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Peristaltic flow of Walter’s B fluid in endoscope

Peristaltic flow of Walter’s B fluid in endoscope
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摘要 The peristaltic flow of a Walter＇s B fluid in an endoscope is studied. The problem is modeled in a cylindrical coordinate system. The main theme of the present analysis is to study the endoscopic effects on the peristaltic flow of the Waiter＇s B fluid. To the best of the authors＇ knowledge, no investigation has been made so far in the literatures to study the Walter＇s B fluid in an endoscope. Analytical solutions axe obtained using the regular perturbation method by taking 5 as a perturbation parameter. The approximate analytical solutions for the pressure rise and friction forces are evaluated using numerical integration. The effects of emerging parameters of the Waiter＇s B fluid are presented graphically. The peristaltic flow of a Walter＇s B fluid in an endoscope is studied. The problem is modeled in a cylindrical coordinate system. The main theme of the present analysis is to study the endoscopic effects on the peristaltic flow of the Waiter＇s B fluid. To the best of the authors＇ knowledge, no investigation has been made so far in the literatures to study the Walter＇s B fluid in an endoscope. Analytical solutions axe obtained using the regular perturbation method by taking 5 as a perturbation parameter. The approximate analytical solutions for the pressure rise and friction forces are evaluated using numerical integration. The effects of emerging parameters of the Waiter＇s B fluid are presented graphically.
作者 S.NADEEM N.S.AKBAR T.HAYAT A.A.HENDI
机构地区 Department of Mathematics Department of Physics
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第6期689-700,共12页 应用数学和力学（英文版）
基金 Project supported by the Visiting Professor Programming of King Saud University (No. KSU-VPP-117)
关键词 peristaltic flow Walter＇s B fluid ENDOSCOPE perturbation solution. peristaltic flow, Walter＇s B fluid, endoscope, perturbation solution.
分类号 O357.2 [理学—流体力学]
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参考文献23

  • 1Nadeem, S. and Akbar, N. S. Influence of heat transfer on a peristaltic transport of Herschel Bulkley fluid in a non-uniform inclined tube. Communications in Nonlinear Science and Numerical Simulation, 14, 410(4113 (2009) DOI 10.1016/j.cnsns.2009.02.032.
  • 2Hakeem, A. E., Naby, A. E., Misery, A. E. M. E., and Shamy, I. I. E. Separation in the flow through peristaltic motion of a Carreau fluid in uniform tube. Physica A, 343, 1 14 (2004).
  • 3Ealshahed, M. and Haroun, M. H. Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field, Mathematical. Problems in Engineering, 6, 663-677 (2005).
  • 4Nadeem, S. and Akbar, N. S. Effects of heat transfer on the peristaltic transport of MHD Newto- nian fluid with variable viscosity: application of a domain decomposition method. Communications in Nonlinear Science and Numerical Simulation, 14, 3844-3855 (2009).
  • 5Nadeem, S. and Akbar, N. S. Influence of radially varying MHD to the peristaltic flow in an annulus with heat and mass transfer. Taiwan Institute of Chemical Engineers, 41,286-294 (2010).
  • 6Hakeem, A. E., Naby, A. E., Misery, A. E. M. E., and Shamy, I. I. E. Hydromagnetic flow of fluid with variable viscosity in a uniform tube with peristalsis. Physica A, 36, 8535 8547 (2003).
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  • 8Mekheimer, K. S. and Elmaboud, Y. A. Peristaltic flow of a couple stress fluid in an annulus: application of an endoscope. Physica A, 387, 2403-2415 (2008).
  • 9Hakeem, A. E., Naby, A. E., Misery, A, E. M. E., and Shamy, I. I. E. Effects of an endoscope and generalized Newtonian fluid on peristaltic motion. Applied Mathematics and Computation, 128, 19-35 (2002).
  • 10Mekheimer, K. S. and Elmaboud, Y. A. The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: an application of an endoscope. Physics Letters A, 372, 1657-1665 (2008).
Applied Mathematics and Mechanics(English Edition)
2011年 第6期

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