Recent developments in Rayleigh Bnard Convection

In this paper we review main results of Raleigh Bénard convection. Keywords—Convection, Turbulence Thermal convection is present everywhere. We find it in heating sauce pans, boilers, furnaces, and in the atmospheres of planets and stars. Convection is one of the most studied problem in sciences and engineering due to its enormous practical importance. Yet there are many unresolved issues in this area of research. Convection involves typically complex geometry, difficult boundary conditions, and large inhomogeneities, which are not easily amenable to theoretical and numerical investigations. Due to this reasons researchers have worked on an abstract but simplified model called Rayleigh-Bénard convection. Unfortunately even this model is not fully understood. In this paper we describe some of the main results of Rayleigh Bénard convection. In Rayleigh Bénard model of convection, a thin layer of fluid (thickness d) is confined between two conducting horizontal plates, and subjected to adverse temperature gradient β. The governing nondimensionalized equations are