Showing papers on "Boussinesq approximation (buoyancy) published in 1993"
TL;DR: In this article, the problem of transient natural convection in a cube-shaped cavity is investigated ex- perimentally and numerically, where the motion is driven by a sudden temperature difference between two opposite side walls of the vessel.
56 citations
01 Jan 1993
TL;DR: In this article, the authors considered the lower order of the velocity field spatial derivatives in the Boussinesq equation of motion, which leads to the change of boundary conditions: at the impermeable boundary one can impose only the condition of impermeability (and not the no-slip condition).
Abstract: Thermal convection in porous media is considered in most of the works on the base of Darcy law and Boussinesq approximation. The main distinction of the Darcy-Boussinesq equations from that of the uniform fluid convection is the lower order of the velocity field spatial derivatives. This leads to the change of the boundary conditions: at the impermeable boundary one can impose only the condition of impermeability (and not the no-slip condition). The second distinction is of less importance: the inertial terms are absent in the equation of motion. This should prevent the appearance of the oscillatory states. The similar situation takes place in the uniform fluid when the value of the Prandtl number is high enough.
3 citations
TL;DR: In this article, the vertical distribution of mean density and current velocity nonoscillating on the wave's time scale has been derived in the approximation, quadratic by wave's steepness, and the horizontal volume transport of both the induced current and the Stokesian drift, integrated over depth, equates zero in the Boussinesq approximation.
Abstract: Corrections to the vertical distribution of mean density and current velocity non-oscillating on the wave's time scale have been derived in the approximation, quadratic by the wave's steepness. It has been shown that the horizontal volume transport of both the induced current and the Stokesian drift, integrated over depth, equates zero in the Boussinesq approximation.