CN107034327A - Method based on segregation status during mesh generation quantitatively characterizing particles fall - Google Patents
Method based on segregation status during mesh generation quantitatively characterizing particles fall Download PDFInfo
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- C—CHEMISTRY; METALLURGY
- C21—METALLURGY OF IRON
- C21B—MANUFACTURE OF IRON OR STEEL
- C21B5/00—Making pig-iron in the blast furnace
- C21B5/006—Automatically controlling the process
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- C—CHEMISTRY; METALLURGY
- C21—METALLURGY OF IRON
- C21B—MANUFACTURE OF IRON OR STEEL
- C21B5/00—Making pig-iron in the blast furnace
- C21B5/008—Composition or distribution of the charge
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- C21B—MANUFACTURE OF IRON OR STEEL
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Abstract
The present invention relates to the method based on segregation status during mesh generation quantitatively characterizing particles fall, this method initially sets up a fabric model, it is conducted into simulation software, then the granular model of a variety of particle diameters is set up in simulation software, fabric model is divided in vertical plane according to n × m sizing grid, simulation distribution device is formed;Then particles fall process simulation experiment is carried out, during simulated experiment, simulation distribution device is divided into multiple regions, the segregation index of each region endoparticle model is then calculated respectively.This method is divided to segregation index span and uses the method for color mark to calculate size segregation index ratio in different zones, so that the segregation behavior inscribed when each during characterizing particles fall by calculating the segregation index of particle in each unit grid.
Description
Technical field
Mesh generation quantitatively characterizing particles fall mistake is based on the present invention relates to metallurgical engineering technical field, more particularly to one kind
The method of segregation status in journey.
Background technology
With modernization economic development, steel industry plays very important effect, steel production in national economic development
Amount rose year by year, and blast furnace also develops towards maximization and the direction of hugeization, according to statistics, by 2016, China 4000m3 with
On blast furnace reach 22.The important component that blast furnace material distribution is controlled as blast furnace production process, is improving gas utilization rate,
Reduction fuel plays vital effect in terms of when ensureing the direct motion of blast furnace stable yields.Existing bell-less BF tep cloth system is set
Standby to have structure driven efficiency high, equipment quality is light, the features such as good seal performance, and can realize stove by changing chute inclination angle
Larynx optional position cloth, improves flexibility and the diversity of cloth operation, annular, fan-shaped, spiral shape and fixed point etc. can be achieved many
Plant distributing mode.In recent years, the complicated variation of blast furnace raw material species, feed stock for blast furnace particle size range expands, so as to cause in blast furnace
Size segregation behavior is more easy to occur during cloth, causes the voidage reduction and pressure difference rise of the local bed of material at furnace throat, and then
Being uniformly distributed for influence Gas Flow, influences the direct motion of the working of a furnace indirectly.Model experiment and blast furnace disintegration result prove in ore layer and
Coke layer all remains layered distribution in the position such as furnace throat and furnace throat, and its thickness of feed layer, size distribution, gas permeability is distributed in three material
Constant trend is remain in layer, therefore rational charging system plays vital effect to smooth operation of furnace.Top temperature
Detection device, cross temperature, the equipment of the detection blast furnace burden distribution situation such as furnace roof infrared pick-up instrument is on many blast furnaces
Promotion and application have been arrived, but these equipment can only qualitatively analyze furnace charge distribution situation, play a role limited, it is impossible to entirely accurate
React specific distribution situation of the furnace charge in stove in ground.
Existing substantial amounts of research worker is studied for blast furnace material distribution at this stage, mainly there is physical analogy, mathematics
The method such as calculating and data-driven modeling.As calculating simulation technical merit is improved constantly, discrete element method (DEM) is with individual particle
For object, translation and the rotary state of particle are simulated based on Newton's second law, a kind of effective and reliable mould is had proved to be
Intend the method for particle motion, DEM is deep by numerous research workers welcome in simulation particle flow field.
For the description of particle stabilized rear segregation behavior, different research workers proposes different characterizing methods:
Jullien andMeakin etc. evaluate particle by counting the quantity of particle particle in vertical direction or horizontal direction
Particle diameter is than the degree of segregation with quantity ratio;Shinohara etc. using particle at diverse location relative to initial mass than particle
Deviation ratio judges the uneven distribution of particle;The particle diameter that Kou Mingyin etc. is characterized using relative grain size at particle stream discharge tank is inclined
Analysis behavior;Zhang Jianliang etc. characterizes the particle diameter segregation behavior during particles fall using radial segregation index.
