Rayleigh-Bénard-Marangoni Instability in a Self-rewetting Fluid Layer Overlying a Porous Medium

Rayleigh-Bénard-Marangoni instability in a bilayer system of self-rewetting fluid overlying porous medium is investigated. The upper surface the layer assumed non-deformable and constant temperature gradient imposed. Unlike previous works, considered this paper, whose tension quadratic function temperature. As result, it would reinforce or suppress caused by buoyancy different scenarios. Thorough study carried out influence depth ratio h, Rayleigh number Ra Biot Bi on discussed. It was found that marginal curve bimodal certain combination parameters mode transition convection also found.