Convection in a porous medium with inclined temperature gradient. (English) Zbl 0728.76105

Nield, D. A.

Int. J. Heat Mass Transfer 34, No. 1, 87-92 (1991).

Summary: The stability of convection in a horizontal porous layer, subjected to an inclined temperature gradient of finite magnitude, and confined between perfectly conducting planes, is investigated by means of linear stability analysis. It is shown that the instability appears in the form of stationary longitudinal rolls (with axes aligned in the direction of the horizontal component of temperature gradient) superimposed on the basic flow. As the horizontal Rayleigh number increases, the critical vertical Rayleigh number also increases and there is a series of transitions to higher order modes, corresponding to multiple layers of rolls.

MSC:

76S05	Flows in porous media; filtration; seepage
80A20	Heat and mass transfer, heat flow (MSC2010)
76E15	Absolute and convective instability and stability in hydrodynamic stability

Keywords:

stability of convection; horizontal porous layer; inclined temperature gradient of finite magnitude; perfectly conducting planes; linear stability analysis