A solid-liquid-gas multiphase simulation method and device for a froth flotation process

Abstract

This invention relates to the field of computer graphics physical simulation technology, specifically to a solid-liquid-gas multiphase simulation method and apparatus for froth flotation processes. The method includes: performing fluid dynamics and mixture theory analysis on the multiphase flow composed of slurry and flotation reagents during flotation, establishing a multiphase flow simulation model of slurry and flotation reagents based on the volume fraction method; simulating the introduction of air and foam during flotation, constructing a unified calculation method and interaction mode based on the force relationship between foam and fluid, and completing the gas-liquid coupling between foam and slurry; and constructing a simulation model of hydrophilic and hydrophobic flocs based on multiphase flow and surface tension simulation methods, combined with the property of flotation reagents changing the hydrophilicity and hydrophobicity of mineral particles, thereby realizing the multiphase fluid environment within the flotation cell and the solid-liquid coupling between mineral particles. This invention solves the dependence on manual operation for state perception and control parameter adjustment in the flotation process, providing mechanistic analysis and visual verification for improving foam grade and optimizing the flotation process.

Description

Technical Field

[0001] This invention relates to the field of computer graphics physical simulation technology, and in particular to a solid-liquid-gas multiphase simulation method and apparatus for foam flotation processes. Background Technology

[0002] Mineral resources are an important component of national security, with non-ferrous metal resources being particularly crucial. While my country boasts abundant non-ferrous metal resources, their grades are generally low, and the country's rapid economic development presents a challenge of non-ferrous metal shortages. A rational mineral processing procedure is essential to avoid waste of non-ferrous metal resources and improve mineral recovery rates. Foam flotation is a vital mineral processing method, used in over 90% of non-ferrous metal ore beneficiation in my country.

[0003] Foam flotation is a physicochemical process that takes place in three phases: solid, liquid, and gas. It involves adding different mineral processing reagents to the slurry and utilizing the differences in hydrophilicity and hydrophobicity exhibited by mineral particles under the influence of these reagents. This allows useful mineral particles to adhere to air bubbles and float to the surface, thus separating them from impurities.

[0004] The flotation process requires flotation equipment such as flotation machines and flotation columns. The control parameters of the flotation machine are crucial to mineral flotation performance and separation efficiency. These parameters include stirring speed, pulp level, reagent dosage, and aeration rate. In traditional flotation production, the adjustment of these control parameters relies primarily on workers observing the color, size, and flow velocity of the flotation froth to determine the proper functioning of the flotation equipment and process. Based on experience, they determine how to adjust control parameters such as pulp level, reagent dosage, and aeration rate. This adjustment method, limited by worker experience and skill level, cannot guarantee that the set flotation machine control parameters are optimal, thus failing to maximize the production efficiency of the flotation machine and process, and increasing the labor intensity of workers. Summary of the Invention

[0005] To address the technical problem that existing technologies are limited by worker experience and skill levels, making it difficult to guarantee optimal flotation machine control parameters, thus hindering the maximization of flotation machine and flotation process efficiency and increasing worker workload, this invention provides a solid-liquid-gas multiphase simulation method and apparatus for foam flotation processes. The technical solution is as follows:

[0006] On the one hand, a solid-liquid-gas multiphase simulation method for foam flotation processes is provided. This method is implemented by a solid-liquid-gas multiphase simulation device for foam flotation processes, and includes:

[0007] S1. Obtain the multiphase flow of slurry and flotation reagents during the flotation process, perform fluid dynamics and mixture theory analysis on the multiphase flow, and establish a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method.

[0008] S2. Simulate the air and foam introduced during the flotation process based on the simulation model. Construct a unified calculation method and interaction mode based on the force relationship between the foam and the fluid to perform gas-liquid coupling between the foam and the slurry.

[0009] S3. Based on multiphase flow and surface tension simulation methods, and combined with flotation reagents to change the hydrophilicity and hydrophobicity of mineral particles, a simulation model of hydrophilic and hydrophobic flocs is constructed to complete the multiphase fluid environment in the flotation cell and the solid-liquid coupling between mineral particles.

[0010] Optionally, in step S1, a multiphase flow simulation model of slurry and flotation reagents based on the volume fraction method is established, including:

[0011] By analyzing the physical and chemical composition of the slurry and flotation reagents, the properties of multiple flow phases in the multiphase flow at the start of the simulation were set.

[0012] The fluid mixing and separation process of slurry and flotation reagents was simulated using a volume fraction-based multiphase flow particle method.

[0013] Based on the Smooth Particle Hydrodynamics (SPH) method, momentum change analysis was performed on the multiphase flow formed by slurry and flotation reagents, and a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method was established.

[0014] Optionally, in step S2, the air and foam introduced during the flotation process are simulated based on a simulation model. A unified calculation method and interaction mode are constructed according to the force relationship between the foam and the fluid, and gas-liquid coupling between the foam and the slurry is performed, including:

[0015] Based on the simulation model, a bubble model is constructed for flotation foam, and buoyancy is applied to the gas particles.

[0016] Based on the force relationship between foam and fluid, a unified calculation method and interaction mode are constructed. A surface detection mechanism is built to calculate the gas-liquid surface tension and gas-liquid drag force at the gas-liquid interface, and to carry out the gas-liquid interaction and coupling between foam and slurry.

[0017] Optionally, a unified calculation method and interaction mechanism are constructed based on the force relationship existing within the foam and fluid, and a surface detection mechanism is built to calculate the gas-liquid surface tension and gas-liquid drag force at the gas-liquid interface, including:

[0018] Based on the bubble model, the interaction between bubbles is achieved by setting fixed shapes for air particles inside the bubble and setting fluid particles on the bubble surface.

[0019] The density of liquid particles around the gas particles is estimated using a smooth kernel function, and the buoyancy force on the gas particles in the vertical direction is constructed by calculating the density difference between the liquid above and below the gas particles.

[0020] A bubble surface detection mechanism is constructed based on the coverage vector to identify the particles on the bubble surface. An adhesion force is set between the bubble and the slurry to obtain the adhesion phenomenon of mineral particles on the bubble surface.

[0021] Based on the interparticle interaction force (IIF) model, a paired force model that satisfies momentum conservation is constructed to calculate the gas-liquid surface tension of flotation foam. The drag force between gas and liquid particles is calculated based on the velocity difference between gas and liquid particles and the drag coefficient.

