An analytical investigation is conducted to study the unsteady free convection heat and mass transfer flow through a non-homogeneous porous medium with variable permeability bounded by an infinite porous vertical plate in slip flow regime while taking into account the thermal radiation, chemical reaction, the Soret number, and temperature gradient dependent heat source. The flow is considered u...

In the present paper, an analysis is carried out to study the free convection, thermal radiation and mass transfer effects on an unsteady flow of a viscous incompressible micropolar fluid over a vertical moving porous plate immersed in a porous medium with time varying suction velocity. The plate moves with the constant velocity in the longitudinal direction, and the free stream velocity follow...

Rapidly rotating Rayleigh-Bénard convection is studied by combining results from direct numerical simulations (DNS), laboratory experiments, and asymptotic modeling. The asymptotic theory is shown to provide a good description of the bulk dynamics at low, but finite Rossby number. However, large deviations from the asymptotically predicted heat transfer scaling are found, with laboratory experi...

Convection refers to fluid motion that is induced by buoyancy. In thermal convection buoyancy is due to temperature differences and one of the interesting questions is how much of the total heat transfer is due to convection. The natural measure of this quantity is the Nusselt number, N , and many experiments and numerical simulations have been performed to discern the relationship between N an...

The three components of the heat-flux vector F = ρCp〈uT 〉 are numerically computed for a stratified rotating turbulent convection using the NIRVANA code in a flat box. The latitudinal component Fθ proves to be negative (positive) in the northern (southern) hemisphere so that the heat always flows towards the poles. As a surprise, the radial heat-flux Fr peaks at the equator rather than at the p...

The problem of laminar, natural convection flow over a vertical f rus tum of a cone is treated in this paper. The thermal boundary condition at the wall include both the constant wall temperature and the constant wall heat flux cases. The governing differential equations are solved by a combinat ion of quasilinearization and finitedifference methods. Numerical solutions are obtained for a range...

Abstract A model of the thermal and hydrodynamic structure subduction zone is proposed. This includes free convection flows in asthenospheric layer C (mantle transition zone). Temperature profiles subducting lithospheric plate, as well continental limb zone, are presented. The heat flux due to friction at contact between plate significantly affects transfer and, consequently, temperature field ...