A mechanism for rivulet formation in heated falling films
A mechanism for rivulet formation in heated falling films
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DOI：
10.1017/s0022112096007720
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发表时间：
1996-08
影响因子：
3.7
通讯作者：
S. Joo;S. H. Davis;S. Bankoff
中科院分区：
文献类型：
--
作者：
S. Joo;S. H. Davis;S. Bankoff
我们考虑一个长波演化方程，管辖排水膜加热板，因此能够描述表面波和热毛细不稳定性。当流动和传热速率是温和的，我们表明，通过弱非线性分析的截断系统和数值模拟的完整的非线性演化方程，耦合的时间不稳定性可以创建表面变形，导致阵列的溪流对齐的流量。因此，这项工作证明了一种机制，溪流形成的基础上完全不稳定的现象。
We consider a long-wave evolution equation that governs a draining film on a heated plate and hence is capable of describing both surface-wave and thermocapillary instabilities. When the flow and heat transfer rates are moderate, we show, via weakly nonlinear analysis of a truncated system and numerical simulation of the full nonlinear evolution equation, that coupled temporal instabilities can create surface deformations that lead to an array of rivulets aligned with the flow. This work thus demonstrates a mechanism of rivulet formation based solely on instability phenomena.