[0022] Optionally, in step S3, based on multiphase flow and surface tension simulation methods, and combined with the flotation reagents altering the hydrophilicity and hydrophobicity of mineral particles, a simulation model of hydrophilic-hydrophobic flocs is constructed to complete the multiphase fluid environment within the flotation cell and the solid-liquid coupling between mineral particles, including:

[0023] The surface tension of fluids is calculated based on the paired force model. By combining the contact angle and the Young-Laplace equation, the hydrophilic and hydrophobic effects of mineral particles under the combined action of solid and liquid are obtained.

[0024] By combining the volume fraction scheme of the multiphase flow model, the surface tension of the fluid is adjusted during the mixing and separation process, and the hydrophilic and hydrophobic characteristics of mineral particles are changed by flotation reagents.

[0025] A solid-liquid bidirectional coupling mechanism was established, the interfacial forces between fluid and solid and between solid and solid were calculated, a simulation model of hydrophilic and hydrophobic flocs was constructed, and the solid-liquid coupling between the multiphase fluid environment and mineral particles in the flotation cell was completed.

[0026] Optionally, the surface tension of the fluid is calculated based on a paired force model, and combined with the contact angle and the Young-Laplace equation, the hydrophilic and hydrophobic effects of mineral particles under solid-liquid interaction are obtained, including:

[0027] The relationship between the cosine of the contact angle and the surface tension is established based on the Young-Laplace equation, and the pairing forces between fluid-fluid particles and between fluid-solid particles are calculated.

[0028] Based on the difference in the density of particle arrangement inside solids and liquids, the sampling coefficient is determined and adjusted, and the pairwise forces of target particle i and all adjacent particles j are summed to obtain the hydrophilic and hydrophobic effects of mineral particles under the combined action of solid and liquid.

[0029] Optionally, a solid-liquid bidirectional coupling mechanism is established to calculate the interfacial forces between fluid and solid and between solid and solid, including:

[0030] By setting rigid particles and fluid particles to have the same pressure value, the interfacial force from the solid particles to the fluid particles is mirrored and applied to their respective solid particles, thus achieving bidirectional coupling.

[0031] The density deviation caused by solid particle contact is calculated, and the interfacial force between solids is constructed as a pressure force. Based on the continuity equation, the pressure is calculated according to the Jacobian iteration.

[0032] On the other hand, a solid-liquid-gas multiphase simulation device for foam flotation processes is provided. This device is applied to a solid-liquid-gas multiphase simulation method for foam flotation processes. The device includes:

[0033] The model building module is used to obtain the multiphase flow of slurry and flotation reagents during the flotation process, perform fluid dynamics and mixture theory analysis on the multiphase flow, and establish a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method.

[0034] The gas-liquid coupling module is used to simulate the air and foam introduced during the flotation process based on the simulation model. It constructs a unified calculation method and interaction mode based on the force relationship between the foam and the fluid to perform gas-liquid coupling between the foam and the slurry.

[0035] The solid-liquid coupling module is used to construct a simulation model of hydrophilic and hydrophobic flocs by combining multiphase flow and surface tension simulation methods with flotation reagents to change the hydrophilic and hydrophobic properties of mineral particles, thereby completing the solid-liquid coupling between the multiphase fluid environment in the flotation cell and the mineral particles.

[0036] Optionally, the model building module is used to set multiple flow phase properties of the multiphase flow at the start of the simulation by analyzing the physical and chemical composition of the slurry and flotation reagents;

[0037] The fluid mixing and separation process of slurry and flotation reagents was simulated using a volume fraction-based multiphase flow particle method.

[0038] Based on the Smooth Particle Hydrodynamics (SPH) method, momentum change analysis was performed on the multiphase flow formed by slurry and flotation reagents, and a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method was established.

[0039] On the other hand, a solid-liquid-gas multiphase simulation device for a foam flotation process is provided. The solid-liquid-gas multiphase simulation device for a foam flotation process includes: a processor; a memory, wherein the memory stores computer-readable instructions, and when the computer-readable instructions are executed by the processor, any one of the methods described above for solid-liquid-gas multiphase simulation of a foam flotation process is implemented.

[0040] On the other hand, a computer-readable storage medium is provided, wherein at least one instruction is stored therein, the at least one instruction being loaded and executed by a processor to implement any of the above-described solid-liquid-gas multiphase simulation methods for foam flotation processes.

[0041] The beneficial effects of the technical solutions provided by the embodiments of the present invention include at least the following:

[0042] This invention collects multimodal data from the field and constructs a complete physical simulation method for the foam flotation process. It models substances such as slurry, flotation reagents, mineral particles, and foam, and performs simulation calculations on the interaction and coupling in the overall solid-liquid-gas multiphase environment, thereby realizing the visualization of the foam flotation process.

[0043] Applying numerical computation methods from the field of computational fluid dynamics to actual industrial auxiliary processes enables interdisciplinary development. By modeling and calculating the interaction between the slurry and flotation reagents and the generated bubbles during flotation, the physical phenomena and process parameters in froth flotation can be accurately simulated and predicted. This will help optimize flotation conditions and improve the recovery rate of mineral particles and product quality.

[0044] Simulation experiments were conducted on different control parameters to simulate the flotation effect under different conditions, such as changing specific ore characteristics, reagent ratios, and equipment parameters. This optimized the control parameters of the flotation machine, significantly reducing the difficulty and workload for workers to adjust flotation parameters, while also reducing resource waste, thereby improving flotation grade and flotation efficiency.

[0045] The technology of this invention has good portability. This technology is not only applicable to simulation analysis of foam flotation processes, but can also be extended to other industrial applications involving computational analysis of complex multiphase coupled environments, such as tailings backfilling, the petroleum industry, and environmental remediation. Attached Figure Description

[0046] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0047] Figure 1 This is a flowchart of a solid-liquid-gas multiphase simulation method for a foam flotation process provided in an embodiment of the present invention;

[0048] Figure 2 This is a schematic diagram of the flotation machine during the flotation process;

[0049] Figure 3This is a schematic diagram of the volume fraction method for multiphase flow simulation provided in an embodiment of the present invention;

[0050] Figure 4 This is a schematic diagram of surface detection during the solid-liquid-gas coupling simulation process provided in this embodiment of the invention;

[0051] Figure 5 This is a schematic diagram illustrating the multiphase flow mixing state analysis of the stirring process of slurry and flotation reagents provided in an embodiment of the present invention;

[0052] Figure 6 This is a particle model and rendering effect diagram of air and liquid mixing to generate bubbles provided in the embodiments of the present invention;

[0053] Figure 7 This is a simulation diagram of the gradual merging of multi-scale bubbles contacting and exchanging air with each other, provided in an embodiment of the present invention.

