Mathematical Modeling of Biological Fluid Flow Through a Cylindrical Layer with Due Account for Barodiffusion  

作　　者：N.N.Nazarenko A.G.Knyazeva 

机构地区：[1]Institute of Strength Physics and Materials Science,Siberian Branch of the Russian Academy of Sciences,Tomsk,634021,Russia

出　　处：《Communications on Applied Mathematics and Computation》2023年第4期1365-1384,共20页应用数学与计算数学学报（英文）

基　　金：the Government Research Assignment for ISPMS SB RAS,project FWRW-2021-0007.Author information。

摘　　要：The work proposes a model of biological fluid flow in a steady mode through a cylindrical layer taking into account convection and diffusion.The model considers finite compressibility and concentration expansion connected with both barodiffusion and additional mechanism of pressure change in the pore volume due to the concentration gradient.Thus,the model is entirely coupled.The paper highlights the complexes composed of scales of physical quantities of different natures.The iteration algorithm for the numerical solution of the problem was developed for the coupled problem.The work involves numerical studies of the considered effects on the characteristics of the flow that can be convective or diffusive,depending on the relation between the dimensionless complexes.It is demonstrated that the distribution of velocity and concentration for different cylinder wall thicknesses is different.It is established that the barodiffusion has a considerable impact on the process in the convective mode or in the case of reduced cylinder wall thickness.

关 键 词：FILTRATION Diffusion Convective and diffusive flow regimes Barodiffusion 

分 类 号：O35[理学—流体力学]