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Peristaltic transport of pseudoplastic fluid in a curved channel with wall properties and slip conditions

  • S. Hina
  • , T. Hayat
  • , M. Mustafa
  • , A. Alsaedi
  • Fatima Jinnah Women University, Rawalpindi
  • Quaid-I-Azam University
  • Faculty of Sciences, King Abdulaziz University
  • National University of Sciences and Technology Pakistan

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

Effects of wall properties and slip condition on the peristaltic flow of an incompressible pseudoplastic fluid in a curved channel are studied. Series solution of the governing problem is obtained after applying long wavelength and low Reynolds number approximations. The results are validated with the numerical solutions through the built-in routine for solving nonlinear boundary value problems via software Mathematica. The variations of different parameters on axial velocity are carefully analyzed. Behaviors of embedding parameters on the dimensionless stream function are also discussed. It is noted that the axial velocity and size of trapped bolus increases with an increase in slip parameter. It is also observed that the profiles of axial velocity are not symmetric about the central line of the curved channel which is different from the case of planar channel.

Original languageEnglish
Article number1450015
JournalInternational Journal of Biomathematics
Volume7
Issue number2
DOIs
StatePublished - Mar 2014
Externally publishedYes

Keywords

  • Shear-thinning fluid
  • compliant wall
  • curved channel
  • nonlinear boundary-value problem
  • peristalsis
  • series solution

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