Influence of induced magnetic field and gravity fluctuations on the onset of double-diffusive penetrative convection in porous media with throughflow
Y. H. Gangadharaiah, K. R. Rashmi, N. Jeyaprakash, C. Durga Prasad, Amit Tiwari, S.B. Karthik, Saravana Bavan, Adem Abdirkadir Aden
Abstract
The objective of this study is to examine the combined impact of an induced magnetic field, temperature-dependent heat source, and gravity fluctuations on the onset of thermosolutal convection in a porous bed with throughflow. This study introduces a novel approach by categorizing gravity fluctuations into two types: (a) linear, and (b) parabolic, and analysing their influence on convection behaviour. The linear stability analysis is performed using the normal mode technique, and a single-term Galerkin approximation, implemented with the Mathematica tool, is used to derive the critical Rayleigh number and neutral stability curves. The novelty of this study lies in the comprehensive investigation of these factors, particularly the effects of temperature-dependent heat sources and gravity fluctuations on the stability of thermosolutal convection, which have not been fully explored in previous literature. The findings indicate that a temperature-dependent heat source delays the onset of convection, while the Lewis number destabilizes the flow. In the absence of temperature-dependent heat generation, the system exhibits greater stability with increasing throughflow, regardless of its direction. In contrast, parameters like the heat source, Hartmann number, gravity fluctuation type, solute Rayleigh number, and Peclet number contribute to stabilizing the system. The results in the limited scenario coincide with previously published studies. This work provides new insights into the behaviour of heat plumes under magnetic fields and throughflow, with potential applications in enhancing cooling systems in industrial applications, modelling oil reservoirs, and nuclear waste storage.