Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (6): 689-700.doi: https://doi.org/10.1007/s10483-011-1449-7

• Articles • 上一篇    下一篇

Peristaltic flow of Walter’s B fluid in endoscope

S. NADEEM1, N.S.AKBAR1, T. HAYAT1,2, A. A. HENDI2   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan;
    2. Department of Physics, Faculty of Science, King Saud University, P.O. Box 1846, Riyadh 11321, Saudi Arabia
  • 收稿日期:2010-09-19 修回日期:2011-03-30 出版日期:2011-06-01 发布日期:2011-06-01
  • 基金资助:

    Project supported by the Visiting Professor Programming of King Saud University (No. KSU-VPP-117)

Peristaltic flow of Walter’s B fluid in endoscope

S. NADEEM1, N.S.AKBAR1, T. HAYAT1,2, A. A. HENDI2   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan;
    2. Department of Physics, Faculty of Science, King Saud University, P.O. Box 1846, Riyadh 11321, Saudi Arabia
  • Received:2010-09-19 Revised:2011-03-30 Online:2011-06-01 Published:2011-06-01
  • Supported by:

    Project supported by the Visiting Professor Programming of King Saud University (No. KSU-VPP-117)

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 theWalter’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 are obtained using the regular perturbation method by taking δ 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 Walter’s B fluid are presented graphically.

Abstract: 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 theWalter’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 are obtained using the regular perturbation method by taking δ 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 Walter’s B fluid are presented graphically.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals