μm;
λ 1-upper surface intercrystalline distance, μm;
λ 2-inner surface intercrystalline distance, μm;
λ 3-left and right side actual average intercrystalline distance, μm; λ 3for left surface intercrystalline is apart from (λ 0 is left) and right flank intercrystalline distance (λ 0 is right) after addition divided by 2, the mean value obtained;
A-oblique section area, μm 2;
N-oblique section crystal grain number, individual;
The deflection angle of solidified structure grain growth in α-horizontal direction, °;
The deflection angle of solidified structure grain growth in β-vertical direction, °.
Simultaneous formula (2), (3), (4), substitute into the true direction of growth that experimental data can obtain solidified structure crystal grain, with the deflection angle β of solidified structure grain growth in the angle of deflection of solidified structure grain growth in horizontal direction, vertical direction, three-dimensional structure shows its true direction of growth.
Table 1 sample each intercrystalline distance and oblique section number of dies statistics
By each sample upper surface of above-mentioned calculated with mathematical model gained and front surface solidified structure crystal grain deflection angle size, as shown in table 2.
The each sample upper surface of table 2 and inner surface solidified structure crystal grain deflection angle
The present invention, by the method for founding mathematical models, calculates the deflection angle of continuous casting billet solidified structure crystal grain.The method can the true direction of growth of clear and definite variety steel continuous casting billet solidified structure, can be familiar with better and understand the forming process of continuous casting billet solidified structure.And liquid metal flows state and the heat transfer situation of continuous casting billet inside in process of setting is inferred by the true direction of growth of crystal grain.Meanwhile, the working condition that intergrates with practice contributes to the control of continuous casting billet solidified structure, alleviates the defect even eliminating strand, finally reaches the object improving slab quality.
What finally illustrate is, above embodiment is only in order to illustrate technical scheme of the present invention and unrestricted, although with reference to preferred embodiment to invention has been detailed description, those of ordinary skill in the art is to be understood that, can modify to technical scheme of the present invention or equivalent replacement, and not departing from aim and the scope of technical solution of the present invention, it all should be encompassed in the middle of right of the present invention.

Claims (1)

1. calculate a method for the true direction of growth of variety steel continuous casting billet columnar zone solidified structure, it is characterized in that, comprise the following steps:
(1) the overall pattern of the solidified structure obtaining variety steel continuous casting billet is washed by hot acid: middle acid solution volumetric ratio washed by hot acid is 1:(0.5-1.5) the technical hydrochloric acid aqueous solution, acid etching temperature is 60 DEG C to 80 DEG C, and etching time is 5-35min; After hot acid is washed, high-definition digital camera is utilized to obtain the image of continuous casting billet solidified structure crystal grain;
(2) for columnar zone solidified structure, the number of dies n that image processing software adds up corresponding on the straight line of given length for L is utilized, and using L/n as columnar zone upper surface intercrystalline apart from λ 1, and the intercrystalline of inner surface is apart from λ 2; And on sample left and right side and oblique section, select a region respectively, obtain the area A of left and right side and oblique section respectively, and measure the crystal grain number N of selection area, measure selection area intercrystalline distance separately by area-method, calculated the intercrystalline distance of left and right side and oblique section by formula (1);
A 4 λ 0 2 = N - - - ( 1 )
In formula: λ 0-solidified structure intercrystalline distance;
The area of A-selection area, μm 2;
The crystal grain number of N-selection area, individual;
(3) in conjunction with the true direction of growth of sample each solidified structure crystal grain distance computation continuous casting billet solidified structure crystal grain, and the true direction of growth is embodied in angle of deflection, β on the horizontal and vertical direction of grain growth respectively;
(4) organize intercrystalline distance based on each surface solidification and utilize three dimensions geometrical relationship founding mathematical models, specifically stating as shown in formula (2), (3), (4); By calculating, the deflection angle β of solidified structure grain growth in the angle of deflection of solidified structure grain growth in horizontal direction and vertical direction can be obtained:
λ 1cosα=λ (2)
λ 2cosβ=λ (3)
In formula: λ-true intercrystalline distance, μm;
λ 1-upper surface intercrystalline distance, μm;
λ 2-inner surface intercrystalline distance, μm;
λ 3-left and right side actual average intercrystalline distance, μm; λ 3for left surface intercrystalline is apart from (λ 0 is left) and right flank intercrystalline distance (λ 0 is right) after addition divided by 2, the mean value obtained;
A-oblique section area, μm 2;
N-oblique section crystal grain number, individual;
The deflection angle of solidified structure grain growth in α-horizontal direction, °;
The deflection angle of solidified structure grain growth in β-vertical direction, °;
Simultaneous formula (2), (3), (4), substitute into the deflection angle β that experimental data can obtain solidified structure grain growth in the angle of deflection of solidified structure grain growth in horizontal direction and vertical direction, the true direction of growth of columnar zone solidified structure crystal grain can be determined by these two parameters.
CN201410787916.6A 2014-12-17 2014-12-17 Calculate the method for the true direction of growth of variety steel continuous casting billet columnar zone solidified structure Expired - Fee Related CN104439127B (en)

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