Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2740

Full Length Research Paper

Peristalsis in a rotating fluid

  N. Ali1*, M. Sajid2, T. Javed1 and Z. Abbas3  
  1Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan.                       2Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad, Pakistan.   3Department of Mathematics, the Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan.
Email: [email protected]

  •  Accepted: 11 June 2012
  •  Published: 16 August 2012

Abstract

 

This paper is devoted to the study of peristaltic flow of a viscous fluid in a rotating frame. The governing equations for the flow problem are derived under the long wavelength approximation. The closed form solutions for the stream function and the secondary velocity are obtained. The effects of Taylor number on physical quantities of interest such as the pressure rise per wavelength and the flow rate due to secondary velocity are discussed. The important phenomenon of trapping is also investigated for different values of Taylor number. It is interesting to note that the pressure rise reduces for a rotating fluid in comparison with that of the non-rotating one. Also, increase in rotation reduces the size of trapped bolus and shifts it towards the boundary.

 

Key words: Peristaltic motion, rotating frame, planar channel.