期刊文献+

Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall

Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall
下载PDF
导出
摘要 The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall is investigated. The governing equations are reduced to ordinary ones by using similar transformations. To get the analytic solution to the problem, the homotopy analysis method (HAM) is employed to obtain the expressions for velocity fields. Graphs are sketched and discussed for various parameters, especially the effect of the expansion ratio on velocity and micro-rotation fields. The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall is investigated. The governing equations are reduced to ordinary ones by using similar transformations. To get the analytic solution to the problem, the homotopy analysis method (HAM) is employed to obtain the expressions for velocity fields. Graphs are sketched and discussed for various parameters, especially the effect of the expansion ratio on velocity and micro-rotation fields.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第9期1073-1080,共8页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China(Nos.50936003 and 50905013) the Open Project of State Key Laboratory for Advanced Metals and Materials (No.2009Z-02)
关键词 homotopy analysis method micropolar fluid expanding or contracting wall porous channel homotopy analysis method, micropolar fluid, expanding or contracting wall, porous channel
  • 相关文献

参考文献29

  • 1Uchida, S. and Aoki, H. Unsteady flows in a semi-infinite contracting or expanding pipe. Journal of Fluid Mechanics 82(2), 371-387 (1977).
  • 2Ohki, M. Unsteady flows in a porous, elastic, circular tube: part 1, the wall contracting or expanding in an axial direction. Bulletin of the JSME 23(179), 679-686 (1980).
  • 3Goto M. and Uchida. S. Unsteady flow in a semi-infinite expanding pipe with injection through wall. Journal of the Japan Society for Aeronautical and Space Science 33(9), 14-27 (1990).
  • 4Bujurke, N. M., Pai, N. P., and Jayaraman, G. Computer extended series solution for unsteady flow in a contracting or expanding pipe. IMA Journal of Applied Mathematics 60(2), 151 165 (1998).
  • 5Majdalani, J., Zhou, C., and Dawson, C. D. Two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability. Journal of Biomechanics 35(10), 1399-1403 (2002).
  • 6Dauenhauer, C. E. and Majdalani, J. Exact self-similarity solution of the Navier-Stokes equations for a porous channel with orthogonally moving walls. Physics of Fluids 15(6), 1485-1495 (2003).
  • 7Majdalani, J. and Zhou, C. Moderate-to-large injection and suction driven channel flows with expanding or contracting walls. Zeitschrift fur Angewandte Mathematik und Mechanik 83(3), 181-196 (2003).
  • 8Eringen, A. C. Theory of micropolar fluids. Journal of Mathematics and Mechanics 16(1), 1-18 (1966).
  • 9Eringen, A. C. Theory of thermomicropolar fluids. Journal of Mathematical Analysis and Applications 38(1), 480-496 (1972).
  • 10Ariman, T., Turk, M. A., and Sylvester, N. D. Microcontinuum fluid mechanics a review. International Journal of Engineering Science 11(8), 905 930 (1973).

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部