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

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

MMC.
2024;
Volume 11, Number 1
: pp. 19–26
https://doi.org/10.23939/mmc2024.01.019
Received: August 08, 2022
Revised: April 03, 2023
Accepted: April 11, 2023

Gangadharaiah Y. H., Manjunatha N., Mebarek-Oudina F. The variable viscosity and variable gravity field on the onset of convective motion in a porous layer with throughflow. Mathematical Modeling and Computing. Vol. 11, No. 1, pp. 19–26 (2024)

Authors:
  1. Y. H. Gangadharaiah
  2. N. Manjunatha
  3. F. Mebarek-Oudina
1
Department of Mathematics, RV Institute of Technology and Management, Bengaluru, Karnataka, India
2
Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru, Karnataka, India
3
Department of Physics, Faculty of Sciences, University of 20 Aout 1955 – Skikda, Skikda, Algeria

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).

variable viscosity
throughflow
Galerkin technique
variable gravity vector
linear stability
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