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Homotopy analysis solutions for the asymmetric laminar flow in a porous channel with expanding or contracting walls 被引量：7

Homotopy analysis solutions for the asymmetric laminar flow in a porous channel with expanding or contracting walls
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摘要 In this paper, the asymmetric laminar flow in a porous channel with expanding or contracting walls is investigated. The governing equations are reduced to ordinary ones by using suitable similar transformations. Homotopy analysis method （HAM） is employed to obtain the expres- sions for velocity fields. Graphs are sketched for values of parameters and associated dynamic characteristics, especially the expansion ratio, are analyzed in detail. In this paper, the asymmetric laminar flow in a porous channel with expanding or contracting walls is investigated. The governing equations are reduced to ordinary ones by using suitable similar transformations. Homotopy analysis method （HAM） is employed to obtain the expres- sions for velocity fields. Graphs are sketched for values of parameters and associated dynamic characteristics, especially the expansion ratio, are analyzed in detail.
作者 X.-H. Si L.-C. Zheng X.-X. Zhang Y. Chao
机构地区 Applied Science School Department of Mechanical Engineering Research Institute of Chemical Defense of the EL.A
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第2期208-214,共7页 力学学报（英文版）
基金 supported by the National Natural Science Foundations of China (50936003, 50905013) The Open Project of State Key Lab. for Adv. Matals and Materials (2009Z-02) Research Foundation of Engineering Research Institute of USTB
关键词 Homotopy analysis method · Expanding or contracting wall · Asymmetric laminar flow · Porous channel · Expansion ratio Homotopy analysis method · Expanding or contracting wall · Asymmetric laminar flow · Porous channel · Expansion ratio
分类号 TU528.01 [建筑科学—建筑技术科学] S357 [农业科学—作物栽培与耕作技术]
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参考文献31

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二级参考文献12

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同被引文献47

  • 1Shangjun Ye,Keqin Zhu,W. Wang.Laminar flow of micropolar fluid in rectangular microchannels[J].Acta Mechanica Sinica,2006,22(5):403-408. 被引量：8
  • 2Berman A S. Laminar flow in channels with porous walls [ J ]. Journal of Applied Physics, 1953, 24(9) : 1232-1235.
  • 3Terrill R M, Thomas P W. Laminar flow in a uniformly porous pipe[J]. Applied Science Research, 1959, 21( 1 ) : 37-67.
  • 4Terrill R M. On some exponentially small terms arising in flow through a porous pipe [ J]. The Quarterly Journal of Mechanics and Applied Mathematics, 1973, 26 ( 3 ) : 347-354.
  • 5Terrill R M. Laminar flow in a uniformly porous channel[J]. The Aeronautical Quarterly, 1964, 15: 299-310.
  • 6Robinson W A. The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls[ J]. Journal of Engineering Mathematics, 1976, 10( 1 ) : 23-40.
  • 7Terrill R M. Laminar flow through parallel and uniformly porous walls of different permeability[J]. ZAMP, 1965, 16: 470-482.
  • 8Terrill R M, Shrestha G M. Laminar flow through parallel and uniformly porous walls of different permeabilityl J]. Zeitschrift fur Angewandte Mathematik und Physik, 1965, 16 : 470- 482.
  • 9Uchida S, Aoki H. Unsteady flows in a semi-infinite contracting or expanding pipe[ J]. Journal of Fluid Mechanics, 1977,82 ( 2 ) :371-387.
  • 10Ohki Morimatsu. Unsteady flows in a porous, elastic, circular tube--part 1 : the wall contracting or expanding in an axial direction [ J ]. Bulletin of the JSME, 1980, 23 (179 ) : 579-585.

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Acta Mechanica Sinica
2011年 第2期

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