FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Flow of a Viscoelastic Fluid through a Porous Channel with Expanding or Contracting Walls |
SI Xin-Hui1**, ZHENG Lian-Cun1, ZHANG Xin-Xin2, SI Xin-Yi3, YANG Jian-Hong2
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1Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083
2Department of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083
3College of Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098
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Cite this article: |
SI Xin-Hui, ZHENG Lian-Cun, ZHANG Xin-Xin et al 2011 Chin. Phys. Lett. 28 044702 |
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Abstract The flow of a viscoelastic fluid in porous channels with expanding or contracting walls is investigated. Using a similar transformation, the governing equations are reduced to a nonlinear fifth-order differential equation. The homotopy analysis method is employed to obtain the expression for velocity fields. The analytical solutions are influenced by the permeation Reynolds number Re, the wall expansion ratio α and viscoelastic parameter ω. Graphs are sketched and the effects of some values of parameters, especially the expansion ratio, on the velocity fields are discussed in detail.
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Keywords:
47.15.Cb
02.60.Lj
46.35.1z
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Received: 12 June 2010
Published: 29 March 2011
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PACS: |
47.15.Cb
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(Laminar boundary layers)
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02.60.Lj
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(Ordinary and partial differential equations; boundary value problems)
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46.35.1z
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Abstract
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