In this paper, natural convection heat transfer of CuO-water Nanofluid within a wavy-walled cavity and subjected to a uniform magnetic field is examined by adopting the lattice Boltzmann model. The left wavy wall is heated sinusoidal, while the right flat wall is maintained at the constant temperature of Tc. The top and the bottom horizontal walls are smooth and insulated against heat and mass....

This paper is focused on the application of hybrid Single relaxation time lattice Boltzmann and finite volume methods in conjunction with discrete ordinates method to simulate coupled natural convection and volumetric radiation in differentially heated enclosure, filled with an absorbing, emitting and non-scattering gray medium. In this work, the velocity and temperature fields are calculated u...

This paper deals with the Rayleigh-Taylor Instability (RTI) at the interface between heavy poorly conducting fluid supported by a lighter poorly conducting fluid in the presence of transverse electric field, thermal radiation and roughness with slip boundary condition at bottom rough wall and no-shear condition at the top interface. Analytical solutions are obtained for modified Navier-Stokes a...

In this paper, the effect of magnetic field on double-diffusive convection in couple-stress fluid saturating a porous medium is considered. By applying linear stability theory and normal mode analysis method, a necessary condition is derived which states that the viscoelastic double-diffusive convection at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R...

The present study focuses on acoustically induced thermal effects Rayleigh streaming inside a resonator. Firstly, we consider the effect of transverse (or wall-normal) mean temperature gradient acoustic flow generated by standing wave between two parallel plates. Analytical expressions for quantities are developed and used to express sources linear streaming. influence variation velocity is cle...

A paradoxical symmetry breaking--development of a unidirectional flow via thermal instability--is predicted by an analytical solution for compressible convection near a point source of both heat and gravity. Such a flow can propel a cosmic hot body (e.g., a protostar) in a molecular cloud. This convection emerges at the critical Rayleigh number Ra = l(l+1) [2l(l+1)+1+3 mu(V)/2]gamma/(gamma-1), ...

The linear stability of finite-cell pure-fluid Rayleigh-Be'nard convection subject to any homogeneous viscous and/or thermal boundary conditions is investigated via a variational formalism and a perturbative approach. Some general properties of the critical Rayleigh number with respect to change of boundary conditions or system size are derived. It is shown that the chemical reaction4iffusion m...