论文标题

粘弹性液膜中的热氧Marangoni不稳定性:自由表面加热的效果

Thermosolutal Marangoni instability in a viscoelastic liquid film: Effect of heating from the free surface

论文作者

Sarma, Rajkumar, Mondal, Pranab Kumar

论文摘要

我们研究了从自由表面加热的薄聚合物液膜中的Marangoni不稳定。聚合物溶液通常是牛顿溶剂与聚合物溶质的二元混合物,并且表现出粘弹性。在存在温度梯度的情况下,这些聚合物溶质的分层可以通过SORET效应进行,这可能会导致自由表面的溶质毛细血管效应。考虑到杂物效应并结合了重力的效果,我们在这里分析了该聚合物薄膜的稳定性特征,该膜在其可变形的自由表面和导电性较差的刚性底物之间从下面进行。围绕静态基态的线性稳定性分析表明,除了单调障碍之外,在热力毛细血管的综合影响下,系统中还会出现两个不同的振荡不稳定性。讨论了每个不稳定模式的特征,并从相图中感知了完整的稳定性图片,并确定了模型参数空间,其中特定的不稳定性模式可以占主导地位。

We study the Marangoni instability in a thin polymeric liquid film heated from the free surface. Polymeric solutions are usually the binary mixture of a Newtonian solvent with polymeric solute and exhibit viscoelastic behaviour. In the presence of a temperature gradient, stratification of these polymeric solutes can take place via the Soret effect, which may give rise to the solutocapillary effect at the free surface. Considering the Soret effect and incorporating the effects of gravity, here we analyse the stability characteristics of this polymeric thin film bounded between its deformable free surface and a poorly conductive rigid substrate from below. A linear stability analysis around the quiescent base state reveals that under the combined influences of thermo-solutocapillarity, apart from the monotonic disturbance, two different oscillatory instabilities can emerge in the system. The characteristics of each instability mode are discussed, and a complete stability picture is perceived in terms of the phase diagrams, identifying the model parameter space wherein a particular instability mode can get dominant.

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