Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
We investigate unsteady flow of a thin film of Newtonian fluid around a symmetric slender dry patch moving with constant velocity on an inclined planar substrate, the flow being driven by a prescribed constant shear stress at the free surface of the film (which would be of uniform thickness in the a...
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| Main Authors: | , , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
Universiti Kebangsaan Malaysia
2013
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| 在線閱讀: | http://journalarticle.ukm.my/6315/1/13_Yazariah.pdf http://journalarticle.ukm.my/6315/ http://www.ukm.my/jsm/ |
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| 總結: | We investigate unsteady flow of a thin film of Newtonian fluid around a symmetric slender dry patch moving with constant velocity on an inclined planar substrate, the flow being driven by a prescribed constant shear stress at the free surface of the film (which would be of uniform thickness in the absence of the dry patch). We obtain a novel unsteady travelling-wave similarity solution which predicts that the dry patch has a parabolic shape and that the film thickness increases monotonically away from the dry patch. |
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