There are various method for expressing for the segregation behavior of particle, most research worker focuses on particle and existed
Segregation behavior in chute and under fall on it is stable at furnace throat after segregation behavior, for particle in transient in fabric model
Middle segregation behavior is rarely reported.The segregation status in fabric model during particles fall influence this to export to a certain extent
Locate the particle diameter distribution of particle, so as to affect the last distribution situation in charge level of particle indirectly, cause particle at diverse location
Generation segregation phenomena.By studying the bias behavior during particles fall in fabric model at diverse location, parsing is different
When inscribe the changing rule of size segregation, for blast furnace play small grain size furnace charge advantage and prediction particle it is finally stable after segregation
Behavior, so as to take corresponding cloth measure, reduces size segregation, so as to ensure blast furnace gas stable smooth operation.
The content of the invention
In view of the above-mentioned problems existing in the prior art, it is a kind of quantitative based on mesh generation it is an object of the invention to provide
The method of segregation status during sign particles fall, can effectively predict the segregation behavior after the last stabilization of particle, take phase
The measure answered.
To achieve the above object, the present invention is adopted the following technical scheme that:Based on mesh generation quantitatively characterizing particles fall mistake
The method of segregation status, comprises the following steps in journey:
1) fabric model is set up;
2) by step 1) the middle fabric model importing simulation software set up;
3) granular model of a variety of particle diameters is set up in simulation software, by fabric model in grid of the vertical plane according to n × m
Size is divided, and forms simulation distribution device, granular model formation simulation granular model;
4) particles fall process simulation is tested:
I) first make marks, be then well mixed a variety of granular models by setting ratio to each granular model;
II a variety of granular models) and then by step I) mixed are fitted into simulation distribution device at random, treat a variety of particles
After model is installed, the coordinate of each granular model is recorded;
III the outlet valve of simulation distribution device bottom) is opened, all granular models start to fall, during record falls
The mark and its corresponding coordinate of each moment each granular model;
IV) treat that last granular model is dropped out from simulation distribution device bottom, simulated experiment is completed;
5) the simulation distribution device set up from left to right is divided into P region, the width in the P region is equal, and root
The segregation index of each region endoparticle model is calculated according to formula (1):
Wherein, SIjfFor in j-th of region, segregation index of i-th kind of granular model in f-th of grid, XjfiTo fall
During, in j-th of region, mass ratio of i-th kind of granular model in f-th of grid, XiI-th kind of granular model is in initial shape
Initial mass ratio during state, NsumjFor the grid sum in j-th of region;Thus every kind of granular model in each grid is obtained
Segregation index.
As optimization, the step 5) in the simulation distribution device set up from left to right is divided into five big region, according to
It is secondary to be named as fringe region, intermediate region, central area, intermediate region and fringe region.
It is five levels by SI points of the segregation index calculated in each grid, when 1.6 as optimization<SI≤2.0, it is fixed
Justice is serious normal segregation;1.2<SI≤1.6, are defined as normal segregation;0.8 < SI≤1.2, are defined as not segregation;0.4<SI≤
0.8, it is defined as negative segregation;0≤SI≤0.4, is defined as serious negative segregation.
It is peony by the grid mark of serious normal segregation as optimization, is represented with SI (++);By the grid mark of normal segregation
Light red is designated as, is represented with SI (+);It is white by the grid mark of normal segregation, is represented with SI (0);By the grid mark of negative segregation
Be designated as it is light blue, with SI (-) represent;It is navy blue by the grid mark of serious negative segregation, is represented with SI (--).
As optimization, count the grid number that the color of five kinds of different segregation indexes is marked is represented in each region respectively
Amount, segregation index ratio is calculated according to formula (2);
FSIj(segregation level)The segregation index ratio for being SI for segregation index in j-th of region, NSIj(jsegregation level)By representing the number of grid that a kind of color of segregation index is marked in j-th of region;
Be used as optimization, the step 1) in fabric model vertical plane for wedge shape.
As optimization, the step 3) in fabric model is drawn in vertical plane according to 10mm × 10mm sizing grid
Point.
As optimization, the step 5) in, the simulation distribution device set up from left to right is divided into five regions, successively
It is named as fringe region, intermediate region, central area, intermediate region and fringe region.
