半渗透涨缩管道内微极性流动解析求解

司新辉; 郑连存; 张欣欣; 晁莹

doi:10.3879/j.issn.1000-0887.2010.09.003

半渗透涨缩管道内微极性流动解析求解

doi: 10.3879/j.issn.1000-0887.2010.09.003

北京科技大学应用科学学院,北京 100083;2.北京科技大学机械学院,北京 100083;3.中国人民解放军防化研究院,北京 102205

基金项目: 国家自然科学基金资助项目(50936003;50905013);先进金属和材料国家重点实验室资助项目(2009Z-02)

详细信息

作者简介:
司新辉(1978- ),男,山东聊城人,讲师,博士生(联系人.Tel:+86-10-62332589;E-mail:sixinhui_ustb@126.com).

中图分类号: O175.8;O357.3
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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-07-12
- 刊出日期: 2010-09-15

Analytic Solution for the Flow of a Micropolar Fluid Through a Semi-Porous Channel With an Expanding or Contracting Wall

Applied Science School, University of Science & Technology Beijing, Beijing 100083, P. R. China;

摘要

摘要: 分析了半渗透涨缩管道内的微极性流体的流动．应用合适的相似变换，将控制方程转化为常微分方程组．为了得到该问题的解析解，应用同伦分析方法得到该问题的速度表达式．并且用图形分析了各个不同参数，特别是膨胀系数对速度场和微旋转角速度的影响．
- 同伦分析方法 /
- 微极性流体 /
- 涨缩壁面 /
- 多孔管道
Abstract: The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall was investigated.The governing equations were reduced to ordinary ones by using similar transformations. In order to get the analytic solution of the problem,homotopy analysis method(HAM)was employed to obtain the expressions for velocity fields.Graphs are sketched and discussed for the effects of various parameters,especially the expansion ratio,on velocity and micro-rotation fields in detail.
- homotopy analysis method /
- micropolar fluid /
- expanding or contracting wall /
- porous channel

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参考文献(29)