[0054] Figure 8 This is a simulation diagram of the surface tension on the contact surface between a droplet and a solid under solid-liquid coupling provided in an embodiment of the present invention;

[0055] Figure 9 This is a block diagram of a solid-liquid-gas multiphase simulation device for a foam flotation process provided in an embodiment of the present invention;

[0056] Figure 10 This is a schematic diagram of the structure of a solid-liquid-gas multiphase simulation device for a foam flotation process provided in an embodiment of the present invention. Detailed Implementation

[0057] The technical solution of the present invention will now be described with reference to the accompanying drawings.

[0058] In embodiments of the present invention, words such as "exemplarily," "for example," etc., are used to indicate that something is an example, illustration, or description. Any embodiment or design described as "exemplary" in the present invention should not be construed as being more preferred or advantageous than other embodiments or designs. Specifically, the use of the word "exemplary" is intended to present the concept in a concrete manner. Furthermore, in embodiments of the present invention, the meaning expressed by "and / or" can be both, or either one.

[0059] In the embodiments of this invention, the terms "image" and "picture" may sometimes be used interchangeably. It should be noted that, without emphasizing the distinction between them, their intended meanings are consistent. Similarly, the terms "of," "corresponding (relevant)," and "corresponding" may sometimes be used interchangeably. It should be noted that, without emphasizing the distinction between them, their intended meanings are consistent.

[0060] In this embodiment of the invention, sometimes a subscript such as W1 may be mistakenly written as a non-subscript form such as W1. When the difference is not emphasized, the meaning they express is the same.

[0061] To make the technical problems, technical solutions and advantages of the present invention clearer, a detailed description will be given below in conjunction with the accompanying drawings and specific embodiments.

[0062] This invention provides a solid-liquid-gas multiphase simulation method for foam flotation processes. This method can be implemented using a solid-liquid-gas multiphase simulation device for foam flotation processes, which can be a terminal or a server. Figure 1 The flowchart shown is a solid-liquid-gas multiphase simulation method for a foam flotation process. Figure 2 This is a flow chart of the hot strip rolling process; the processing flow of this method may include the following steps:

[0063] S101. Obtain the multiphase flow composed of slurry and flotation reagents during the flotation process, perform fluid dynamics and mixture theory analysis on the multiphase flow, and establish a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method.

[0064] In one feasible implementation, step S101 involves establishing a multiphase flow simulation model of slurry and flotation reagents based on the volume fraction method, including:

[0065] By analyzing the physical and chemical composition of the slurry and flotation reagents, the properties of multiple flow phases in the multiphase flow at the start of the simulation were set.

[0066] The multiphase flow particle method based on volume fraction is used to simulate the fluid mixing and separation process of slurry and flotation reagents, representing the complex motion of continuous changes in their composition and properties;

[0067] Based on the Smooth Particle Hydrodynamics (SPH) method, momentum change analysis was performed on the multiphase flow formed by slurry and flotation reagents, and a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method was established.

[0068] In one feasible implementation, volume fractions are used to represent the content of different fluid phases within the fluid particles, such as slurry and flotation reagents, and the discretized governing equations of the hybrid model method are used to calculate the physical quantities involved in the fluid particles during the simulation process, so as to describe the distribution and motion state of the mixed multiphase flow of slurry and flotation reagents.

[0069] In one feasible implementation, when calculating the physical field of fluid particles in a macroscopically continuous model, the compressibility of the fluid under gravity and viscosity is considered according to the Navier-Stokes equations, and the volumetric incompressibility of the slurry and flotation reagent mixture is achieved by implicitly iteratively adjusting the pressure field according to the number density.

[0070] Based on the principles of mass and momentum conservation, the velocity difference between the fluid phases within the particle is calculated, and the volume fraction changes of each fluid phase within the particle caused by the interaction between multiple fluid phases are corrected.

[0071] S102. Simulate the air and foam introduced during the flotation process based on the simulation model. Construct a unified calculation method and interaction mode based on the force relationship between the foam and the fluid, and perform gas-liquid coupling between the foam and the slurry.

[0072] In one feasible implementation, in step S102, the air and foam introduced during the flotation process are simulated based on a simulation model. A unified calculation method and interaction mechanism are constructed based on the force relationship between the foam and the fluid, and gas-liquid coupling between the foam and the slurry is performed, including:

[0073] Based on the simulation model, a bubble model is constructed for flotation foam, and buoyancy is applied to the gas particles.

[0074] Based on the force relationship between foam and fluid, a unified calculation method and interaction mode are constructed. A surface detection mechanism is built to calculate the gas-liquid surface tension and gas-liquid drag force at the gas-liquid interface, and to carry out the gas-liquid interaction and coupling between foam and slurry.

[0075] In one feasible implementation, a unified calculation method and interaction mechanism are constructed based on the force relationship existing within the foam and fluid. A surface detection mechanism is then built to calculate the gas-liquid surface tension and gas-liquid drag force at the gas-liquid interface, including:

[0076] Based on the bubble model, the interaction between bubbles is achieved by setting fixed shapes for air particles inside the bubble and setting fluid particles on the bubble surface.

[0077] The density of liquid particles around the gas particles is estimated using a smooth kernel function, and the buoyancy force on the gas particles in the vertical direction is constructed by calculating the density difference between the liquid above and below the gas particles.

[0078] A bubble surface detection mechanism is constructed based on the coverage vector to identify the particles on the bubble surface. An adhesion force is set between the bubble and the slurry to obtain the adhesion phenomenon of mineral particles on the bubble surface.

[0079] Based on the inter-particle interaction force (IIF) model, a paired force model that satisfies momentum conservation is constructed to calculate the gas-liquid surface tension of flotation foam. The drag force between gas and liquid particles is calculated based on the velocity difference between gas and liquid particles and the drag coefficient.

