The effect of Coriolis force on nonlinear convection in a porous medium

Nonlinear convection in a porous medium and rotating about vertical axis is studied in this paper. An upper bound to the heat flux is calculated by the method initiated first by Howard [6] for the case of infinite Prandtl number. For T a ≪ 0(1), the rotational effect is not significant. For , the Nusselt number decreases with increasing T a for a given Rayleigh number R . The flow has always a finite number of modes, but with increasing T a in this region, the number of modes decreases. The functional dependence of the Nusselt number on R and T a is found to have discontinuities as the number of modes N * reduces to N * − 1. For , the Nusselt number is proportional to . The stabilizing effect of rotation is so strong that the optimal solution has left with only one horizontal mode. For T a = 0( R ), the Nusselt number becomes 0(1) and the convection is inhibited entirely by rotation for .

Abstract licence: CC BY

8 more references, whose wording the paper’s licence keeps private.

A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.