Weakly nonlinear instability analysis in triple‐diffusive convection under gravity modulation in the presence of an internal heat generator

Abstract The presented study is prepared on the triple‐diffusive convection (TDC) in the presence of an internal heat source to examine the rate of heat and mass transport. The weakly nonlinear instability analysis was used to show the effect of gravity modulation. Such phenomena have been found in space vehicle technology, wind turbines, geothermals, and many more. In the realm of geometry, our analysis encompasses the study of two parallel infinite horizontal plates with gravity in the downward direction. For TDC, we have considered two solutes. For the result validation, we have compared the critical Rayleigh number with the available research. The numerical outcomes are presented through graphs for different physical parameters. Based on the outcomes, we conclude that the Richardson, Prandtl, and Lewis numbers increase the mass and heat transport. The main finding of the present article is of the internal heat source that advances convection.