Long interfacial waves inside an inclined permeable channel |
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Authors: | Kadry Zakaria |
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Institution: | Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt |
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Abstract: | The time evolution of superposed layers of fluid flowing down inside an inclined permeable channel is investigated. Using the Kármán-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. |
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