Jeffrey流体流过有限长圆柱管时磁流体动力学的蠕动流

D·特里帕蒂; N·阿里; T·哈亚特; M·K·焅比; A·A·佷迪

doi:10.3879/j.issn.1000-0887.2011.10.002

Jeffrey流体流过有限长圆柱管时磁流体动力学的蠕动流

doi: 10.3879/j.issn.1000-0887.2011.10.002

海得拉巴大学印度博拉理工学院,海得拉巴 500078,印度;
国际伊斯兰大学数学与统计系,伊斯兰堡,巴基斯坦;
巴基斯坦真纳大学数学系,伊斯兰堡,巴基斯坦;
沙特国王大学科学学院物理系,1846信箱,利雅得 11320,沙特阿拉伯;

详细信息

中图分类号: O357.2;O361.3
计量
- 文章访问数: 1391
- HTML全文浏览量: 68
- PDF下载量: 775
- 被引次数: 0
出版历程
- 收稿日期: 2011-01-14
- 修回日期: 2011-04-14
- 刊出日期: 2011-10-15

Peristaltic Flow of MHD Jeffrey Fluid Through a Finite Length Cylindrical Tube

BITS-Pilani, Hyderabad Campus, Hyderabad 500078, India;
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan;
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan;
Department of Physics, Faculty of Science, King Saud University, P. O. Box 1846, Riyadh 11320, Saudi Arabia;
Department of Applied Mathematics, IT-BHU, Varanasi-221005, India

摘要

摘要: 研究Jeffrey流体流过有限长管道时的蠕动流．在外加磁场作用时，流体呈导电性．分析是在长波长和低Reynolds数近似假设下完成．得到了压力梯度、体积流量、平均体积流量和局部壁面剪应力的表达式．研究了松弛时间、延迟时间和Hartman数，对压力、局部壁面剪应力以及蠕动泵机械效率的影响．还研究了回流现象，调查了沿管道壁波数非整倍数时的传播情况，研究有限长管道传播的内在特性．
- 蠕动流 /
- 磁流体动力学 /
- Jeffrey流 /
- 有限长管道 /
- 机械效率 /
- 回流
Abstract: The peristaltic flow of Jeffrey fluid through a tube of finite length was studied.The fluid was electrically conducting in the presence of an applied magnetic field.Analysis was carried out under the assumption of long wavelength and low Reynolds number approximations.Expressions of pressure gradient,volume flow rate,average volume flow rate and local wall shear stress were obtained.The effects of relaxation time,retardation time and Hartman number on pressure,local wall shear stress and mechanical efficiency of peristaltic pump were studied.Reflux phenomenon was also investigated.Here the case of propagation of a non-integral number of waves along the tube walls was also examined,which were inherent characteristics of finite length vessels.
- peristaltic flow /
- magnetohydrodynamics /
- Jeffrey fluid /
- finite length tube /
- mechanical efficiency /
- reflux

HTML全文

参考文献(23)