Relative to prior art, the present invention at least has the following advantages that:
1. the present invention, which solves existing experimental method, can not meet the quantitatively characterizing to segregation behavior during particles fall,
The sign of mixing uniformity and experimental method operation inconvenience between particle, measurement error are big, are only capable of obtaining a small amount of effectively experiment
The problem of data.
2. the present invention utilizes numerical simulation, using discrete element method, the position inscribed when each during record particles fall
Coordinate is put, a kind of new thinking and characterizing method are provided for the segregation behavior during research particles fall.
3. the segregation index of the invention by calculating particle in each unit grid, is divided simultaneously to segregation index span
The size segregation index ratio in different zones is calculated using the method for color mark, so that per for the moment during characterizing particles fall
The segregation behavior inscribed.
4. the inventive method is by mesh generation model and calculates the segregation of particle in each grid during particles fall
Index, and segregation index range is divided, the segregation behavior during particles fall is defined into five kinds of different state parameters, root
According to the quantity of institute's indicia grid color, calculate five kinds of segregation index ratios and change with time rule, can effectively predict particle most
Segregation behavior after stablizing afterwards, takes appropriate measures.
Brief description of the drawings
Fig. 1 is the schematic diagram of fabric model of the present invention.
Fig. 2 is fabric model mesh generation schematic diagram.
Fig. 3 is grid mark color and statistics schematic diagram.
Fig. 4 is respectively the segregation distribution map of 3mm and 6mm granular model for the particle diameter of embodiment 1;Wherein, Fig. 4 a are serious
The distribution map of normal segregation, Fig. 4 b are the distribution map of normal segregation;Fig. 4 c are the distribution map of not segregation;The distribution map of Fig. 4 d negative segregation;
Fig. 4 e are the distribution map of serious negative segregation.
Fig. 5 is respectively the segregation distribution map of 3mm and 5mm granular model for the particle diameter of embodiment 2;Wherein, Fig. 5 a are serious
The distribution map of normal segregation, Fig. 5 b are the distribution map of normal segregation;Fig. 5 c are the distribution map of not segregation;The distribution map of Fig. 5 d negative segregation;
Fig. 5 e are the distribution map of serious negative segregation.
Fig. 6 is respectively the segregation distribution map of 3mm and 7mm granular model for the particle diameter of embodiment 3;Wherein, Fig. 6 a are serious
The distribution map of normal segregation, Fig. 6 b are the distribution map of normal segregation;Fig. 6 c are the distribution map of not segregation;The distribution map of Fig. 6 d negative segregation;
Fig. 6 e are the distribution map of serious negative segregation.
Embodiment
The present invention is described in further detail below.
Based on the method for segregation status during mesh generation quantitatively characterizing particles fall, comprise the following steps:
1) fabric model is set up, when it is implemented, three-dimensional drawing software SolidWorks can be utilized;
2) by step 1) in set up fabric model imported into simulation software, when it is implemented, using simulation software
LIGGGHTS;
3) granular model of a variety of particle diameters is set up in simulation software, and the basic parameter and particle of fabric model are set
The basic parameter of model;
The basic parameter of fabric model includes the height and width of geomery and fabric model;
The basic parameter of granular model includes particle diameter, grain density, particle Young's modulus, particle Poisson's ratio, particle
Restorer between coefficient of friction between coefficient of friction between wall, the recovery coefficient between particle and wall, particle, particle
Number;
Fabric model is divided in vertical plane according to n × m sizing grid, simulation distribution device, granule die is formed
Type formation simulation granular model, a variety of particles are different except particle diameter, and other factors are consistent;
4) particles fall process simulation is tested:
I) first make marks, be then well mixed a variety of granular models by setting ratio to each granular model;
II a variety of granular models) and then by step I) mixed are fitted into simulation distribution device at random, treat a variety of particles
After model is installed, the coordinate of each granular model is recorded;When it is implemented, a variety of particles arbitrarily mixed can be by simulation cloth dress
Put and fill;
III the outlet valve of simulation distribution device bottom) is opened, all granular models start to fall, during record falls
The state parameter of each granular model is inscribed when each, mainly includes the mark and its corresponding coordinate of granular model, also wraps
Include the speed and rotating speed in X-axis, Y-axis and Z-direction, and frictional force size;
IV) treat that last granular model is dropped out from simulation distribution device bottom, simulated experiment is completed;
5) the simulation distribution device set up from left to right is divided into P region, the width in the P region is equal, and root
The segregation index of each region endoparticle model is calculated according to formula (1),
Wherein, SIjfFor in j-th of region, segregation index of i-th kind of granular model in f-th of grid, XjfI is whereabouts
During, in j-th of region, mass ratio of i-th kind of granular model in f-th of grid, XiI-th kind of granular model is in initial shape
Initial mass ratio during state, NsumjFor the grid sum in j-th of region;When original state is by a variety of granular models, it is believed that
Setting, therefore be known quantity, thus obtain the segregation index of every kind of granular model in each grid.
