Thermosolutal Convection in Dual‐Porosity Media With Generalized Boundary Conditions and Magnetic Field Effect

ABSTRACT This study offers an in‐depth examination of thermosolutal convection stability in dual‐porosity media, emphasizing the influence of chemical hydrodynamics under a magnetic field. The governing equations are formulated based on fundamental principles of fluid mechanics and chemical kinetics, encapsulating the interplay between convection and reaction rates. In addition, we formulated generalized boundary conditions that explicitly incorporate the influence of the gradients in both solute concentration and temperature on the boundary layers, thereby enhancing the theoretical model's realism and extending their applicability. In this context, two algorithms have been developed for studying linear instability and nonlinear stability, utilizing Chebyshev collocation methods to ascertain stability boundaries and delineate the system's linear and nonlinear behaviors. Ultimately, extensive parametric studies reveal that the interplay between thermal and solutal gradients, further modulated by magnetic field‐induced chemical reactions, fundamentally dictates the instability and stability thresholds of the critical thermal Rayleigh number, signifying the onset of convective instability and stability. In fact, this study offers assistance in understanding the complex interactions of these effects in double‐diffusive convection within dispersive porous media, thus enhancing applications in environmental engineering and materials processing.