NONLINEARDOUBLE-DIFFUSIVE CONVECTION INAN ANISOTROPIC POROUS LAYER UNDERTIME-DEPENDENT ROTATION WITH INTERNALHEATING AND SORET EFFECT

This study investigates the double-diffusive convection onset in a nonuniformly rotating anisotropic porous fluid layerunder the influence of Soret and internal heating effects. The linear stability approach is employed to investigate thesystem when subjected to infinitesimal perturbations. The nonlinear case is investigated using a minimum truncateddouble Fourier series, leading to the derivation of nonlinear Lorenz-type equations. As a novel characteristic of the arti-cle, 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. Heatand mass transfers have been expressed in terms of Nusselt number and Sherwood number, respectively. The studyalso investigates the influence of time-dependent rotation and internal heat generation on heat and mass transfer inanisotropic porous layers, including the Soret effect. Among other findings, we noticed that rotation modulation andmechanical anisotropy enhance the rate of heat and mass transfer, potentially advancing the onset of convection in thesystem. Further, the dual effect of internal heat generation is observed in the presence of the Soret effect