薄膜沿加热平板下落的稳定性分布

Instability of a Falling Thin Film along Inclined Heated Plate

本文分析了薄膜沿加热平板下落的稳定性。在时间模式下,发现流动的不稳定性是由表面波不稳定和热毛细不稳定构成的,同时当流体的热扩散越大以及界面热量损失越小时,热毛细不稳定越剧烈。在时空模式下,流动随着Marangoni数的增大,流动有可能从对流不稳定过渡到绝对不稳定,这一结论尚待实验验证。

The instability of a falling thin film down an inclined heated plate was aualyzed. It was found there are two unstable modes of disturbances for thin film instabilities, i.e. surface wave instability and thermo-capillary instability. For the temporal mode, the larger heat diffusion of the flow and the less loss of the surface heat lead to more severe thermo-capillary instability. For the spatio-temporal mode, with Marangoni number increasing, the flow instability changes from the convective instability to absolute instability. This result needs to be verified by experiments.