Radiation Effect on MHD Blood Flow Through a Tapered Porous Stenosed Artery with Thermal and Mass Diffusion

Abstract

A mathematical model for MHD blood fl ow through a stenosed artery with Soret and Dufour effects in thepresence of thermal radiation has been studied. A uniform magne tic field is applied perpendicular to the poroussurface. The governing non-linear part ial differential equations have been transformed into linear partialdifferential equations, which are solved numerically by applying the explicit finite difference method. Thenumerical results are presented graphically in the form of velocity, temperature and concentration profiles. Theeffects of various parameters such as the Reynolds number, Hartmann num ber, radiation parameter, Schmidtnumber and Prandtl number, Soret and Dufour parameter on the velocity, temperature and concentration havebeen examined with the help of graphs. The present results have an important bearing on the therapeuticprocedure of hyperthermia, particularly in understanding/regulating blood flow and heat transfer in capillaries.