Abstract

The effect of Prandtl number on the stability of the conduction regime of natural convection in an inclined slot has been studied for the case corresponding to heating from below. For Pr > 12.7 the instability occurs as waves travelling in the direction of the base flow if the angle of inclination from the vertical is small. For larger angles cells form which have their axes in the direction of the base flow. For 0.24 < Pr < 12.7 the situation is similar to the above except now instead of travelling waves the instability sets in as horizontal cells for the smaller angles. The angle at which the transition between the two types of cells occurs increases from 1° to 90° as the Prandtl number decreases from 12.7 to 0.24. For Pr < 0.24 only horizontal cells are possible and the stability of the flow is now mainly a function of Pr tan δ, where δ is the angle of inclination.

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