Long interfacial waves inside an inclined permeable channel

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• 作者：Kadry Zakaria ^{kadry0zakaria@yahoo.com}
• 关键词：Superposed liquids ; Inclined permeable channel ; Fixed points ; Shkadov wave
• 刊名：International Journal of Non-Linear Mechanics
• 出版年：2012
• 期刊代码：87_00207462
• 类别：et
• 出版时间：May, 2012
• 卷：47
• 期：4
• 页码：42-48
• 文件大小：247 K

摘要

The time evolution of superposed layers of fluid flowing down inside an inclined permeable channel is investigated. Using the K谩rm谩n-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.