Computer Simulation of Blood Flow with Nanoparticles in a Magnetic Field as a Third Grade Non-Newtonian Through Porous Vessels by Flex PDE Software

Abstract

In this paper, we used Flex-PDE software to study the blood flow with nanoparticles in a magnetic field as a third grade non-Newtonian through porous vessels. Viscosity of Nano fluid is clear via Constant, Vogel’s and Reynolds’ patterns. The performance of Flex-PDE software is briefly raised and employed to derive solution of nonlinear equations. Attempts are performed in order to indicate the validity and performance of the present software in comparison with Collocation Method (CM). Comparison between the Flex-PDE software and analytical conclusions of the issue, illustrates excellent complying in solving this nonlinear differential equation. As well as, in the present perusal, the impact of various physical parameters like: Grashof number, pressure gradient, thermophoresis parameter, Brownian motion parameter and magnetic field intensity on concentration, velocity and temperature profiles are examined. Conclusions displays that velocity profile has direct relationship with thermophoresis parameter Nt but Brownian motion Parameter Nb has reverse relationship with velocity profile V(r). In addition, this study illustrate that Flex-PDE is strong software to solve nonlinear differential equations, such as the issue introduced in this research.