TITLE:
Hematocrit and Slip Velocity Influence on Third Grade Blood Flow and Heat Transfer through a Stenosed Artery
AUTHORS:
A. Jimoh, G. T. Okedayo, T. Aboiyar
KEYWORDS:
Stenosis, Hematocrit, Slip Velocity, Magnetic Field, Non-Newtonian Fluid, Third Grade Fluid, Galerkin Weighted Residual Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.3,
March
28,
2019
ABSTRACT: A theoretical investigation concerning hematocrit
and slip velocity influence on the flow of blood and heat transfer by taking
into account the externally applied magnetic field has been carried out. The
mathematical models considered in this work treated blood as a non-Newtonian
fluid obeying the third grade fluid model. A suitable geometry of the stenosis
is taken into account. Galerkin weighted residual and Newton Raphson methods
are used to solve the equations that govern the flow of blood and heat
transfer. Analytical expression for the velocity profile, temperature profile,
volume flow rate, wall shear stress and resistance to flow were obtained.
Graphical representation of results shows that the flow velocity, volumetric
flow rate and shear stress increase while resistance to flow and heat transfer rate
decrease when the slip velocity increases. Also, flow velocity and volume flow
rate decrease while shear stress, heat transfer rate, and resistance to flow increase
when the hematocrit parameter increases. Finally, increases in magnetic field
parameter lead to decrease in flow velocity, flow rate and shear stress but
increase the flow resistance.