MHD Oscillatory Flow of Jeffrey Fluid in an Indented Artery with Heat Source
K. W. Bunonyo *
Department of Mathematics and Statistics, Federal University Otuoke, Yenagoa, Nigeria.
C. Israel-Cookey
Department of Physics, Rivers State University, Port Harcourt, Nigeria.
E. Amos
Department of Mathematics, Rivers State University, Port Harcourt, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this article we studied blood flow through an indented artery and assumed blood to be Jeffrey fluid. The study investigates the influence of heat transfer on the flow profile of Jeffrey fluid in an indented artery. Also, the formulated governing equations are transformed into coupled Bessel differential equation and solved analytically. The effects of various physical parameters such as Prandtl number of blood, Pr = 21 Grashof number Gr Darcy number Da Hartmann number M, Reynold number, Re as well as the Jeffrey parameter, 
1 and a constant parameter, on the velocity profile and temperature profile. The results are discussed in detail with the graphs obtained using Mathematica version 10.3.
Keywords: Oscillation, MHD, heat transfer, Darcy number, Jeffrey fluid, artery