不对称柔性壁管道内幂律流体蠕动传输的精确解

T·哈亚特; M·贾佛德

doi:10.3879/j.issn.1000-0887.2010.10.004

不对称柔性壁管道内幂律流体蠕动传输的精确解

doi: 10.3879/j.issn.1000-0887.2010.10.004

T·哈亚特^1,2,
M·贾佛德¹

1.
奎德-艾-阿扎姆大学数学系,伊斯兰堡44000, 巴基斯坦;2.沙特国王大学科学学院数学系,P.O.Box 2455,利雅得11451,沙特阿拉伯

基金项目: 巴基斯坦高等教育委员会(HEC)资助项目

详细信息

中图分类号: O373
计量
- 文章访问数: 2032
- HTML全文浏览量: 285
- PDF下载量: 759
- 被引次数: 0
出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-07-12
- 刊出日期: 2010-10-15

Exact Solution for Peristaltic Transport of Power-Law Fluid in an Asymmetric Channel With Compliant Walls

T. Hayat^1,2,
Maryiam Javed¹

1.
Department of Mathematics, Quaid-i-Azam University, Islamabad-44000, Pakistan;

摘要

摘要: 在不对称管道内，研究了壁面柔曲性对非Newton流体蠕动流的影响．流变学性质由幂律流体本构方程表征．在数学表达中，采用了长波和低Reynolds数近似．得到了流函数和速度的精确解．给出了流线图及其俘获现象．对所讨论的流动，陈列了关键参数的显著特征，并最后给出了主要结论．
- 蠕动流 /
- 幂律流体 /
- 柔性壁
Abstract: Effects of compliant wall properties on the peristaltic flow of a non-Newtonian fluid in an asymmetric channel were investigated.The rheological characteristics were characterized by the constitutive equations of a power-law fluid.Long wavelength and low Reynolds number approximations were adopted in the presentation of mathematical developments.Exact solutions were established for the stream function and velocity.The streamlines pattern and trapping are given due attention.The salient features of the key parameters entering into the present flow are displayed and important conclusions have been pointed out.
- peristaltic flow /
- power-law fluid /
- compliant walls

HTML全文

参考文献(25)

