Effects of viscosity variation on the stability of a liquid film flow down heated or cooled inclined surfaces: Finite wavelength analysis

Effects of viscosity variation on the stability of a liquid film flow down heated or cooled inclined surfaces: Finite wavelength analysis
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DOI:
10.1063/1.866284
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发表时间:
1987-04
期刊:
影响因子:
4.6
通讯作者:
D. Goussis;R. Kelly
D. Goussis;R. Kelly
中科院分区:
工程技术2区
文献类型:
--
作者:
D. Goussis;R. Kelly

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研究了可变粘度对沿加热或冷却倾斜表面流动的液膜不稳定性的表面波模式的影响。使用粘度随温度变化的两个模型呈现稳定性边界。两种模型产生的结果在质量上相似。结果表明,加热会使流动不稳定,而冷却会使流动稳定。对于加热的情况,临界波数 αc 始终为零,而对于冷却的情况,αc 可以不为零。通过控制无量纲参数的变化,当在有限波长处首先出现不稳定性时,给出了相当完整的图景。
The effects of variable viscosity on the surface wave mode of instability of a liquid film flowing down heated or cooled inclined surfaces are examined. Stability boundaries are presented using two models of viscosity variation with temperature. Both models yield qualitatively similar results. It is shown that heating destabilizes the flow, while cooling stabilizes it. For the case of heating the critical wavenumber αc is always zero, while for the case of cooling αc can be nonzero. By variation of the governing nondimensional parameters, a reasonably complete picture is given when instability occurs first at finite wavelengths.