Time-Dependent Double-Diffusive Instability in a Density-Stratified Fluid along a Heated Inclined Wall

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Abstract
We consider a stably stratified fluid contained between two parallel sloping plates. At t = 0, the lower plate is given a step increase in temperature; a time-dependent convective flow is generated. Stability of such a flow with respect to double-diffusive mechanism is analyzed. The method is the same one used by Chen [6] in treating a similar problem with vertical walls. The predicted critical values of Rayleigh number and wavelength compare favorably with those observed experimentally. No overstability is encountered up to 75 deg of inclination of the heating wall to the vertical. For a horizontal layer, however, instability starts in an overstable mode. The frequency of the overstable mode compares favorably with that predicted by Veronis [7] for a free-free layer.

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