[0080] In one feasible implementation, all SPH particles are assumed to be solid spheres of the same volume, and the coverage vector b of particle i is calculated according to formula (1). i ;

[0081] b i =∑ j r ij / |r ij | (1)

[0082] The determination of surface particles and internal particles is based on the coverage vector. If any adjacent particle j satisfies formula (2), then the i-th particle is determined to be an internal particle; otherwise, it is a surface particle.

[0083]

[0084] In one feasible implementation, based on the SPH discretization method, neighboring particles j that have a pairwise force relationship with the target particle i are determined by neighbor search;

[0085] The pairing forces between the target particle and its neighboring particles are calculated based on formula (3), and the pairing forces are summed to calculate the surface tension. In formula (3), f represents the pairing force, c represents the surface tension coefficient, m represents the particle mass, r represents the distance between particles i and j, and h represents the radius of the smooth core.

[0086]

[0087] The drag force between gas and liquid particles is calculated based on the velocity difference and drag coefficient of gas and liquid particles to simulate the effect of liquid motion on bubble motion. The drag force also acts on liquid particles to ensure momentum conservation.

[0088] S103. Based on multiphase flow and surface tension simulation methods, and combined with flotation reagents to change the hydrophilicity and hydrophobicity of mineral particles, a simulation model of hydrophilic and hydrophobic flocs is constructed to complete the multiphase fluid environment in the flotation cell and the solid-liquid coupling between mineral particles.

[0089] In one feasible implementation, in step S103, based on multiphase flow and surface tension simulation methods, and combined with the properties of flotation reagents altering the hydrophilicity and hydrophobicity of mineral particles, a simulation model of hydrophilic-hydrophobic flocs is constructed to complete the multiphase fluid environment within the flotation cell and the solid-liquid coupling between mineral particles, including:

[0090] The surface tension of fluids is calculated based on the paired force model. By combining the contact angle and the Young-Laplace equation, the hydrophilic and hydrophobic effects of mineral particles under the combined action of solid and liquid are obtained.

[0091] By combining the volume fraction scheme of the multiphase flow model, the surface tension of the fluid is adjusted during the mixing and separation process, and the hydrophilic and hydrophobic characteristics of mineral particles are changed by flotation reagents.

[0092] A solid-liquid bidirectional coupling mechanism was established, the interfacial forces between fluid and solid and between solid and solid were calculated, a simulation model of hydrophilic and hydrophobic flocs was constructed, and the solid-liquid coupling between the multiphase fluid environment and mineral particles in the flotation cell was completed.

[0093] In one feasible implementation, the surface tension of the fluid is calculated based on a paired force model, and combined with the contact angle and the Young-Laplace equation, the hydrophilic and hydrophobic effects of mineral particles under the combined action of solid and liquid are obtained, including:

[0094] The relationship between the cosine of the contact angle and the surface tension is established based on the Young-Laplace equation, and the pairing forces between fluid-fluid particles and between fluid-solid particles are calculated.

[0095] Based on the difference in the density of particle arrangement inside solids and liquids, the sampling coefficient is determined and adjusted, and the pairwise forces of target particle i and all adjacent particles j are summed to obtain the hydrophilic and hydrophobic effects of mineral particles under the combined action of solid and liquid.

[0096] In one feasible implementation, by establishing a solid-liquid bidirectional coupling mechanism and calculating the interfacial forces between fluid-solid and solid-solid, it is possible to avoid pressure field calculation errors and suppress the penetration or void generation of mineral particles and fluid during the coupling process.

[0097] In one feasible implementation, a solid-liquid bidirectional coupling mechanism is established to calculate the interfacial forces between the fluid and solid and between solids, including:

[0098] By setting rigid particles and fluid particles to have the same pressure value, the interfacial force from the solid particles to the fluid particles is mirrored and applied to their respective solid particles, thus achieving bidirectional coupling.

[0099] The density deviation caused by solid particle contact is calculated, and the interfacial force between solids is constructed as the pressure force. Based on the continuity equation, the pressure is calculated according to the Jacobian iteration to avoid the calculation error of the pressure field.

[0100] In the examples of this invention, Figure 2This is a schematic diagram of the flotation machine's operation during the flotation process provided by the present invention. The slurry is injected into the flotation machine, and air is drawn into the impeller cavity and mixed with the slurry as the impeller rotates. Under the action of the vortex motion of the slurry, the drawn-in air is sheared and dispersed into bubbles of varying sizes. Mineral particles in the slurry selectively adsorb onto the surface of the bubbles due to their different hydrophobicities, and float to the surface of the slurry along with the bubbles. As the bubbles continuously rise, a foam layer enriched with mineral particles is formed on the surface of the slurry. This foam layer, containing the concentrated concentrate, is discharged from the flotation cell to the thickener as the flotation product, thus achieving the separation of mineral particles.

[0101] Figure 3 The figure shows a volume fraction method for multiphase flow simulation provided in this embodiment of the invention. Different fluid phases contained in the particles are distinguished by different colors. The arrows in Figure (a) indicate the direction of phase velocity and particle velocity. Figure (b) shows the process of calculating drift velocity by the vector difference between phase velocity and particle velocity. The arrows in Figure (c) indicate the direction of drift velocity of each phase. Figure 4 This is a schematic diagram of surface detection in the solid-liquid-gas coupling simulation process provided in the embodiment of the present invention. In the left figure, the particles represented by the dashed lines are the current particles, and the particles represented by the solid lines are the neighboring particles; the arrows in the right figure are the coverage vectors that need to be calculated in the method.

[0102] In this invention, the effectiveness of the multiphase flow simulation of the mixing of slurry and flotation reagents is verified through experiments. Figure 5 This experiment simulates a multiphase flow process involving the mixing of ore pulp and flotation reagents. At the start of the experiment, the blue fluid simulating the ore pulp and the red fluid simulating the flotation reagent were positioned on opposite sides of the agitator, with a clear boundary between them. This simulated the state of separation when the ore pulp and flotation reagent were first added to the flotation cell and before mixing. During the simulation, the agitator continuously stirred the fluids representing the ore pulp and flotation reagents. The red and blue fluid phases gradually mixed at their contact points, resulting in the appearance of yellow and green fluids representing the mixed fluid phases. As the mixing time increased, the degree of mixing between the ore pulp and flotation reagents gradually increased.

