Computational biomedical simulations of Cattaneo Christov heat flux model in diseased arteries with a combination of aneurysm and stenosis

Abstract

In present article, computational biomedical simulations of Cattaneo Christov heat flux model in diseased arteries with a combination of aneurysm and stenosis is implemented in order to investigate its effects on the blood flow across the cylinder, the magnetic field is also applied. Stenosis causes a decrease in cross sectional area of the vascular lumen and is produced by the addition of fats and other hydrocarbons below the vascular endothelium of the arterial wall. For the heat transfer, Fourier law has parabolic nature which represents the temperature field moves fast with initial disturbance and spreads in whole substance. Cattaneo introduced additional parameter of relaxation time in the classical Fourier's law to get around this problem, creating the option of carrying heat by the motion of thermal waves with a slow pace. Using a mild stenotic assumption, we normalized the bi-directional, non-linear momentum and energy equations and reduce them to a unidirectional flow. Using the finite difference method, we discretized the associated partial differential equations. The resulting algebraic problem is solved numerically by using Matlab software. As a result, numerical solutions are obtained and these results are used to test the effects of different emerging parameters on flow pattern that are demonstrated in velocity, temperature, wall shear stress and flow rate profiles. The cross-sectional behavior of the blood flow patterns is also developed using streamlines for general readers.