Computational Analysis of Unsteady Flow of Blood and Heat Transfer through a Stenosesd Artery in a Third Grade Fluid Model with Slip Conditions
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.8, No. 6)Publication Date: 2019-11-30
Authors : Jimoh A Okedayo G.T; Ikpakyegh L.N;
Page : 11-36
Keywords : Unsteady Blood Flow; Unsteady Heat Transfer; Magnetic Field; Slip Conditions; Stenosed Artery; Shear Thinning; Shear Thickening Third Grade Fluid And Galerkin’s Weighted Residual Methods;
Abstract
This paper investigates the computational analysis of unsteady flow of blood and heat transfer through a stenosed artery in a third grade fluid model with slip conditions. Incorporated into the model is an externally applied magnetic field. The solutions of the unsteady non-linear dimensionless momentum and energy equations are obtained using Galerkin's weighted residual and Fourth order Runge-Kutta methods. Effects of slip velocity, magnetic field, shear thinning, shear thickening and other parameters on the flow and heat transfer characteristics are presented graphically and discussed.
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