Slip effects on streamline topologies and their bifurcations for peristaltic flows of a viscous fluid

doi:10.1088/1674-1056/23/6/064701

Abstract We discuss the effects of the surface slip on streamline patterns and their bifurcations for the peristaltic transport of a Newtonian fluid. The flow is in a two-dimensional symmetric channel or an axisymmetric tube. An exact expression for the stream function is obtained in the wave frame under the assumptions of long wavelength and low Reynolds number for both cases. For the discussion of the particle path in the wave frame, a system of nonlinear autonomous differential equations is established and the methods of dynamical systems are used to discuss the local bifurcations and their topological changes. Moreover, all types of bifurcations and their topological changes are discussed graphically. Finally, the global bifurcation diagram is used to summarize the bifurcations.

Keywords: viscous fluid slip condition streamline topologies bifurcation

Received: 05 September 2013
Revised: 30 October 2013
Accepted manuscript online:

PACS:	47.15.-x	(Laminar flows)
	47.10.ad	(Navier-Stokes equations)
	47.15.G-
	05.45.-a	(Nonlinear dynamics and chaos)

Corresponding Authors: Z. Asghar
E-mail: zaheer_asghar@yahoo.com

Cite this article:

Z. Asghar, N. Ali Slip effects on streamline topologies and their bifurcations for peristaltic flows of a viscous fluid 2014 Chin. Phys. B 23 064701

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Slip effects on streamline topologies and their bifurcations for peristaltic flows of a viscous fluid

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