Perturbation Solutions for the Study of MHD Blood as a Third Grade Nanofluid Transporting Gold Nanoparticles through a Porous Channel

Abstract

In this paper, the flow, thermal and concentration analyses of blood as a third grade with gold as nanoparticles through a porous channel are carried out using regular perturbation method. The analysis are carried out using Vogel’s model of temperature-dependent viscosity. The developed models were used to investigate the effects of the nano particles on the concentration, temperature and velocity of the fluid as it flows through the porous medium of a hollow channel in the presence of magnetic field. Also, the effects of fluid parameters such as Brownian motion, thermophoresis, viscous dissipation, non-Newtonian, porosity, magnetohydrodynamics (MHD), diffusion constant at various values on the fluid were established. The results generated in this work were found to be in good agreement with the results found in litereture.

Keywords

• Perturbation solutions
• Magnetohydrodynamics
• Blood
• Third grade
• nanofluid