Numerical study of blood flow and heat transfer through stretching cylinder in the presence of a magnetic dipole

In the present paper we study numerically the Biomagnetic Fluid Flow (BFD) (blood) and heat transfer through a stretching cylinder. The physical problem is formulated by a BFD model which incorporates both principles of FerroHydroDynamics (FHD) and MagnetoHydroDynamics (MHD). Thus, blood is considered to be an electrically conducting fluid which simultaneously exhibits polarization. The governing equations are non-dimensionalized using suitable similarity transformations and the resulting coupled non linear system of ordinary differential equations are solved using an efficient numerical technique which is based on a common finite differences method with central differencing, a tridiagonal matrix manipulation and an iterative procedure. Comparisons of our results with existed studies are made for some limiting case of the present study and found to be in a good agreement. The results are presented graphically for different values of the parameters with emphasis to the examination of FHD and MHD effect on the flow field as well as other physical quantities of interest, like skin friction coefficient and heat transfer on the wall.