Mathematical Modeling of an Oscillatory MHD Blood Flow through a Lipid Saturated Porous Channel with Metabolic Heat and Magnetic Field

Abstract

This research investigates an oscillatory blood flow through a lipid saturated porous channel with metabolic heat and magnetic field. The study involves formulating mathematical model for blood momentum equation, the energy equation and the lipid concentration equation, and the coupled PDE were reduced to set of nonlinear ODE using the perturbation method. The set of ODEs are solved and the blood velocity, temperature and lipid concentration profiles were obtained, with some governing parameters. Numerical computation was carried out using Mathematica software to by varying the governing parameters within some specific range in order to the study the effects of the parameters on the flow profiles. The results revealed that the flow profiles were influenced with the varying pertinent parameters such as Prandtl number, radiation parameter, metabolic heat parameter, Hartmann number, Grashof number, solutal Grashof number, Schmidt number and the oscillatory frequency parameters respectively.