Rayleigh-Bénard convection is the buoyancy-driven flow of a fluid heated from below and cooled from above. This model of thermal convection is a paradigm for pattern formation and turbulence [1] and it plays an important role in a large range of phenomena in geophysics, astrophysics, meteorology, oceanography and engineering. The problem under investigation is: given an incompressible fluid enc...

In the present study, natural convective heat transfer in a partitioned square cavity utilizing nanofluids is studied. The vertical left and right walls are considered as the hot and cold walls, respectively and the partitions assumed to be adiabatic. The nanofluid used in this study is Al2O3 with the volume fraction of 20%. It is assumed that nanofluid is a single phase f...

The variational multiscale (VMS) formulation is used to develop residual-based VMS large eddy simulation (LES) models for Rayleigh-Bénard convection. resulting model a mixed that incorporates the and an viscosity model. Wall-Adapting Local Eddy-viscosity (WALE) as in this work. new LES were implemented finite element code Drekar. Simulations are performed using continuous, piecewise linear elem...

Our present work focuses on the coupling between thermal diffusion and convection in order to improve the thermal gravitational separation of mixture components. The separation phenomenon was studied in a porous medium contained in vertical columns. We performed analytical and numerical simulations to corroborate the experimental measurements of the thermal diffusion coefficients of ternary mix...

Three{dimensional simulations of turbulent and fully compressible thermal convection in deep atmospheres are presented and analyzed in terms of velocity power spectra, mixing{length theory, and production of vorticity. Density contrasts across these convective layers are typically around 11. The uid model is that of an ideal gas with a constant thermal conductivity. The Piecewise-Parabolic Meth...

Thermally driven flows are ubiquitous in nature. An important and longstanding question is how heat transfer depends on the control parameters of flow. In this Letter, author presents a theoretical analysis that answers such for large aspect-ratio turbulent thermal convection fluid between two vertical walls maintained at different temperatures. This yields dependence flux wall shear stress Ray...

The onset of dynamo action is investigated within the context of a newly developed low Rossby, low magnetic Prandtl number, convection-driven dynamo model. This multiscale model represents an asymptotically exact form of an α^{2} mean field dynamo model in which the small-scale convection is represented explicitly by finite amplitude, single mode solutions. Both steady and oscillatory convectio...

Laminar natural convection from an array of horizontal isothermal cylinders confined between two vertical walls, at low Rayleigh numbers, is investigated by theoretical and numerical methods. The height of the walls is kept constant, however, number of the cylinders and their spacing, the distance between the walls and Rayleigh number have been varied. The optimal spacing (confining walls) and ...

Thermal convection of fluid is a more efficient way than diffusion to carry heat from hot sources cold places. Here, we experimentally study the Rayleigh–Bénard aqueous glycerol solution in cubic cell with suspensions rod-like particles made polydimethylsiloxane. The are inertial due their large thermal expansion coefficient and finite sizes. three times larger that background fluid. This contr...