Instability analysis of double diffusive convection under time dependent solute boundary conditions in the presence of internal heat generator

Abstract

The present study provides heat and mass transport of double-diffusive convective flow of Newtonian fluid with the presence of internal heat source. Here, we have considered two infinite horizontal plates apart from a constant distance under the solutal modulated boundary condition. To obtain the weakly nonlinear instability analysis, we drive Ginzburg–Landau equation. The effects of physical parameters obtained during the study on the Nusselt number and Sherwood number have been examined graphically. The Prandtl number and Richardson number enhance the rate of heat and mass transport, and Lewis number suppressed it. The major finding of the current study is that the internal heat source has a negligible effect on mass transfer, but a significant effect on the heat transfer.