[0103] This experiment dynamically represents the mixing process of ore slurry and flotation reagents. During mixing, the contact area between the ore slurry and flotation reagents continuously increases, thereby promoting the mixing of the two phases. The ore slurry and flotation reagents are miscible, so the two liquids continuously dissolve during mixing, resulting in a complex multiphase flow that mixes various substances such as ore particles, water, and flotation reagents.

[0104] In the invention examples, the effectiveness of the simulated process of generating bubbles during the stirring of a liquid mixture of slurry and flotation reagents was verified through experiments. Figure 6The process of bubble formation in the mixture of slurry and flotation reagents during stirring was simulated. An inclined water injection method was used in the experiment. When water is poured into a container from the air at an angle, the gravitational potential energy of the water is converted into the kinetic energy of the falling water column due to gravity. The falling water column collides with the initially stationary water in the container due to their different velocities, creating numerous tiny gaps that allow air to enter. The air surrounded by water naturally forms bubbles, realistically simulating the bubble formation process during inclined water injection.

[0105] like Figure 6 As shown, if Brownian motion is not considered, the trajectory of air particles will be periodic. Therefore, perturbation motion patterns can be achieved by anisotropically altering the angle of motion of air particles. In simulation experiments, different bubble effects can be achieved by adjusting the Brownian coefficient k. In the series of experiments shown in the figure, the bubble simulation exhibited the best results when k = 0.8.

[0106] In the invention examples, the effectiveness of the simulation model of the interaction between bubbles generated during the foam flotation process is verified through experiments. Figure 7 This experiment simulates the mass transfer between multiple scale bubbles during the froth flotation process. During froth flotation, the continuous stirring of the pulp and flotation reagent mixture introduces air, forming numerous bubbles of varying sizes. When these bubbles come into contact, air transfer occurs—the merging of the boundaries between adjacent bubbles—leading to air transport within the bubbles. Smaller bubbles, due to their higher internal pressure, compress air into larger bubbles, thus simulating the merging of multiple small bubbles into a single larger bubble during froth flotation.

[0107] This experiment can dynamically represent the interaction process between different bubbles. Figure 7 In the diagram, five larger bubbles come into contact with each other and exchange air. Smaller bubbles tend to compress air into a larger bubble. The five bubbles gradually merge. The radii of bubbles A, B, C, D, and E are 0.22 m, 0.2 m, 0.15 m, 0.1 m, and 0.05 m, respectively. Two bubbles with a larger volume difference will have a faster mass transfer rate. In the last sub-diagram, because the volume ratio of two bubbles is close to 0.8, the air transport rate between them is extremely slow.

[0108] In the invention examples, the effectiveness of the simulation model of solid-liquid coupling and surface tension between multiphase fluid and mineral particles in the flotation cell is verified by experiments. Figure 8Experiments were conducted to investigate the coupling and surface tension effects between droplets and solid surfaces. Mean curvature flow induces surface tension at the liquid boundary between the liquid and air. When droplets flow on a solid surface, their contact line is further influenced by the hydrophobicity of the solid material. Different types of minerals may exhibit different hydrophobicities during flotation, leading to different droplet shapes. Once the coupling motion between the liquid and solid stabilizes, the contact angle describes the hydrophilicity or hydrophobicity of the mineral particles. The simulation model accurately simulates the solid-liquid coupling and surface tension phenomena in the flotation cell.

[0109] This experiment can represent the solid-liquid coupling process between multiphase fluids and mineral particles, as well as the diverse surface tension effects caused by different contact angles. For example... Figure 8 The diagram illustrates the coupling process of a droplet falling onto a solid surface and the stationary shape of the droplet under different surface tension coefficients. Adjusting the surface tension coefficient produces an effect similar to modifying the contact angle. Figure 8 From left to right, the droplets in the middle are droplets with surface tension coefficients of 1.0, 0.4, and 0.2 on an ideal non-wetting surface, respectively.

[0110] In this embodiment of the invention, corresponding maintenance strategies can be adopted according to the severity of the fault, thereby shortening system repair and downtime, reducing operating costs of the hot rolling process, improving enterprise economic efficiency, and enhancing market competitiveness. Efficient interconnection between the entire horizontal process and multiple vertical levels is achieved. This will help to better understand problems in the production process and take timely measures for improvement and optimization. At the same time, it also provides strong support for energy efficiency management and quality control in the production process.

[0111] Figure 9 This is a block diagram of a solid-liquid-gas multiphase simulation apparatus for a foam flotation process, according to an exemplary embodiment. The apparatus is used for a solid-liquid-gas multiphase simulation method for a foam flotation process. (Refer to...) Figure 9 The device includes a model building module 310, a gas-liquid coupling module 320, and a solid-liquid coupling module 330. For ease of explanation, Figure 9 Only the main components of the full-process visualization device 300 are shown:

[0112] The model building module 310 is used to obtain the multiphase flow composed of slurry and flotation reagents during the flotation process, perform fluid dynamics and mixture theory analysis on the multiphase flow, and establish a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method.

[0113] The gas-liquid coupling module 320 is used to simulate the air and foam introduced during the flotation process based on the simulation model. It constructs a unified calculation method and interaction mode based on the force relationship between the foam and the fluid to perform gas-liquid coupling between the foam and the slurry.

[0114] The solid-liquid coupling module 330 is used to construct a simulation model of hydrophilic and hydrophobic flocs by combining multiphase flow and surface tension simulation methods with flotation reagents to change the hydrophilic and hydrophobic properties of mineral particles, thereby completing the solid-liquid coupling between the multiphase fluid environment in the flotation cell and the mineral particles.

[0115] Optionally, the model building module 310 is used to set multiple flow phase properties of the multiphase flow at the start of the simulation by analyzing the physical and chemical composition of the slurry and flotation reagents.

[0116] The fluid mixing and separation process of slurry and flotation reagents was simulated using a volume fraction-based multiphase flow particle method.

[0117] Based on the Smooth Particle Hydrodynamics (SPH) method, momentum change analysis was performed on the multiphase flow formed by slurry and flotation reagents, and a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method was established.

[0118] Optionally, the gas-liquid coupling module 320 is used to construct a bubble model for flotation foam based on a simulation model and apply buoyancy to the gas particles;

[0119] Based on the force relationship between foam and fluid, a unified calculation method and interaction mode are constructed. A surface detection mechanism is built to calculate the gas-liquid surface tension and gas-liquid drag force at the gas-liquid interface, and to carry out the gas-liquid interaction and coupling between foam and slurry.

