Effect of Inclination Angle and Magnetic Field on Convection Heat Transfer for Nanofluid in a Porous Cavity

Abstract

In this paper, the effect of inclination angle and magnetic field in a two-dimensional porous cavity filled with Cu-water nanofluid has been studied numerically. The equations are framed using the Darcy-Brinkman-Forchheimer model. The control volume technique is used to solve the governing equations and SIMPLE algorithm is employed for the momentum equations. Comparison test was done with previous available literatures and the results are found to be in good agreement. The results are presented for different values of inclination angle (0 o ≤ γ ≤ 180 o ), Hartmann number (0 ≤ Ha ≤ 100), Darcy number (10 −5 ≤ Da ≤ 10 −1 ) and solid volume fraction (0% ≤ ϕ ≤ 5%) while the porosity ε, Rayleigh number Ra and Prandtl number Pr are fixed at 0.6, 10 6 and 6.2, respectively. It is found that the influence of solid volume fraction is strongly affected by the presence of strong magnetic field and the inclination angle 90 o in the porous medium.

Numerical study of magnetohydrodynamic mixed convective flow in a lid-driven enclosure filled with nanofluid saturated porous medium with center heater

“…The governing equations are discretized by using the finite volume method while the coupling between the velocity and pressure fields is done by using the SIMPLE algorithm of Patankar [28]. The diffusion terms in the equations are discretized by central different scheme, while a power law scheme [29][30][31] is applied to approximate the convection terms. The set of discretized algebraic equations are solved by tridiagonal matrix algorithm (TDMA) line by line method.…”