Analytical Solutions on the Flow of blood with the Effects of Hematocrit, Slip and TPMA in a Porous Tube

Abstract

The purpose of the study is to investigate the role of hematocrit, slip and TPMA (Total Protein Minus Albumin) on the flow of blood in an axisymmetric inclined porous tube. The Walburn-Schneck equation is used to model the flow of blood and the resulting governing equations are solved by considering the long wavelength and small Reynolds number approximation. The closed form solutions are obtained for velocity, flow rate and temperature. The study reveals that an increase in the hematocrit and TPMA has a larger impact on both velocity and temperature. Furthermore, the impact of porous parameter and slip parameter play a vital role in controlling the blood flow.