Coriolis Effect on Thermosolutal Convection in Navier—Stokes—Voigt Fluid Saturating a Porous Medium

This work examines the influence of the Coriolis effect on thermosolutal convection in a Navier–Stokes–Voigt fluid saturating a porous medium. The flow within the porous medium is modeled using the Darcy–Brinkman framework. Stability analysis is conducted for three combinations of rigid and free boundary conditions. Nonlinear analysis is performed using the energy method, while linear analysis employs normal mode analysis to derive eigenvalue problems. The energy method highlights the critical stabilizing role of the Kelvin–Voigt parameter. Eigenvalue problems are solved using the Galerkin method to determine the Darcy–Rayleigh numbers. This study evaluates oscillatory and stationary convection modes, illustrating how system dynamics are influenced by rotation, viscoelasticity, medium permeability, and solute concentration. Thresholds for the onset of convection modes are presented graphically, providing insights into the stabilizing mechanisms governing thermosolutal convection in such systems.