[1]	Uchida S， Aoki H. Unsteady flows in a semi-infinite contracting or expanding pipe[J]. Journal of Fluid Mechanics, 1977, 82(2): 371-387. doi: 10.1017/S0022112077000718
[2]	Ohki M. 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): 679-686. doi: 10.1299/jsme1958.23.679
[3]	Goto M, Uchida S. Unsteady flow in a semi-infinite expanding pipe with injection through wall [J]. Journal of the Japan Society for Aeronautical and Space Science, 1990, 33(9): 14-27.
[4]	Bujurke N M, Pai N P, Jayaraman G. Computer extended series solution for unsteady flow in a contracting or expanding pipe[J]. IMA Journal of Applied Mathematics, 1998, 60(2): 151-165. doi: 10.1093/imamat/60.2.151
[5]	Majdalani J, Zhou C, Dawson C D. Two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability[J]. Journal of Biomechanics, 2002, 35(10): 1399-1403. doi: 10.1016/S0021-9290(02)00186-0
[6]	Dauenhauer C E, Majdalani J. Exact self-similarity solution of the Navier-Stokes equations for a porous channel with orthogonally moving walls[J]. Physics of Fluids, 2003, 15(6): 1485-1495. doi: 10.1063/1.1567719
[7]	Majdalani J, Zhou C. Moderate-to-large injection and suction driven channel flows with expanding or contracting walls[J]. ZAMM-Zeitschrift für Angewandte Mathematik und Mechanik,2003, 83(3): 181-196. doi: 10.1002/zamm.200310018
[8]	Eringen A C. Theory of micropolar fluids[J]. Journal of Mathematics and Mechanics, 1966, 16(1): 1-18.
[9]	Eringen A C. Theory of thermomicropolar fluids[J]. Journal of Mathematical Analysis and Applications， 1972, 38(2): 480-496. doi: 10.1016/0022-247X(72)90106-0
[10]	Ariman T, Turk M A, Sylvester N D. Microcontinuum fluid mechanics—a review[J]. International Journal of Engineering Science, 1973, 11(8): 905-930. doi: 10.1016/0020-7225(73)90038-4
[11]	Ariman T, Turk M A, Sylvester N D. Application of Microcontinuum fluid mechanics—a review[J]. International Journal of Engineering, 1974, 12(4): 273-293. doi: 10.1016/0020-7225(74)90059-7
[12]	Eringen A C. Microcontinuum Field Theories—Ⅱ: Fluent Media[M]. New York: Springer, 2001.
[13]	Ramachandran P S, Mathur M N, Ojha S K. Heat transfer in boundary layer flow of a micropolar fluid past a curved surface with suction and injection[J]. International Journal of Engineering, 1979, 17(5): 625-639. doi: 10.1016/0020-7225(79)90131-9
[14]	Takhar H S, Bhargava R, Agrawal R S, Balaji A V S. Finite element solution of micropolar fluid flow and heat transfer between two porous discs[J]. International Journal of Engineering Science, 2000, 38(17): 1907-1922. doi: 10.1016/S0020-7225(00)00019-7
[15]	Kelson N A, Farrell T W. Micropolar fluid flow over a porous stretching sheet with strong suction or injection[J]. International Communications in Heat and Mass Transfer, 2001, 28(4): 479-488. doi: 10.1016/S0735-1933(01)00252-4
[16]	Ashraf M, Kamal A M, Syed K S. Numerical study of asymmetric laminar flow of a micropolar fluid in a porous channel[J]. Computers & Fluids, 2009, 38(10): 1895-1902.
[17]	Ashraf M, Kamal A M, Syed K S. Numerical simulation of flow of a micropolar fluid between a porous disk and a non-porous disk[J]. Applied Mathematical Modelling, 2009, 33(4): 1933-1943. doi: 10.1016/j.apm.2008.05.002
[18]	Liao S J. Beyond Perturbation: Introduction to Homotopy Analysis Method[M]. Boca, Raton: Chapman Hall/CRC Press, 2003.
[19]	Liao S J. On the homotopy analysis method for nonlinear problems[J]. Applied Mathematics and Computation, 2004, 147(2): 499-513. doi: 10.1016/S0096-3003(02)00790-7
[20]	Hayat T , Khan M. Homotopy solution for a generalized second grade fluid past a porous plate[J]. Nonlinear Dynamics, 2005, 42(4): 395-405. doi: 10.1007/s11071-005-7346-z
[21]	Hayat T, Khan M, Asghar S. Magnetohydrodynamic flow of an oldroyd 6-constant fluid[J]. Applied Mathematics and Computation, 2004, 155(2): 417-225. doi: 10.1016/S0096-3003(03)00787-2
[22]	Hayat T, Khan M , Siddiqui A M, Asghar S. Transient flows of a second grade fluid[J]. International Journal of Non-Linear Mechanics, 2004, 39(10): 1621-1633. doi: 10.1016/j.ijnonlinmec.2002.12.001
[23]	Abbas Z, Sajid M, Hayat T. MHD boundary-layer flow of an upper-convected Maxwell fluid in a porous channel[J]. Theoretical and Computational Fluid Dynamics, 2006, 20(4): 229-238.
[24]	Sajid M, Hayat T, Asghar S. On the analytic solution of the steady flow of a fourth grade fluid[J]. Physics Letters A, 2006, 355(1): 18-26. doi: 10.1016/j.physleta.2006.01.092
[25]	Sajid M, Abbas Z, Hayat T. Homotopy analysis for boundary layer flow of a micropolar fluid through a porous channel[J]. Applied Mathematical Modelling, 2009, 33(11): 4120-4125. doi: 10.1016/j.apm.2009.02.006
[26]	Scrinivasacharya D, Murthy J V R, Venugopalam D. Unsteady Stokes flow of micropolar fluid between two parallel porous plates[J]. International Journal of Engineering Science, 2001, 39(14): 1557-1563. doi: 10.1016/S0020-7225(01)00027-1
[27]	Rees D, Pop I. Free convection boundary layer flow of a micropolar fluid from a vertical flat plate[J]. IMA Journal of Applied Mathematics, 2001, 61(2):179-191.
[28]	Guram G S, Smith A C. Stagnation flows of micropolar fluids with strong and weak interactions[J]. Computers & Mathematics With Applications, 1980, 6(2): 213-233.
[29]	Liao S J. An optimal homotopy-analysis approach for strongly nonlinear differential equations[J]. Communications in Nonlinear Science and Numerical Simulation, 2010, 15(8): 2003-2016. doi: 10.1016/j.cnsns.2009.09.002

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半渗透涨缩管道内微极性流动解析求解

doi: 10.3879/j.issn.1000-0887.2010.09.003

作者简介:
司新辉(1978- ),男,山东聊城人,讲师,博士生(联系人.Tel:+86-10-62332589;E-mail:sixinhui_ustb@126.com).

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Analytic Solution for the Flow of a Micropolar Fluid Through a Semi-Porous Channel With an Expanding or Contracting Wall

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半渗透涨缩管道内微极性流动解析求解

doi: 10.3879/j.issn.1000-0887.2010.09.003

作者简介: 司新辉(1978- ),男,山东聊城人,讲师,博士生(联系人.Tel:+86-10-62332589;E-mail:sixinhui_ustb@126.com).

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出版历程

Analytic Solution for the Flow of a Micropolar Fluid Through a Semi-Porous Channel With an Expanding or Contracting Wall

计量

出版历程

目录

作者简介:
司新辉(1978- ),男,山东聊城人,讲师,博士生(联系人.Tel:+86-10-62332589;E-mail:sixinhui_ustb@126.com).