Oscillatory Rotating Magnetoconvection With Chemical Reaction and Helical Force

ABSTRACT This study focuses on oscillatory rotating convection in the presence of a chemical reaction, magnetic field, and helical force. Both linear and weakly nonlinear analyses are conducted. The nondimensional governing equations for linear stability analysis are solved using the normal mode approach, resulting in an eigenvalue problem. Weakly nonlinear behavior is analyzed using multiple scale analysis, and an analytical expression for the Rayleigh number is derived using the one‐term Galerkin method. Neutral stability curves for both oscillatory and stationary instabilities are plotted for various physical parameters. They have no appreciable effect on stationary convection in this Prandtl value (). However, the Lewis number , Solutal Rayleigh number , Taylor number , Solutal diffusivity , helical force parameter , Thermal Rayleigh number , and Hartmann number all work together to stabilize and destabilize the flow. On the other hand, it is found that the flow in oscillatory convection is stabilized and destabilized by the Solutal Rayleigh number, Hartmann number, Thermal Rayleigh number, Prandtl number, Taylor number, Lewis number, and helical force parameter. The weakly nonlinear analysis yielded the amplitude equation.