Weakly nonlinear thermohaline rotating convection in a sparsely packed porous medium

This paper discusses the analytical study of linear and weakly nonlinear stability of thermohaline convection in a sparsely packed porous due to rotation. In the linear stability analysis, we used the normal mode technique to find the critical Rayleigh number and it is a function of q, T-a, Lambda, R-2 , and L . Marginal stability curves were traced corresponding to thermal Rayleigh number and studied bifurcation points. In the weakly nonlinear analysis, a nonlinear two-dimensional Landau Ginzburg equation was derived at the onset of stationary convection, studied the secondary instabilities and heat transport due to convection. One dimensional coupled Landau Ginzburg equations are derived at the onset of oscillatory convection and analyzed the stability regions of steady-state, standing waves, and travelling waves. (c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper discusses the analytical study of linear and weakly nonlinear stability of thermohaline convection in a sparsely packed porous medium due to rotation. The critical Rayleigh number and the stability regions are obtained through linear stability analysis and weakly nonlinear analysis.