Combined Effect Of Variable Hydraulic Wall Permeability And Wall Slip Velocity On The Capillary Blood Flow

摘要

A mathematical model has been developed to study the combined effect of variable hydraulic wall permeability and wall slip velocity on capillary blood flow . Blood is regarded as homogeneous Newtonian fluid. The resulting governing equations are the creeping flow equations which are solved using successive approximation method. The hydraulic wall permeability is assumed to be a linear function of axial distance and for slip velocity, the Beavers and Joseph condition has been used. The exchange of fluid across the wall Obeys Starling's hypothesis. From the solution, the expressions for the velocities, pressure and flow rate have been obtained. The results indicate that both variable hydraulic wall permeability and wall slip velocity have significant effect on capillary blood flow.