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.

中文翻译：

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倾斜温度梯度对流动稳定性的滑移效应

摘要 针对Prandtl数为0.1、0.7、10和500的流体，研究了滑移对倾斜温度梯度引起的浅层流体线性流体动力流动稳定性的影响，并与应用相关。基本流动是由倾斜温度梯度的水平分量引起的。水平壁的滑移提供了不稳定模式的变化，给出了完全不同的稳定性图图。结果表明，与无滑移边界条件的情况相比，滑移具有不稳定效应，这可以从大多数评估情况下稳定区域的减少中看出。然而，对于中等和高 Prandtl 数，滑移促进了振荡横模 To 的出现，从而产生了额外的二维点。