Blood flow study in stenotic arteries through porous medium with heat generation

Abstract

Due to its significance in biological medicine, the passage of blood through stenotic arteries is one of the primary fields of study in mathematical fluid dynamics. The purpose of this research is to determine how human circulation influences a stenosed blood vessel. In the current study, micropolar fluid is assumed to represent human blood. Our goal in the present research is to analyze heat generation and chemical reaction in micropolar fluid flowing via a stenosed artery inserted in a porous material. To simulate the temperature and concentration distributions caused by blood flow with artery stenosis computationally with the assistance of MATLAB, the constitutive equations and boundaries are simplified to non-dimensional notation by utilizing similarity transformations. For reducing the complexity of partial differential equations (PDEs), the long wavelength (LWL) and low-Reynolds numeral (LRN) approaches are employed. The Crank-Nicolson approach has been employed for evaluating the boundary conditions and governing equations for fluid flow. An appropriate geometry has been considered in order to figure out the consequence of the stenosis pattern. There includes a visual discussion of the impact of several physical parameters on the axial velocity graph, heat and mass field, including coupling number $\left(N\right)$, chemical reaction $\left(\xi \right)$, micropolar $\left(m\right)$, Schmidt $\left(\mathrm{Sc}\right)$, Prandtl $\left(Pr\right)$ and heat generation parameter $\left(Q\right)$. The present study validates the choice of machine learning approach as a promising solution to model micropolar fluid flow and future work in this area.