Boudlal, Abdelaziz and Liapidevskii, Valery (2012) Modulation Equations for Roll Waves on Vertically Falling Films of a Power-Law Fluid. World Journal of Mechanics, 02 (01). pp. 1-8. ISSN 2160-049X
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Abstract
Waves of finite amplitude on a thin layer of non-Newtonian fluid modelled as a power-law fluid are considered. In the long wave approximation, the system of equations taking into account the viscous and nonlinear effects has the hyper- bolic type. For the two-parameter family of periodic waves in the film flow on a vertical wall the modulation equations for nonlinear wave trains are derived and investigated. The stability criterium for roll waves based on the hyperbolicity of the modulation equations is suggested. It is shown that the evolution of stable roll waves can be described by self-similar solutions of the modulation equations.
Item Type: | Article |
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Subjects: | Open Digi Academic > Engineering |
Depositing User: | Unnamed user with email support@opendigiacademic.com |
Date Deposited: | 22 Feb 2023 10:09 |
Last Modified: | 24 Jun 2024 05:02 |
URI: | http://publications.journalstm.com/id/eprint/202 |