THERMAL-STABILITY OF HORIZONTALLY SUPERPOSED POROUS AND FLUID LAYERS IN A ROTATING SYSTEM

The onset of thermal stabilities of the horizontally superposed system s of fluid and porous layers, in a rotating coordinate, is investigate d. Boussinesq's approximation, local volume average technique and Darc y's law are employed and the slipping interface is assumed. The top an d bottom boundaries of the system are assumed rigid and isothermal. A Sturm-Liouville's problem is derived and solved numerically. The criti cal Rayleigh number R(c) or R(mc) and wavenumber a(c) or a(mc) are obt ained for various values of depth ratio (d) over cap thermal conductiv ity ratio k/k(m), permeability K, proportionality constant in the slip condition ti and Taylor number Ta. The sole effect of relation is sta bilizing. The previous results with Ta = 0, using different methods, a re compared very well.