Blood Flow with Heat Transfer through Different Geometries of Stenotic Arteries

Abstract

The current study evaluates blood flow patterns in symmetrical, elliptical, trapezoidal, triangular, cosine-shaped and bell-shaped stenosed arteries with heat transfer. The ordinary differential equations obtained from the transformation applicable to the controlling partial differential equations. The system of ordinary differential equations has been solved using analytical methods of variation of parameters with the help of software. The MATLAB code graphically demonstrates various profiles and analyses the impact of the Prandtl number, magnetic field, Darcy number and Radiation number on velocity, wall shear stress, temperature and volumetric flow rate. The preponderance of blood flow problems is caused by stenosis between z = 1 and z = 2 locations for symmetrical, elliptical, trapezoidal, triangular, cosine-shaped and bell-shaped stenosis. The originality of the present study is the simultaneous influence of varied stenosis geometries on heat transfer. The main observation of blood velocity is that it is also greater for bell-shaped artery walls in the presence of a magnetic field than for trapezoidal artery walls between z = 1 and z = 2 and all other geometries in between. It may help to understand the blood flow in stenosed blood arteries caused by cardiovascular disease.