Numerical Simulation of Magnetohydrodynamic Influences on Casson Model for Blood Flow through an Overlapping Stenosed Artery

Abstract

Magnetohydrodynamic (MHD) effects of unsteady blood flow on Casson fluid through an artery with overlapping stenosis were investigated. The nonlinear governing equations accompanied by the appropriate boundary conditions were discretized and solved based on a finite difference technique, using the pressure correction method with MAC algorithm. Moreover, blood flow characteristics, such as the velocity profile, pressure drop, wall shear stress, and patterns of streamlines, are presented graphically and inspected thoroughly for understanding the blood flow phenomena in the stenosed artery.

Herschel-Bulkley Model of Blood Flow through an Asymmetric Stenosed Artery on Unsteady Reactive Solute Dispersion

“…In the outer flow field in the range of r p ≤ r ≤ R (z), the steady dispersion function can be obtained numerically by solving equation ( 40) subject to the boundary condition (26). The expression S 1 is obtained using equation (27). Equation ( 34) is solved using the variable separation method and Bessel function, subject to the boundary conditions (35) and (37).…”

“…The authors highlighted that about 70 to 80% of cardiovascular diseases occur in complex geometries. Given this, the majority of recently published studies concentrated on issues related to blood flow in arteries with complex geometries in the absence of chemically reactive solute [26][27][28]. It is of utmost importance to concurrently study the solute dispersion in the presence of chemically active solute at the bulk of the flow having stenosis in the arterial wall in order to analyse the rheological behaviour of blood flow in a diseased state.…”

A Review paper of overlapping stenosis in artery

“…Bakheet, A., Alnussairy, E. A. [6] , studied the magnetic-mechanical effects of unstable blood flow on Casson's fluid through an artery mean of overlapping stenosis. The mathematical model of the problem was solved by using the pressure correction method with Mac's algorithm to understand the phenomenon of blood flow in the diseased artery.…”