Dynamics of a reactive falling film at large Péclet numbers. I. Long-wave approximation
Dynamics of a reactive falling film at large Péclet numbers. I. Long-wave approximation
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大佩克莱特数下的反应性降膜动力学 I. 长波近似。
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发表时间：
2004
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通讯作者：
S. Kalliadasis
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作者：
Philip M. J. Trevelyan;S. Kalliadasis
我们研究了一个垂直下降的膜在一阶（放热或吸热）化学反应的存在下的动力学。我们将Trevelyan等人[Phys. Fluids 14，2402（2002）]关于同一问题的工作扩展到大的热/质输运Peclet数，因此我们考虑了热/质输运方程的对流项。我们的分析是基于长波扩展的运动方程和相关的边界条件。回顾了Trevelyan等人以前的结果，并与目前的结果进行了比较。特别强调的是永久形式的孤立波。我们表明，热/质传输对流效应的引入会对界面的演变产生巨大影响，事实上会使孤立波色散。色散的大小取决于Prandtl数和施密特数的大小，而色散的符号可以从正变到负，导致负峰孤立波。我们表明，对于大分散和一个...
We study the dynamics of a vertically falling film in the presence of a first-order (exothermic or endothermic) chemical reaction. We extend the work by Trevelyan et al. [Phys. Fluids 14, 2402 (2002)] on the same problem to large heat/mass transport Peclet numbers and so we take into account the convective terms of the heat/mass transport equations. Our analysis is based on a long-wave expansion of the equations of motion and associated boundary conditions. Previous results by Trevelyan et al. are reviewed and compared with present results. Particular emphasis is given on permanent-form traveling solitary waves. We show that the inclusion of the heat/mass transport convective effects can have a dramatic effect on the evolution of the interface and in fact can make the solitary waves dispersive. The size of dispersion depends on the size of the Prandtl and Schmidt numbers while its sign can change from positive to negative leading to negative-hump solitary waves. We show that for large dispersion and for a...