A Blood Flow Model of a Bifurcating Artery
W. I. A. Okuyade *
Department of Mathematics/Statistics, University of Port Harcourt, Port Harcourt, Nigeria
T. M. Abbey
Applied Mathematics and Theoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
*Author to whom correspondence should be addressed.
Abstract
A flow model of blood in a normal bifurcating artery is presented. The models of the problem are solved using the regular perturbation series expansion. Solutions of the temperature, concentration, velocity, Nuselt number, Sherwood number and skin friction are realized, and presented quantitatively and graphically using the Maple 18 computational software. It is noticed, among others, that the increase in Grashof number increases the temperature, velocity, Nusselt number, Sherwood number and wall shear stress, whereas the Hartmann number increases the concentration but decreases the temperature, velocity and wall shear stress. These results have some attendant physiologic implications on the well-being of man.
Keywords: Arterial model, blood flow, bifurcation, magnetic field, convective flow