A mathematical modelling in two phase flow in arterioles during thalassemia

Abstract

A person is suffering from thalassemia will have too few red blood cells and too little haemoglobin, and the red blood cells may be too small. The impact of thalassemia can range from mild to severe and life threatening. We have presented a non-Newtonian two phase blood model. Blood is considered as a homogeneous mixture of blood cells and plasma, and also hold power low. We have formed equation of continuity and the equation of motion into tensorial form. We obtained a relation between haematocrit and pressure drop that predict fluctuation in blood flow. We have also collected pathological data of a thalassemia patient, and done graphical study of fluctuation in blood flow. Adopted solution techniques are analytical as well as numerical.