When it is implemented, the simulation distribution device set up from left to right is divided into five big region, side is named as successively
Edge region, intermediate region, central area, intermediate region and fringe region, as shown in Figure 2.
It is five levels by SI points of the segregation index calculated in each grid, i.e.,:1.6<SI≤2.0, are defined as serious
Normal segregation, is peony by the grid mark, is represented with SI (++);1.2<SI≤1.6, are defined as normal segregation, by the grid mark
Light red is designated as, is represented with SI (+);0.8 < SI≤1.2, are defined as not segregation, are white by the grid mark, with SI (0) table
Show;0.4<SI≤0.8, is defined as negative segregation, is light blue by the grid mark, is represented with SI (-);0≤SI≤0.4, definition
It is navy blue by the grid mark for serious negative segregation, is represented with SI (--).
As shown in Figure 3, count respectively and the grid that the color of five kinds of different segregation indexes is marked is represented in each region
Quantity, segregation index ratio is calculated according to formula (2);
FSIj(segregation level)The segregation index ratio for being SI for segregation index in j-th of region, NSIj(jsegregation level)By representing the number of grid that a kind of color of segregation index is marked in j-th of region;
Respectively calculating simulation particle from start from fabric model lower end outlet begin to fall to terminal procedure in a certain region
Interior five kinds of segregation indexes are than the size under different time sections, using the time as transverse axis, and segregation index ratio is mapped for the longitudinal axis, is drawn not
With five kinds in region, different segregation indexes compare versus time curve.
Embodiment 1:
Based on the method for segregation status during mesh generation quantitatively characterizing particles fall, comprise the following steps:
1) fabric model is set up, particles fall process, fabric model width L is simulated1=14mm, height L2=
220mm, length L4=200mm, the length L of fabric model feed opening3=28mm, the two lateral walls of fabric model feed opening with
Angle theta=50 ° of horizontal direction
2) granular model of two kinds of particle diameters is set up, wherein, two kinds of particles diameter is set to 3mm and 6mm, particle Young mould
Amount is set to 375GPa, and particle Poisson's ratio is set to 0.22, and grain density is set to 2100kg/m3, the coefficient of friction between particle and wall
0.4 is set to, the coefficient of friction that the recovery coefficient between particle and wall is set between 0.7, particle is set to extensive between 0.5, particle
Complex coefficient is set to 0.6,3mm granular mass:Quality=0.5 of 6mm particles:0.5.
3) simulation software LIGGGHTS, simulated experiment are run:Load fabric model after first simulation particle is well mixed, remember
The state parameter of particle is now respectively simulated in record;Outlet valve is opened, all particles start to fall, the state of each simulation particle of record
Parameter;During simulation particles fall, the state parameter of each simulation particle is inscribed when recording each.
4) after the completion of simulated experiment, inscribed when substituting into by recorded data and calculate a certain in formula (1) in each grid
Segregation index, according to the SI values of calculating carry out segregation horizontal division, and to the grid carry out color mark.
5) institute in a certain moment lower edge margin, intermediate region, central area, intermediate region, fringe region is counted respectively
There is the marker color number of grid under the total quantity and each segregation level of marker color grid, calculate and calculated according to formula (2)
Segregation index ratio:
6) when calculating simulation particle is different from starting to export from fabric model lower end and beginning to fall to terminal procedure respectively
Between five kinds of segregation index ratios in a certain region under section, using the time as transverse axis, segregation index ratio is longitudinal axis mapping, draws different zones
Interior five kinds different segregation indexes are than versus time curve, as a result as shown in accompanying drawing 4a- Fig. 4 e.