[1]	Hayat T, Ali N, Asghar S，Siddiqui A M. Exact peristaltic flow in tubes with an endoscope[J]. Applied Mathematics and Computation, 2006,182(1):359-368. doi: 10.1016/j.amc.2006.02.052
[2]	Hayat T, Ali N, Asghar S. An analysis of peristaltic transport for flow of a Jeffrey fluid[J]. Acta Mechanica, 2007, 193(1/2): 101-112. doi: 10.1007/s00707-007-0468-2
[3]	Hayat T, Javed M, Ali N. MHD peristaltic transport of a Jeffrey fluid in a channel with compliant walls and porous space[J]. Transp Porous Med, 2008, 74(3): 259-274. doi: 10.1007/s11242-007-9196-2
[4]	Hayat T, Ali N. Peristaltic motion of a Jeffrey fluid under the effect of a magnetic field in a tube[J]. Commun Nonlinear Sci Numer Simul, 2008, 13(7):1343-1352. doi: 10.1016/j.cnsns.2006.12.009
[5]	Hayat T, Ahmad N, Ali N. Effects of an endoscope and magnetic field on the peristalsis involving Jeffrey fluid[J]. Commun Nonlinear Sci Numer Simul, 2008, 13(8): 1581-1591. doi: 10.1016/j.cnsns.2007.02.008
[6]	Kothondponi M, Srinivas S. On the influence of wall properties in the MHD peristaltic transport and the porous medium[J]. Phys Letts A, 2008, 372(25): 4586-4591. doi: 10.1016/j.physleta.2008.04.050
[7]	Mekheimer Kh S. Effect of the induced magnetic field on the peristaltic flow of a couple stress fluid[J]. Phys Letts A, 2008, 372(23): 4271-4278. doi: 10.1016/j.physleta.2008.03.059
[8]	Hayat T, Javed M, Asghar S. MHD peristaltic motion of Johnson-Segalman fluid in a channel with complaint walls[J]. Phys Letts A, 2008, 372(30): 5026-5036. doi: 10.1016/j.physleta.2008.03.065
[9]	Ali N, Hussain Q, Hayat T, Asghar S. Slip effects on the peristaltic transport of MHD fluid with variable viscosity[J]. Phys Letts A, 2008, 372(9): 1477-1489. doi: 10.1016/j.physleta.2007.09.061
[10]	Ebaid A. Effects of magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel[J]. Phys Letts A, 2008, 372(24): 4493-4499. doi: 10.1016/j.physleta.2008.04.031
[11]	Mekheimer Kh S, Abd-elmaboud Y. The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in vertical annulus: application of an endoscope[J]. Phys Letts A, 2008, 372(10): 1657-1665. doi: 10.1016/j.physleta.2007.10.028
[12]	Wang Y, Hayat T, Ali N, Oberlack M. Magnetohydrodynamic peristaltic motion of a Sisko fluid in a symmetric or asymmetric channel[J]. Physica A, 2008, 387（2/3）：347-362. doi: 10.1016/j.physa.2007.10.020
[13]	Hakeem A E, Naby A E, El-Misery A E M， El-Kareem M F A. Effects of a magnetic field on trapping through peristaltic motion for generalized Newtonian fluid in channel[J]. Physica A, 2006, 367: 79-92. doi: 10.1016/j.physa.2005.10.045
[14]	Hayat T, Ali N. Peristaltically induced motion of an MHD third grade fluid in a deformable tube[J]. Physica A, 2006, 370(2):225-239. doi: 10.1016/j.physa.2006.02.029
[15]	El-Shehawey F E, Husseny S Z A. Peristaltic transport of a magneto-fluid with porous boundaries[J]. Appl Maths Comput, 2002, 129(2/3): 421-440. doi: 10.1016/S0096-3003(01)00054-6
[16]	Mekheimer Kh S. Peristaltic flow of blood under the effect of a magnetic field in a non-uniform channels[J]. Appl Maths Comput, 2004, 153(3): 763-777. doi: 10.1016/S0096-3003(03)00672-6
[17]	Hayat T, Ali N. A mathematical description of peristaltic hydromagnetic flow in a tube[J]. Appl Maths Comput, 2007, 188(2): 1491-1502. doi: 10.1016/j.amc.2006.11.035
[18]	El Naby A, El Hakeem A, El Misiery A E M, El Shamy I. Hydromagnetic flow of generalized Newtonian fluid through a uniform tube with peristalsis[J]. Appl Maths Comput, 2006, 173(2): 856-871. doi: 10.1016/j.amc.2005.04.020
[19]	Hayat T, Afsar A, Khan M, Asghar S. Peristaltic transport of a third order fluid under the effect of a magnetic field[J]. Comput Math Appl, 2007, 53(7): 1074-1084. doi: 10.1016/j.camwa.2006.12.014
[20]	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 planner channel[J]. Commun Nonlinear Sci Numer Simul, 2007, 12(6): 910-919. doi: 10.1016/j.cnsns.2005.08.007
[21]	Li M, Brausseur G J. Non-steady peristaltic transport in finite length tubes[J]. J Fluid Mech, 1993, 248: 129-151. doi: 10.1017/S0022112093000710
[22]	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
[23]	Shapiro A H, Jaffrin M Y, Weinberg S L. Peristaltic pumping with long wavelengths at low Reynolds number[J]. J Fluid Mech, 1969, 35: 669-675.