Multiple Solutions of Double-Diffusive Convection in Porous Media due to Opposing Heat and Mass Fluxes on Vertical Walls

Abstract

The double-diffusive convection in a porous medium due to the opposing heat and mass fluxes on the vertical walls is solved analytically. In the former analysis, we investigated only when  < , the parameter arising from a combination among the density stratification and the buoyancy effects. However, it is shown in the present research that a solution is also possible when  > . The Sherwood number Sh is shown to decrease monotonically with an increase in the buoyancy ratio N when  > , and Sh approaches 1 when N is 1. We define N min as the minimum value of N when  is imaginary and  = . N min increases with an increase in R c . However, N min approaches a constant as Le increases. Furthermore, although the convection pattern is mainly temperature-driven, concentration-driven convection cells also exist under certain.

Double-diffusive natural convection in a trapezoidal solar pond with discrete heat boundary conditions: Effects on non-convective zones

“…The most important papers found in the literature are described below. Masuda et al (2013) studied analytically a double diffusive convection in the cavity with porous medium. Maatki et al (2014Maatki et al ( , 2016Maatki et al ( , 2017a and 2017b) studied the effects of buoyancy ratio, entropy generation and magnetic field on the double diffusive convection in a cubic cavity.…”

A Fourier Series Solution for Transient Three‐Dimensional Thermohaline Convection in Porous Enclosures

“…For the THC, Kalla et al (2001) developed a 2‐D analytical solution based on the parallel flow approximation. Analytical solutions for 2‐D cases have been obtained in Trevisan and Bejan (1986) and Masuda et al (2013) using the boundary layer approximation. Shao, Fahs, Younes, Makradi, et al (2016) developed a 2‐D semianalytical solution for the full mathematical model (without any approximation), based on the Fourier series (FS) method.…”