A Mathematical Approach to Study the Blood Flow Through Stenosed Artery with Suspension of Nanoparticles

摘要

The present paper deals with the effects of an overlapping stenosis of a micropolar fluid with nanoparticles in a uniform tube. The governing equations have been linearized. The expressions for impedance and shear stress at wall have been deduced. Effects of various parameters like coupling number, micropolar parameter, Brownian motion parameter, thermophoresis parameter, local temperature Grashof number, and local nanoparticle Grashof number on resistance to the flow and wall shear stress of the fluid are studied. Effect of these parameters on arterial blood flow characteristics are shown graphically and discussed briefly under the influence nanoparticles and streamline patterns have been studied with particular emphasis. It is noticed that impedance enhances with the increase of micropolar parameter, thermophoresis parameter, local temperature Grashof number and local nanoparticle Grashof number but reduces with the increase of coupling number and Brownian motion parameter. Shear stress at wall increases with coupling number and Brownian motion parameter but decreases with micropolar parameter, thermophoresis parameter, local temperature Grashof number and local nanoparticle Grashof number.