Power Law Fluid Gravity Fluctuations on Dual Component Convection in a Porous Channel in Presence of Throughflow

Gangadharaiah Y  H; Manjunatha N; Nagarathnamma  H

doi:10.24996/ijs.2025.66.11.35

Authors

Gangadharaiah Y H Department of Mathematics, RV Institute of Technology and Management, Bangalore, India
Manjunatha N Department of Mathematics, SOAS, REVA University, Bangalore, India https://orcid.org/0000-0002-7076-7122
Nagarathnamma H Department of Mathematics, Dr. Ambedekar Institute of Technology, Bangalore, India

DOI:

https://doi.org/10.24996/ijs.2025.66.11.35

Keywords:

Variable gravity field, non-Newtonian fluid, Buoyancy ratio, throughflow, Lewis number

Abstract

This study investigates the instability of power-law fluids in a porous channel, emphasizing dual component convection influenced by gravity variations and vertical throughflow. A single-term Galerkin approximation is employed to derive critical Rayleigh numbers and neutral stability curves. The findings reveal that the power-law index tends to destabilize the system, affecting the neutral stability curves, while buoyancy forces contribute to enhancing stability. The role of gravity variations is highlighted as a critical factor, with exponential-type fluctuations proving more effective at achieving stability compared to linear-type fluctuations. Overall, the study emphasizes that key parameters, including the power-law index, buoyancy force, and gravity variations, have a substantial impact on the system's stability characteristics.