Mathematical Modeling of Two Layered Non-Newtonian Blood Flow Through Artery in Presence of Stenosis

Abstract

  The aim of the present study is to examine a mathematical model of two phased blood flow in human pulmonary artery in the presence of stenosis, keeping in view the nature of pulmonary blood circulation during Lung Cancer. Some of the previous researchers have  already considered  the blood flow to be of two phase. We have applied power law model (based on non-Newtonian flow) in biofluid mechanical set up. For the purpose, blood has been assumed to be constituted of plasma and blood cells which is realistic so far. The pressure drop along the length of stenosis has been calculated. In present study overall presentation is in  tensorial form and the solution technique adopted is analytical as well as numerical. The role of Hematocrit is explicit in determination of blood pressure drop.