Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 47, Issue 4, Pages 42-48Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2012.02.002
Keywords
Superposed liquids; Inclined permeable channel; Fixed points; Shkadov wave
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The time evolution of superposed layers of fluid flowing down inside an inclined permeable channel is investigated. Using the Karman-Pohlhausen approximation, the problem is reduced to the study of the evolution equation for the liquid-liquid interface of the liquids film derived through a long-wave approximation. A linear stability analysis of the base flow is performed. The solutions and stability of the non-linear stationary long waves are investigated. A special form of the stationary long waves (say Shkadov waves) is introduced. (C) 2012 Elsevier Ltd. All rights reserved.
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