On effect of non-uniform basic temperature gradient on Bénard–Marangoni convection in micropolar fluid

Linear stability analysis is performed to study the effect of non-uniform basic temperature gradients on the onset of Bénard–Marangoni convection in a micropolar fluid. The influence of various parameters on the onset of convection has been analysed. The possibility of delaying the onset of convection by the application of a cubic basic state temperature profile is demonstrated.