Impact of Inclined Magnetic Force on Bio-Fluid in Permeable Bifurcated Arteries: Analytical Approach

Abstract

The present article aims at presenting analytical solutions of the effects of chemical reaction and inclined magnetic force on blood flow through bifurcated arteries placed in a porous medium in association with heat source. The equations of the blood flow model are solved analytically by means of infinite series solution of convergent scheme with appropriate initial and boundary conditions. The important characteristics of the electromagnetohydrodynamic flow of bio-fluid through bifurcated arteries are distinctly highlighted by virtue of the dual solutions that are obtained for Axial velocity, Normal velocity, fluid Temperature, molar species, Skin-friction, Nusselt Number and Sherwood Number. The behaviour of the biofluid variables with individual parameters like Prandtl Number (Pr), Magnetic drag force (Md), Porosity (Kp), Heat source (Hs), Schmidt Number (Sc), Thermal Radiation (R), Chemical reaction rate (Cr), decay (ξ) are discussed in detail through graphs using MATLAB Software. Validation of this work is presented and found suitable. It is disclosed that the flow of bio-fluid is noticeably influenced by the adequate strength of externally applied inclined magnetic force and porosity. This study is essentially important in simple flow, peristaltic flow, pulsatile flow and drug delivery.