NONLINEAR DOUBLE-DIFFUSIVE CONVECTION IN AN ANISOTROPIC POROUS LAYER UNDER TIME-DEPENDENT ROTATION WITH INTERNAL HEATING AND SORET EFFECT

Abstract

This study investigates the double-diffusive convection onset in a nonuniformly rotating anisotropic porous fluid layer under the influence of Soret and internal heating effects. The linear stability approach is employed to investigate the system when subjected to infinitesimal perturbations. The nonlinear case is investigated using a minimum truncated double Fourier series, leading to the derivation of nonlinear Lorenz-type equations. As a novel characteristic of the article, the newly developed local linearization block hybrid method is utilized to solve the nonlinear Lorenz-type equations. We observed that the method achieves convergence and accurate results with a large number of collocation points. Heat and mass transfers have been expressed in terms of Nusselt number and Sherwood number, respectively. The study also investigates the influence of time-dependent rotation and internal heat generation on heat and mass transfer in anisotropic porous layers, including the Soret effect. Among other findings, we noticed that rotation modulation and mechanical anisotropy enhance the rate of heat and mass transfer, potentially advancing the onset of convection in the system. Further, the dual effect of internal heat generation is observed in the presence of the Soret effect.