[0120] Optionally, a unified calculation method and interaction mechanism are constructed based on the force relationship existing within the foam and fluid, and a surface detection mechanism is built to calculate the gas-liquid surface tension and gas-liquid drag force at the gas-liquid interface, including:

[0121] Based on the bubble model, the interaction between bubbles is achieved by setting fixed shapes for air particles inside the bubble and setting fluid particles on the bubble surface.

[0122] The density of liquid particles around the gas particles is estimated using a smooth kernel function, and the buoyancy force on the gas particles in the vertical direction is constructed by calculating the density difference between the liquid above and below the gas particles.

[0123] A bubble surface detection mechanism is constructed based on the coverage vector to identify the particles on the bubble surface. An adhesion force is set between the bubble and the slurry to obtain the adhesion phenomenon of mineral particles on the bubble surface.

[0124] Based on the interparticle interaction force (IIF) model, a paired force model that satisfies momentum conservation is constructed to calculate the gas-liquid surface tension of flotation foam. The drag force between gas and liquid particles is calculated based on the velocity difference between gas and liquid particles and the drag coefficient.

[0125] Optionally, the solid-liquid coupling module 330 is used to calculate the surface tension of the fluid based on the paired force model, and combine the contact angle and the Young-Laplace equation to obtain the hydrophilic and hydrophobic effects of mineral particles under the combined action of solid and liquid.

[0126] By combining the volume fraction scheme of the multiphase flow model, the surface tension of the fluid is adjusted during the mixing and separation process, and the hydrophilic and hydrophobic characteristics of mineral particles are changed by flotation reagents.

[0127] A solid-liquid bidirectional coupling mechanism was established, the interfacial forces between fluid and solid and between solid and solid were calculated, a simulation model of hydrophilic and hydrophobic flocs was constructed, and the solid-liquid coupling between the multiphase fluid environment and mineral particles in the flotation cell was completed.

[0128] Optionally, the surface tension of the fluid is calculated based on a paired force model, and combined with the contact angle and the Young-Laplace equation, the hydrophilic and hydrophobic effects of mineral particles under solid-liquid interaction are obtained, including:

[0129] The relationship between the cosine of the contact angle and the surface tension is established based on the Young-Laplace equation, and the pairing forces between fluid-fluid particles and between fluid-solid particles are calculated.

[0130] Based on the difference in the density of particle arrangement inside solids and liquids, the sampling coefficient is determined and adjusted, and the pairwise forces of target particle i and all adjacent particles j are summed to obtain the hydrophilic and hydrophobic effects of mineral particles under the combined action of solid and liquid.

[0131] Optionally, a solid-liquid bidirectional coupling mechanism is established to calculate the interfacial forces between fluid and solid and between solid and solid, including:

[0132] By setting rigid particles and fluid particles to have the same pressure value, the interfacial force from the solid particles to the fluid particles is mirrored and applied to their respective solid particles, thus achieving bidirectional coupling.

[0133] The density deviation caused by solid particle contact is calculated, and the interfacial force between solids is constructed as a pressure force. Based on the continuity equation, the pressure is calculated according to the Jacobian iteration.

[0134] This invention enables the adoption of corresponding maintenance strategies based on the severity of faults, thereby shortening system repair and downtime, reducing operating costs in the hot rolling process, improving enterprise economic efficiency, and enhancing market competitiveness. Efficient interconnection between the entire horizontal process and multiple vertical levels is achieved. This will help to better understand problems in the production process and take timely measures for improvement and optimization. Simultaneously, it also provides strong support for energy efficiency management and quality control in the production process.

[0135] Figure 10This is a schematic diagram of the structure of a solid-liquid-gas multiphase simulation device for a foam flotation process provided in an embodiment of the present invention, as shown below. Figure 10 As shown, the solid-liquid-gas multiphase simulation equipment for the foam flotation process may include the above-mentioned... Figure 9 The illustrated solid-liquid-gas multiphase simulation device for a foam flotation process. Optionally, the solid-liquid-gas multiphase simulation device 410 for a foam flotation process may include a processor 2001.

[0136] Optionally, the solid-liquid-gas multiphase simulation device 410 for the foam flotation process may also include a memory 2002 and a transceiver 2003.

[0137] The processor 2001, memory 2002, and transceiver 2003 can be connected via a communication bus.

[0138] The following is combined Figure 10 The components of the solid-liquid-gas multiphase simulation device 410 for the foam flotation process are described in detail below:

[0139] The processor 2001 is the control center of the solid-liquid-gas multiphase simulation device 410 for the foam flotation process. It can be a single processor or a collective term for multiple processing elements. For example, the processor 2001 can be one or more central processing units (CPUs), application-specific integrated circuits (ASICs), or one or more integrated circuits configured to implement embodiments of the present invention, such as one or more digital signal processors (DSPs), or one or more field-programmable gate arrays (FPGAs).

[0140] Optionally, the processor 2001 can perform various functions of the solid-liquid-gas multiphase simulation device 410 for the foam flotation process by running or executing software programs stored in the memory 2002 and calling data stored in the memory 2002.

[0141] In a specific implementation, as one example, the processor 2001 may include one or more CPUs, for example... Figure 10 CPU0 and CPU1 are shown in the diagram.

[0142] In a specific implementation, as one example, the solid-liquid-gas multiphase simulation device 410 for the foam flotation process may also include multiple processors, for example... Figure 10The processors 2001 and 2004 are shown. Each of these processors can be a single-core processor or a multi-core processor. Here, "processor" can refer to one or more devices, circuits, and / or processing cores used to process data (e.g., computer program instructions).

[0143] The memory 2002 is used to store the software program that executes the present invention, and is controlled by the processor 2001 to execute it. The specific implementation method can be referred to the above method embodiment, and will not be repeated here.

[0144] Optionally, the memory 2002 may be a read-only memory (ROM) or other type of static storage device capable of storing static information and instructions, random access memory (RAM) or other type of dynamic storage device capable of storing information and instructions, or electrically erasable programmable read-only memory (EEPROM), compact disc read-only memory (CD-ROM) or other optical disc storage, optical disc storage (including compressed optical discs, laser discs, optical discs, digital universal optical discs, Blu-ray discs, etc.), magnetic disk storage media or other magnetic storage devices, or any other medium capable of carrying or storing desired program code in the form of instructions or data structures and accessible by a computer, but not limited thereto. The memory 2002 may be integrated with the processor 2001 or exist independently, and may be connected via the interface circuit of the solid-liquid-gas multiphase simulation device 410 for the foam flotation process. Figure 10 (Not shown in the figure) is coupled to processor 2001, and the embodiments of the present invention do not specifically limit this.

