Magnetic and chemical reaction effects on double‐diffusive convection with the effect of heat and salt flux boundary conditions

Abstract

The magnetic and chemical reaction effects on the onset of thermosolutal convection in a penetrative internally heated fluid are investigated for the case when the plane layer has a constant temperature and salt concentration on the upper surface and a specified heat flux and salt flux on the bottom surface. The linear instability and nonlinear stability boundaries are analyzed using the Chebyshev collocation method to calculate the corresponding eigenvalue systems according to the boundary conditions. Two distinct internal heat source functions are examined: the first kind is a constant, and the second kind is to heat the bottom half of the surface while cooling the rest. The Rayleigh number is graphically represented with the various parameter effects. The outcomes indicate that utilizing magnetic, chemical reactions, and internal heat sources has a significant influence on defining the thermosolutal convection stabilization and destabilization thresholds. For all types of internal heat sources, it is found that the magnetic field has a stabilizing effect. It is also noted that the effects of chemical reaction, heat flux, and salt flux play important factors in the stability region.