The Effect of Barodiffusion on the Distribution of Biological Fluid Velocity and Concentration During Filtration Through a Cylindrical Layer

A model of filtration of a biological fluid for a cylindrical layer in a stationary regime is presented. The model takes into consideration finite compressibility and concentration expansion associated with barodiffusion. Dimensionless complexes relating characteristic physical scales of different phenomena are singled out. The influence of the revealed effects on the flow characteristics are studied numerically. The flow can be either convective or diffusive, depending on the relation between the dimensionless complexes. New qualitative relationships are distinguished in the component concentration and flow velocity distributions. A significant influence of the thickness of the porous cylinder wall is shown. It is found out that barodiffusion has a significant effect on the flow in the convective mode and a small cylinder wall thickness.