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Peristaltic Motion of Johnson-Segalman Fluid in a Curved Channel with Slip Conditions

S. Hina
Organization: Fatima Jinnah Women University
Department: Department of Mathematical Sciences
M. Mustafa
Organization: School of Natural Sciences (SNS), National University of Sciences and Technology (NUST)
T. Hayat
Organization: Quaid-i-Azam University
Department: Department of Mathematics
Journal / Anthology

Year: 2015
Volume: 9
Issue: 12

Slip effects on the peristaltic transport of Johnson-Segalman fluid through a curved channel have been addressed. The influence of wall properties is also analyzed. Long wavelength and low Reynolds number assumptions have been utilized in the mathematical formulation of the problem. The equations so formed have been solved numerically by shooting method through computational software Mathematica 8. In addition the analytic solution for small Weissenberg number (elastic parameter) is computed through a regular perturbation method. An excellent agreement is noticed between the two solutions. The results indicate an increase in the magnitude of velocity with an intensification in the slip effect. Moreover the size and circulation of the trapped boluses increase with an increase in the slip parameter. Unlike the planar channel, the profiles of axial velocity are not symmetric about the central line of the channel.

*Applied Mathematics