Mathematical modeling of Williamson's model for blood flow inside permeable multiple stenosed arteries with electro-osmosis

Abstract

This study focuses on an artery with multiple stenoses, emphasizing the electro-osmotic e ects. The artery's walls are porous, and slip boundary e ects are present. Blood ow problems are better modeled with a slip and porous border. It is examined extensively due to the wide range of applications in the medical eld, especially in diagnosing drug delivery and handling cellular irregularities. In this paper, we have visualized the non-Newtonian behavior of blood by using viscoelastic uids as Williamson's uid model. A mathematical model for an incompressible uid is created, and the mathematical issue is then transformed into its dimensionless form by applying limitations in the case of mild multiple stenoses. The partial di erential equations for the velocity and temperature pro les can be found when the problem is put into a dimensionless form. Analytical solutions of the resulting system are calculated with the help of the Homotopy Perturbation Method (HPM). The visual representation of analytically obtained solutions is investigated for both symmetric and non-symmetric geometries of stenosis. For varied values of ow rate Q and electro-osmotic parameter m, the streamlines are examined in detail.

Two new numerical approaches for the fractional distribution of the model of a system of lakes via modified hat and quasi-hat functions

“…Mathematical modeling of this problem leads to a system of three fractional differential equations. There are several numerical methods for solving such systems of differential equations (see [2,3,4,5]). The model has been examined by many researchers using different approaches [6,7,8].…”