Embodiment 2:
Based on the method for segregation status during mesh generation quantitatively characterizing particles fall, comprise the following steps:
1) fabric model is set up, particles fall process is simulated, wherein, fabric model width L1=14mm, height L2=
220mm, length L4=200mm, the length L of fabric model feed opening3=28mm, the two lateral walls of fabric model feed opening with
Angle theta=50 ° of horizontal direction
2) granular model of two kinds of particle diameters is set up, wherein, two kinds of particles diameter is set to 3mm and 5mm, particle Young mould
Amount is set to 375GPa, and particle Poisson's ratio is set to 0.22, and grain density is set to 2100kg/m3, the coefficient of friction between particle and wall
0.4 is set to, the coefficient of friction that the recovery coefficient between particle and wall is set between 0.7, particle is set to extensive between 0.5, particle
Complex coefficient is set to 0.6,3mm granular mass:Quality=0.5 of 5mm particles:0.5.
3) simulation software LIGGGHTS, simulated experiment are run:Load fabric model after first simulation particle is well mixed, remember
The state parameter of particle is now respectively simulated in record;Outlet valve is opened, all particles start to fall, the state of each simulation particle of record
Parameter;During simulation particles fall, the state parameter of each simulation particle is inscribed when recording each.
After the completion of simulated experiment, inscribed when substituting into by recorded data and calculate a certain in formula (1) in each grid
Segregation index, carries out segregation horizontal division, and carry out color mark to the grid according to the SI values of calculating.
5) institute in a certain moment lower edge margin, intermediate region, central area, intermediate region, fringe region is counted respectively
There is the marker color number of grid under the total quantity and each segregation level of marker color grid, calculate and calculated according to formula (2)
Segregation index ratio:
6) when calculating simulation particle is different from starting to export from fabric model lower end and beginning to fall to terminal procedure respectively
Between five kinds of segregation index ratios in a certain region under section, using the time as transverse axis, segregation index ratio is longitudinal axis mapping, draws different zones
Interior five kinds different segregation indexes are than versus time curve, as a result as shown in accompanying drawing 5a- Fig. 5 e.
Embodiment 3:
Based on the method for segregation status during mesh generation quantitatively characterizing particles fall, comprise the following steps:
1) fabric model is set up, particles fall process is simulated, wherein, fabric model width L1=14mm, height L2=
220mm, length L4=200mm, the length L of fabric model feed opening3=28mm, the two lateral walls of fabric model feed opening with
Angle theta=50 ° of horizontal direction
2) granular model of two kinds of particle diameters is set up, wherein, two kinds of particles diameter is set to 3mm and 7mm, particle Young mould
Amount is set to 375GPa, and particle Poisson's ratio is set to 0.22, and grain density is set to 2100kg/m3, the coefficient of friction between particle and wall
0.4 is set to, the coefficient of friction that the recovery coefficient between particle and wall is set between 0.7, particle is set to extensive between 0.5, particle
Complex coefficient is set to 0.6,3mm granular mass:Quality=0.5 of 7mm particles:0.5.
3) simulation software LIGGGHTS, simulated experiment are run:Load fabric model after first simulation particle is well mixed, remember
The state parameter of particle is now respectively simulated in record;Outlet valve is opened, all particles start to fall, the state of each simulation particle of record
Parameter;During simulation particles fall, the state parameter of each simulation particle is inscribed when recording each.
After the completion of simulated experiment, inscribed when substituting into by recorded data and calculate a certain in formula (1) in each grid
Segregation index, carries out segregation horizontal division, and carry out color mark to the grid according to the SI values of calculating.
5) institute in a certain moment lower edge margin, intermediate region, central area, intermediate region, fringe region is counted respectively
There is the marker color number of grid under the total quantity and each segregation level of marker color grid, calculate and calculated according to formula (2)
Segregation index ratio:
6) when calculating simulation particle is different from starting to export from fabric model lower end and beginning to fall to terminal procedure respectively
Between five kinds of segregation index ratios in a certain region under section, using the time as transverse axis, segregation index ratio is longitudinal axis mapping, draws different zones
Interior five kinds different segregation indexes are than versus time curve, as a result as shown in accompanying drawing 6a- Fig. 6 e.
Finally illustrate, the above embodiments are merely illustrative of the technical solutions of the present invention and it is unrestricted, although with reference to compared with
The present invention is described in detail good embodiment, it will be understood by those within the art that, can be to skill of the invention
Art scheme is modified or equivalent substitution, and without departing from the objective and scope of technical solution of the present invention, it all should cover at this
Among the right of invention.