[0145] The transceiver 2003 is used to communicate with network devices or with terminal devices.

[0146] Alternatively, transceiver 2003 may include a receiver and a transmitter. Figure 10 (Not shown separately). The receiver is used to implement the receiving function, and the transmitter is used to implement the sending function.

[0147] Alternatively, the transceiver 2003 can be integrated with the processor 2001 or exist independently, and can be connected via the interface circuit of the solid-liquid-gas multiphase simulation device 410 for the foam flotation process. Figure 10 (Not shown in the figure) is coupled to processor 2001, and the embodiments of the present invention do not specifically limit this.

[0148] It should be noted that, Figure 10 The structure of the solid-liquid-gas multiphase simulation device 410 for the foam flotation process shown in the figure does not constitute a limitation on the router. The actual knowledge structure identification device may include more or fewer components than shown, or combine certain components, or have different component arrangements.

[0149] Furthermore, the technical effects of the solid-liquid-gas multiphase simulation device 410 for the foam flotation process can be referred to the technical effects of the solid-liquid-gas multiphase simulation method for the foam flotation process described in the above method embodiments, and will not be repeated here.

[0150] It should be understood that the processor 2001 in this embodiment of the invention can be a central processing unit (CPU), or it can be other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor can be a microprocessor or any conventional processor.

[0151] It should also be understood that the memory in the embodiments of the present invention can be volatile memory or non-volatile memory, or may include both volatile and non-volatile memory. The non-volatile memory can be read-only memory (ROM), programmable read-only memory (PROM), erasable programmable read-only memory (EPROM), electrically erasable programmable read-only memory (EEPROM), or flash memory. The volatile memory can be random access memory (RAM), which is used as an external cache. By way of example, but not limitation, many forms of random access memory (RAM) are available, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate synchronous DRAM (DDR SDRAM), enhanced synchronous DRAM (ESDRAM), synchronous linked DRAM (SLDRAM), and direct rambus RAM (DR RAM).

[0152] The above embodiments can be implemented, in whole or in part, by software, hardware (such as circuits), firmware, or any other combination thereof. When implemented using software, the above embodiments can be implemented, in whole or in part, as a computer program product. The computer program product includes one or more computer instructions or computer programs. When the computer instructions or computer programs are loaded or executed on a computer, all or part of the processes or functions described in the embodiments of the present invention are generated. The computer can be a general-purpose computer, a special-purpose computer, a computer network, or other programmable device. The computer instructions can be stored in a computer-readable storage medium or transmitted from one computer-readable storage medium to another. For example, the computer instructions can be transmitted from one website, computer, server, or data center to another website, computer, server, or data center via wired (e.g., infrared, wireless, microwave, etc.) means. The computer-readable storage medium can be any available medium that a computer can access or a data storage device such as a server or data center that includes one or more sets of available media. The available medium can be a magnetic medium (e.g., floppy disk, hard disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium. A semiconductor medium can be a solid-state drive.

[0153] It should be understood that the term "and / or" in this article is merely a description of the relationship between related objects, indicating that three relationships can exist. For example, A and / or B can represent: A existing alone, A and B existing simultaneously, or B existing alone. A and B can be singular or plural. Additionally, the character " / " in this article generally indicates an "or" relationship between the preceding and following related objects, but it can also represent an "and / or" relationship. Please refer to the context for a more accurate understanding.

[0154] In this invention, "at least one" means one or more, and "more than one" means two or more. "At least one of the following" or similar expressions refer to any combination of these items, including any combination of a single item or a plurality of items. For example, at least one of a, b, or c can represent: a, b, c, ab, ac, bc, or abc, where a, b, and c can be a single item or multiple items.

[0155] It should be understood that, in various embodiments of the present invention, the order of the above-mentioned process numbers does not imply the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiments of the present invention.

[0156] Those skilled in the art will recognize that the units and algorithm steps of the various examples described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementations should not be considered beyond the scope of this invention.

[0157] Those skilled in the art will clearly understand that, for the sake of convenience and brevity, the specific working processes of the devices, apparatuses, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here.

[0158] In the several embodiments provided by this invention, it should be understood that the disclosed devices, apparatuses, and methods can be implemented in other ways. For example, the apparatus embodiments described above are merely illustrative; for instance, the division of units is only a logical functional division, and in actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated into another device, or some features may be ignored or not executed. Furthermore, the coupling or direct coupling or communication connection shown or discussed may be through some interfaces; the indirect coupling or communication connection between devices or units may be electrical, mechanical, or other forms.

[0159] The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the units can be selected to achieve the purpose of this embodiment according to actual needs.

[0160] In addition, the functional units in the various embodiments of the present invention can be integrated into one processing unit, or each unit can exist physically separately, or two or more units can be integrated into one unit.

[0161] If the aforementioned functions are implemented as software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0162] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.

