Model of LDL-C concentration of blood flow through a vertical porous microchannel with multiple stenoses: computational simulation

Abstract

The accumulations of lipid low-density lipoprotein cholesterol (LDL-C) and other chemicals on the artery wall are known as atherosclerosis. Atherosclerosis can constrict the arteries and obstruct the blood flow. Our goal is to debate the model of unsteady pulsatile Cross fluid (blood model) flows through a vertical porous microchannel with multiple stenoses under the influence of thermal radiation and Joule heating. The equations of momentum, energy, and LDL-C concentration have been simplified with the help of mild stenosis approximation. Then they have been solved numerically by using the finite difference method. It is noticed that the blood velocity increases and reaches a steady state in the case of non-pulsating flow, while the blood velocity fluctuates in the case of pulsating flow. Moreover, the value of LDL-C concentration in the case of a chemical reaction is lower than in the absence of a chemical reaction.