What is it about?
Evolution of waves and hydrodynamic instabilities of a thin fluid film flowing down an inclined wavy bottom is a classical problem in hydrodynamics.
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Why is it important?
The research is based on mathematical techniques to explore the stability properties of the governing equations pertinent to each of the problems considered. The problem statement and relevant calculations are given in a detailed and rigorous manner, and numerous results are given in analytical and graphical form in a systematic and insightful manner. Particularly, the findings are interpreted physically.
Perspectives
Writing this article was a great pleasure as it has co-authors with whom I have had long standing collaborations. This article also lead traveling wave solution reveals the fact that to get the gamma one family of waves we need to increase the Reynolds number a bit more than the value at which the gamma two family of waves is found. The spatiotemporal evolution of the nonlinear surface equation indicates that different kinds of finite-amplitude permanent waves exist.
Dr Asim Mukhopadhyay
Read the Original
This page is a summary of: Waves and instabilities of viscoelastic fluid film flowing down an inclined wavy bottom, August 2020, American Physical Society (APS),
DOI: 10.1103/physreve.102.023117.
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