Simultaneous effects of viscoelasticity and curvature on peristaltic flow through a curved channel View Full Text


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Article Info

DATE

2016-01

AUTHORS

K. Javid, N. Ali, M. Sajid

ABSTRACT

We have analyzed peristaltic flow of an Oldroyd-B fluid in a curved channel. Assuming the flow to be incompressible, laminar and two-dimensional, the governing partial differential equations are reduced under long wavelength and low Reynolds number approximations into a single nonlinear ordinary differential equation in the stream function. Matlab built-in routine bvp4c is utilized to solve this nonlinear ordinary differential equation. The solution thus obtained is used to investigate the effects of curvature of the channel and Weissenberg number on important phenomena of pumping and trapping associated with peristaltic motion. It is found that for small values of Weissenberg number, the effects of curvature are dominant. However, for large values of Weissenberg number, viscoelastic effects counteract the effects of curvature and help the flow velocity and circulating bolus of fluid to regain their symmetry. More... »

PAGES

87-98

References to SciGraph publications

  • 1972-06. Peristaltic motion of a non-Newtonian fluid in RHEOLOGICA ACTA
  • 1974-12. Peristaltic motion of a non-Newtonian fluid in RHEOLOGICA ACTA
  • 1993-01. Peristaltic motion of a third-order fluid in a planar channel in RHEOLOGICA ACTA
  • 2014-01. Peristaltic motion of third grade fluid in curved channel in APPLIED MATHEMATICS AND MECHANICS
  • 2007-09. Peristaltic flow of a Johnson-Segalman fluid through a deformable tube in THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
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    http://scigraph.springernature.com/pub.10.1007/s11012-015-0203-3

    DOI

    http://dx.doi.org/10.1007/s11012-015-0203-3

    DIMENSIONS

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