Double-diffusive flow in a porous right-angle trapezoidal enclosure with
constant heat flux
Abstract
A computation analysis is performed to study double-diffusive natural
convection in a right-angle trapezoidal cavity packed with a porous
medium. The horizontal top and bottom boundaries are insulated and
impermeable. The vertical left sidewall is kept at a constant heat flux
and high concentration, whereas the temperature and concentration of the
mixture at the inclined sidewall are held at lower temperatures and
lower concentration. The dimensionless nonlinear system is solved by
employing finite difference method along Successive Under Relaxation
technique. The findings are compared and validated with the existing
literature for the Darcy flow driven through a single buoyancy effect
(difference in density is only due to temperature variations) in a
porous square enclosure. The numerical results are expressed in the form
of dimensionless temperature, concentration, streamlines, isotherms and
iso-concentrations, local and average Nusselt and Sherwood numbers. It
is demonstrated that the Rayleigh number and buoyancy parameter enhance
both surface heat and concentration rates.