[1]	Shapiro A H, Jaffrin M Y, Weinberg S L. Peristaltic pumping with long wavelengths at low Reynolds number[J]. J Fluid Mech, 1969, 37(4): 799-825. doi: 10.1017/S0022112069000899
[2]	Fung Y C, Yih C S. Peristaltic transport[J]. Trans ASME J Appl Mech, 1968, 35: 669-675. doi: 10.1115/1.3601290
[3]	Fetecau C, Fetecau C, Khan M, Vieru D. Decay of a potential vortex in a generalized Oldroyd-B fluid[J]. Appl Math Computation, 2008, 205(1): 497-506. doi: 10.1016/j.amc.2008.08.017
[4]	Hayat T, Fetecau C, Sajid M. On MHD transient flow of a Maxwell fluid in a porous medium and rotating frame[J]. Phys Letters A, 2008, 372(10): 1639-1644. doi: 10.1016/j.physleta.2007.10.036
[5]	Hayat T, Wang Y, Siddiqui A M, Hutter K. Peristaltic motion of Johnson-Segalman fluid in a planar channel[J]. Math Problems Eng, 2003, 2003(1): 1-23. doi: 10.1155/S1024123X03308014
[6]	Hayat T, Wang Y, Hutter K, Asghar S, Siddiqui A M. Peristaltic transport of an Oldroyd-B fluid in a planar channel[J]. Math Problems Eng, 2004, 2004(4): 347-376. doi: 10.1155/S1024123X04405043
[7]	Hayat T, Khan M, Asghar S, Siddiqui A M. A mathematical model of peristalsis in tubes through a porous medium[J]. J Porous Media, 2006, 9(1): 55-67. doi: 10.1615/JPorMedia.v9.i1.40
[8]	Hayat T, Mahomed F M, Asghar S. Peristaltic flow of a magnetohydrodynamic Johnson-Segalman fluid[J]. Nonlinear Dynamics, 2005, 40(4): 375-385. doi: 10.1007/s11071-005-7799-0
[9]	Hayat T, Khan M, Siddiqui A M, Asghar S. Non-linear peristaltic flow of a non-Newtonian fluid under effect of a magnetic field in a planar channel[J]. Comm Nonlinear Sci Numer Simulation, 2007, 12(6): 910-919. doi: 10.1016/j.cnsns.2005.08.007
[10]	Mekheimer Kh S, Elmaboud Y Abd. The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: application of an endoscope[J]. Phys Lett A, 2008, 372(10): 1657-1659. doi: 10.1016/j.physleta.2007.10.028
[11]	Mekheimer Kh S. Peristaltic transport of a couple-stress fluid in a uniform and non-uniform channels[J]. Biorheology, 2002, 39(6): 755-765.
[12]	Mekheimer Kh S. Peristaltic flow of blood under effect of a magnetic field in non-uniform channels[J]. Appl Math Computation, 2004, 153(3): 763-777. doi: 10.1016/S0096-3003(03)00672-6
[13]	Elshahed M, Haroun M H. Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field[J]. Math Problems Eng, 2005, 2005(6): 663-667. doi: 10.1155/MPE.2005.663
[14]	Akgul M B, Pakdemirli M. Analytic and numerical solutions of electro-osmotically driven flow of a third grade fluid between micro-parallel plates[J]. International Journal of Non-Linear Mechanics, 2008, 43(9): 985-992. doi: 10.1016/j.ijnonlinmec.2008.07.008
[15]	Raju K K, Devanathan R. Peristaltic motion of a non-Newtonian—part Ⅰ[J]. Rheol Acta, 1972, 11(2): 170-178. doi: 10.1007/BF01993016
[16]	Radhakrishnamacharya G. Long wave length approximation to peristaltic motion of power law fluid[J]. Rheol Acta, 1982, 21(1): 30-35. doi: 10.1007/BF01520703
[17]	Lew H S, Fung Y C, Lowenstein C B. Peristaltic carrying and mixing of chyme in the small intestine (an analysis of a mathematical model of peristaltic of the small intestine)[J]. J Biomech, 1971, 4(4): 297-315. doi: 10.1016/0021-9290(71)90036-4
[18]	Misra J C, Pandey S K. A mathematical model for oesophageal swallowing of a food bolus[J]. Math Comput Model, 2001, 33(8/9): 997-1009. doi: 10.1016/S0895-7177(00)00295-8
[19]	Srivastava L M, Srivastava V P. Peristaltic transport of power-law fluid: application to the ductus of efferentes of the reproductive tract[J]. Rheol Acta, 1988, 27(4): 428-433. doi: 10.1007/BF01332164
[20]	Mishra M, Rao A R. Peristaltic transport of a Newtonian fluid in an asymmetric channel[J]. Z Angew Math Phys, 2003, 54(3): 532-550. doi: 10.1007/s00033-003-1070-7
[21]	Ali N, Hayat T, Asghar S. Peristaltic flow of a Maxwell fluid in a channel with compliant walls[J]. Chaos, Solitons & Fractals, 2009, 39(1): 407-416.
[22]	Hayat T, Javed M, Ali N. MHD peristaltic transport of a Jeffrey fluid in a channel with compliant walls and porous space[J]. Trans Porous Media, 2008, 74(3): 259-274. doi: 10.1007/s11242-007-9196-2
[23]	Srinivas S, Kothandapani M. The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls[J]. Appl Math Computation, 2009, 213(1): 197-208. doi: 10.1016/j.amc.2009.02.054
[24]	Hayat T, Javed M, Asghar S. MHD peristaltic motion of Johnson-Segalman fluid in a channel with compliant walls[J]. Phys Lett A, 2008, 372(30): 5026-5036. doi: 10.1016/j.physleta.2008.03.065
[25]	Kothandapani M, Srinivas S. On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium[J]. Phys Lett A, 2008, 372(25): 4586-4591. doi: 10.1016/j.physleta.2008.04.050