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
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
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
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
摘要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.
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.
SI Xin-Hui**;ZHENG Lian-Cun;ZHANG Xin-Xin;SI Xin-Yi;YANG Jian-Hong
. Flow of a Viscoelastic Fluid through a Porous Channel with Expanding or Contracting Walls[J]. 中国物理快报, 2011, 28(4): 44702-044702.
SI Xin-Hui**, ZHENG Lian-Cun, ZHANG Xin-Xin, SI Xin-Yi, YANG Jian-Hong
. Flow of a Viscoelastic Fluid through a Porous Channel with Expanding or Contracting Walls. Chin. Phys. Lett., 2011, 28(4): 44702-044702.
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2011, Vol. 28 
