{"title":"Second-order moment of kinetic theory of granular flow for multi-type particles","authors":"Dan Sun","doi":"10.1016/j.powtec.2024.120029","DOIUrl":null,"url":null,"abstract":"<div><p>In this study, a numerical method, second-order moment of kinetic theory of granular flow for multi-type particles (SOM-KTGF-MP) is proposed. The SOM-KTGF is used for particle flow with higher concentration and high inertia where inter-particle collisions exist; however, the particle fluctuation is far from equilibrium to satisfy the Boussinesq hypothesis. The model, SOM-KTGF-MP, is derived here as an extension of SOM-KTGF for mono-sized particles to be applied to multi-type particles with different sizes, densities, and other properties. In SOM-KTGF-MP, the conservation equations of the volume fraction, mean velocity, and second-order moment of the fluctuating velocity of particles are solved for each type of particle species in the multi-type mixture. A binary mixture of particles in a simple shear flow was predicted using the SOM-KTGF-MP method. The result was in good agreement with the prediction made by the discrete molecular dynamics method, when considering the non-equipartition of particle velocity between particle species and the non-equipartition of energy between the normal components of the second-order moment of the fluctuating velocity of particles. The SOM-KTGF-MP method increased the fidelity of the prediction of the binary mixture flow of particles based on the kinetic theory.</p></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":null,"pages":null},"PeriodicalIF":4.5000,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Powder Technology","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0032591024006739","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, a numerical method, second-order moment of kinetic theory of granular flow for multi-type particles (SOM-KTGF-MP) is proposed. The SOM-KTGF is used for particle flow with higher concentration and high inertia where inter-particle collisions exist; however, the particle fluctuation is far from equilibrium to satisfy the Boussinesq hypothesis. The model, SOM-KTGF-MP, is derived here as an extension of SOM-KTGF for mono-sized particles to be applied to multi-type particles with different sizes, densities, and other properties. In SOM-KTGF-MP, the conservation equations of the volume fraction, mean velocity, and second-order moment of the fluctuating velocity of particles are solved for each type of particle species in the multi-type mixture. A binary mixture of particles in a simple shear flow was predicted using the SOM-KTGF-MP method. The result was in good agreement with the prediction made by the discrete molecular dynamics method, when considering the non-equipartition of particle velocity between particle species and the non-equipartition of energy between the normal components of the second-order moment of the fluctuating velocity of particles. The SOM-KTGF-MP method increased the fidelity of the prediction of the binary mixture flow of particles based on the kinetic theory.
期刊介绍:
Powder Technology is an International Journal on the Science and Technology of Wet and Dry Particulate Systems. Powder Technology publishes papers on all aspects of the formation of particles and their characterisation and on the study of systems containing particulate solids. No limitation is imposed on the size of the particles, which may range from nanometre scale, as in pigments or aerosols, to that of mined or quarried materials. The following list of topics is not intended to be comprehensive, but rather to indicate typical subjects which fall within the scope of the journal's interests:
Formation and synthesis of particles by precipitation and other methods.
Modification of particles by agglomeration, coating, comminution and attrition.
Characterisation of the size, shape, surface area, pore structure and strength of particles and agglomerates (including the origins and effects of inter particle forces).
Packing, failure, flow and permeability of assemblies of particles.
Particle-particle interactions and suspension rheology.
Handling and processing operations such as slurry flow, fluidization, pneumatic conveying.
Interactions between particles and their environment, including delivery of particulate products to the body.
Applications of particle technology in production of pharmaceuticals, chemicals, foods, pigments, structural, and functional materials and in environmental and energy related matters.
For materials-oriented contributions we are looking for articles revealing the effect of particle/powder characteristics (size, morphology and composition, in that order) on material performance or functionality and, ideally, comparison to any industrial standard.