Abstract
The effect of slippage on the linear hydrodynamic flow stability of a shallow fluid layer induced by an inclined temperature gradient was studied for fluids with Prandtl number of 0.1, 0.7, 10 and 500, related with applications. The basic flow is induced by the horizontal component of the inclined temperature gradient. The slippage in the horizontal walls provide changes in the instability modes giving a completely different map of the stability diagrams. The results suggest that slippage has an destabilizer effect in comparison with the case of no slip boundary condition, which can be seen in the reduction of stable areas for most of the assessed cases. However, for moderate and high Prandtl numbers, the slippage promotes the appearance of the oscillatory transverse mode To, giving as a result, additional codimension-two points.
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