Claims

1. A solid-liquid-gas multiphase simulation method for foam flotation processes, characterized in that, The method includes: S1. Obtain the multiphase flow composed of slurry and flotation reagents during the flotation process, perform fluid dynamics and mixture theory analysis on the multiphase flow, and establish a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method. By analyzing the physical and chemical composition of the slurry and flotation reagents, the properties of multiple flow phases in the multiphase flow at the start of the simulation were set. The fluid mixing and separation process of slurry and flotation reagents was simulated using a volume fraction-based multiphase flow particle method. Momentum change analysis of multiphase flow formed by slurry and flotation reagents was performed based on the Smooth Particle Hydrodynamics (SPH) method, and a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method was established. S2. Based on the simulation model, the air and foam introduced during the flotation process are simulated. A unified calculation method and interaction mode are constructed according to the force relationship between the foam and the fluid, and the gas-liquid coupling between the foam and the slurry is carried out. Based on the simulation model, a bubble model is constructed for flotation foam, and buoyancy is applied to the gas particles. Based on the force relationship between foam and fluid, a unified calculation method and interaction mode are constructed. A surface detection mechanism is built to calculate the gas-liquid surface tension and gas-liquid drag force at the gas-liquid interface, and to carry out the gas-liquid interaction and coupling between foam and slurry. Based on the bubble model, interaction between bubbles is achieved by setting fixed shapes for air particles inside the bubble and setting fluid particles on the bubble surface. The density of liquid particles around the gas particles is estimated using a smooth kernel function, and the buoyancy force on the gas particles in the vertical direction is constructed by calculating the density difference between the liquid above and below the gas particles. A bubble surface detection mechanism is constructed based on the coverage vector to identify the particles on the bubble surface. An adhesion force is set between the bubble and the slurry to obtain the adhesion phenomenon of mineral particles on the bubble surface. Based on the interparticle interaction force IIF model, a pairing force model that satisfies momentum conservation is constructed to calculate the gas-liquid surface tension of flotation foam, and the drag force between gas and liquid particles is calculated based on the velocity difference between gas particles and liquid particles and the drag coefficient. S3. Based on multiphase flow and surface tension simulation methods, and combined with flotation reagents to change the hydrophilicity and hydrophobicity of mineral particles, a simulation model of hydrophilic and hydrophobic flocs is constructed to complete the multiphase fluid environment in the flotation cell and the solid-liquid coupling between mineral particles.

2. The method according to claim 1, characterized in that, In step S3, based on multiphase flow and surface tension simulation methods, and combined with the flotation reagents altering the hydrophilicity and hydrophobicity of mineral particles, a simulation model of hydrophilic-hydrophobic flocs is constructed to complete the multiphase fluid environment within the flotation cell and the solid-liquid coupling between mineral particles, including: The surface tension of fluids is calculated based on the paired force model. By combining the contact angle and the Young-Laplace equation, the hydrophilic and hydrophobic effects of mineral particles under the combined action of solid and liquid are obtained. By combining the volume fraction scheme of the multiphase flow model, the surface tension of the fluid is adjusted during the mixing and separation process, and the hydrophilic and hydrophobic characteristics of mineral particles are changed by flotation reagents. A solid-liquid bidirectional coupling mechanism was established, the interfacial forces between fluid and solid and between solid and solid were calculated, a simulation model of hydrophilic and hydrophobic flocs was constructed, and the solid-liquid coupling between the multiphase fluid environment and mineral particles in the flotation cell was completed.

3. The method according to claim 2, characterized in that, The surface tension of fluids is calculated based on a paired force model. Combined with contact angle and the Young-Laplace equation, the hydrophilic and hydrophobic effects of mineral particles under solid-liquid interaction are obtained, including: The relationship between the cosine of the contact angle and the surface tension is established based on the Young-Laplace equation, and the pairing forces between fluid-fluid particles and between fluid-solid particles are calculated. Based on the difference in the density of particle arrangement inside solids and liquids, the sampling coefficient is determined and adjusted, and the pairwise forces of target particle i and all adjacent particles j are summed to obtain the hydrophilic and hydrophobic effects of mineral particles under the combined action of solid and liquid.

4. The method according to claim 3, characterized in that, The establishment of the solid-liquid bidirectional coupling mechanism and the calculation of interfacial forces between fluid-solid and solid-solid interfaces include: By setting rigid particles and fluid particles to have the same pressure value, the interfacial force from the solid particles to the fluid particles is mirrored onto their respective solid particles, thus achieving bidirectional coupling. The density deviation caused by solid particle contact is calculated, and the interfacial force between solids is constructed as the pressure force. Based on the continuity equation, the pressure is calculated according to the Jacobian iteration.

5. A solid-liquid-gas multiphase simulation device for foam flotation processes, characterized in that, The device includes: The model building module is used to obtain the multiphase flow composed of slurry and flotation reagents during the flotation process, perform fluid dynamics and mixture theory analysis on the multiphase flow, and establish a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method. By analyzing the physical and chemical composition of the slurry and flotation reagents, the properties of multiple flow phases in the multiphase flow at the start of the simulation were set. The fluid mixing and separation process of slurry and flotation reagents was simulated using a volume fraction-based multiphase flow particle method. Momentum change analysis of multiphase flow formed by slurry and flotation reagents was performed based on the Smooth Particle Hydrodynamics (SPH) method, and a simulation model of multiphase flow of slurry and flotation reagents based on the volume fraction method was established. The gas-liquid coupling module is used to simulate the air and foam introduced during the flotation process based on the simulation model. It constructs a unified calculation method and interaction mode based on the force relationship between the foam and the fluid to perform gas-liquid coupling between the foam and the slurry. Based on the simulation model, a bubble model is constructed for flotation foam, and buoyancy is applied to the gas particles. Based on the force relationship between foam and fluid, a unified calculation method and interaction mode are constructed. A surface detection mechanism is built to calculate the gas-liquid surface tension and gas-liquid drag force at the gas-liquid interface, and to carry out the gas-liquid interaction and coupling between foam and slurry. Based on the bubble model, interaction between bubbles is achieved by setting fixed shapes for air particles inside the bubble and setting fluid particles on the bubble surface. The density of liquid particles around the gas particles is estimated using a smooth kernel function, and the buoyancy force on the gas particles in the vertical direction is constructed by calculating the density difference between the liquid above and below the gas particles. A bubble surface detection mechanism is constructed based on the coverage vector to identify the particles on the bubble surface. An adhesion force is set between the bubble and the slurry to obtain the adhesion phenomenon of mineral particles on the bubble surface. Based on the interparticle interaction force IIF model, a pairing force model that satisfies momentum conservation is constructed to calculate the gas-liquid surface tension of flotation foam, and the drag force between gas and liquid particles is calculated based on the velocity difference between gas particles and liquid particles and the drag coefficient. The solid-liquid coupling module is used to construct a simulation model of hydrophilic and hydrophobic flocs by combining multiphase flow and surface tension simulation methods with flotation reagents to change the hydrophilic and hydrophobic properties of mineral particles, thereby completing the solid-liquid coupling between the multiphase fluid environment in the flotation cell and the mineral particles.

6. A solid-liquid-gas multiphase simulation device for foam flotation processes, characterized in that, The solid-liquid-gas multiphase simulation equipment for the foam flotation process includes: processor; A memory storing computer-readable instructions that, when executed by the processor, implement the method as described in any one of claims 1 to 4.

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