Claims (8)
1. the method based on segregation status during mesh generation quantitatively characterizing particles fall, it is characterised in that:Including following step
Suddenly:
1) fabric model is set up;
2) by step 1) the middle fabric model importing simulation software set up;
3) granular model of a variety of particle diameters is set up in simulation software, by fabric model in sizing grid of the vertical plane according to n × m
Divided, form simulation distribution device, granular model formation simulation granular model;
4) particles fall process simulation is tested:
I) first make marks, be then well mixed a variety of granular models by setting ratio to each granular model;
II a variety of granular models) and then by step I) mixed are fitted into simulation distribution device at random, treat a variety of granular models
After installing, the coordinate of each granular model is recorded;
III the outlet valve of simulation distribution device bottom) is opened, all granular models start to fall, and record is each during falling
The mark of moment each granular model and its corresponding coordinate;
IV) treat that last granular model is dropped out from simulation distribution device bottom, simulated experiment is completed;
5) the simulation distribution device set up from left to right is divided into P region, the width in the P region is equal, and according to public affairs
Formula (1) calculates the segregation index of each region endoparticle model:
Wherein, SIjfFor in j-th of region, segregation index of i-th kind of granular model in f-th of grid, XjfiFor dropping process
In, in j-th of region, mass ratio of i-th kind of granular model in f-th of grid, XiI-th kind of granular model is in original state
Initial mass ratio, NsumjFor the grid sum in j-th of region;Thus the inclined of every kind of granular model in each grid is obtained
Analyse index.
2. the method for segregation status during the quantitatively characterizing particles fall according to claim 1 based on mesh generation, its
It is characterised by:The step 5) in the simulation distribution device set up from left to right is divided into five big region, be named as successively
Fringe region, intermediate region, central area, intermediate region and fringe region.
3. the method for segregation status during the quantitatively characterizing particles fall according to claim 1 or 2 based on mesh generation,
It is characterized in that:It is five levels by SI points of the segregation index calculated in each grid, when 1.6<SI≤2.0, are defined as tight
Weight normal segregation;1.2<SI≤1.6, are defined as normal segregation;0.8 < SI≤1.2, are defined as not segregation;0.4<SI≤0.8, definition
For negative segregation;0≤SI≤0.4, is defined as serious negative segregation.
4. the method for segregation status during the quantitatively characterizing particles fall according to claim 3 based on mesh generation, its
It is characterised by:It is peony by the grid mark of serious normal segregation, is represented with SI (++);It is pale red by the grid mark of normal segregation
Color, is represented with SI (+);It is white by the grid mark of normal segregation, is represented with SI (0);It is light blue by the grid mark of negative segregation
Color, is represented with SI (-);It is navy blue by the grid mark of serious negative segregation, is represented with SI (--).
5. the method for segregation status during the quantitatively characterizing particles fall according to claim 4 based on mesh generation, its
It is characterised by:Count respectively and the number of grid that the color of five kinds of different segregation indexes is marked is represented in each region, according to public affairs
Formula (2) calculates segregation index ratio;
FSIj(segregation level)The segregation index ratio for being SI for segregation index in j-th of region, NSIj(jsegregation level)For
The number of grid that a kind of color of segregation index is marked is represented in j-th of region.
6. the method for segregation status during the quantitatively characterizing particles fall according to claim 1 based on mesh generation, its
It is characterised by:The step 1) in fabric model vertical plane for wedge shape.
7. the method for segregation status during the quantitatively characterizing particles fall according to claim 1 based on mesh generation, its
It is characterised by:The step 3) in fabric model is divided in vertical plane according to 10mm × 10mm sizing grid.
8. the method for segregation status during the quantitatively characterizing particles fall according to claim 1 based on mesh generation, its
It is characterised by:The step 5) in, the simulation distribution device set up from left to right is divided into five regions, side is named as successively
Edge region, intermediate region, central area, intermediate region and fringe region.
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CN111539103A (en) * | 2020-04-20 | 2020-08-14 | 东南大学 | Method for quantifying segregation degree of particles of ball mill based on lacey method |
CN112733326A (en) * | 2020-12-21 | 2021-04-30 | 赣江新区澳博颗粒科技研究院有限公司 | Numerical simulation method for material distribution of rotary chute at top of blast furnace |
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