Temperature Dependent Blood Flow of Tapered Porous Artery Characterized with Mild Stenosis
BLESSING CHIKAODI ELEONU
Department of Statistics, Port Harcourt Polytechnic, Rumuola, Port Harcourt, Rivers State, Nigeria.
LOVE CHERUKEI NNOKA *
Department of Statistics, Port Harcourt Polytechnic, Rumuola, Port Harcourt, Rivers State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Temperature dependent blood flow of tapered porous artery characterized with mild stenosis was investigated analytically in an inclined stenotic artery under the influenced of magnetic field. Blood is an electrically conducting Newtonian fluid. The artery was constricted at the region of stenosis, thereby having maximum flow at the center of the stenosis due to temperature difference resulting from influence if magnetic field. The Physics of the problems was described by the usual MHD equations alongside with the boundary conditions. Analytical expression of the volumetric flow rate, velocity profile, wall shear stress, pressure gradient was derived. We computed the blood flow rate as we varied different parameters and was observed that at the diverging region the velocity profile reduces the flow rate while the blood viscosity increases the inhibition of the stenosis led to increase in magnetic field. It was also observed that the increase of various parameter of Grashof, Reynolds, Nusselt and Prandtl number resulted in clockwise direction of the flow rate. And it was discovered that increase in porosity term (X), blood viscosity, heat absorption parameter, soret term led to increase in other flow characteristics like blood velocity, mass concentration, blood temperature etc.
Keywords: Blood flow, artery, cardiovascular diseases, blood velocity