The variable viscosity and variable gravity field on the onset of convective motion in a porous layer with throughflow

Abstract

In the present article, the combined influence of the changeable gravity field and temperature-reliant viscosity on the porous bed is considered for investigation numerically by the Galerkin technique in the presence of upward vertical throughflow. The temperature-reliant viscosity is known to be exponential. The porous matrix is subjected to continuous downward gravity fluctuations varying with distance across the medium and vertical upward throughflow. Four different cases of gravity variance were discussed. A parametric analysis is conducted by adjusting the following parameters: throughflow parameter, viscosity parameter, and gravity parameter. Results show that the beginning of the convective moment would be delayed by all three parameters throughflow, temperature-reliant viscosity, and gravity variance. It has been shown that the fluidic system is more inconsistent in case (iii) and more consistent in case (iv).