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Mathematical modelling of peristaltic transport of a non-Newtonian fluid.

TLDR
The paper considers the phenomena of peristaltic transport of a non-Newtonian fluid represented as a power law fluid and shows the close proximity between analytical and numerical solutions when considering stream functions for various values of the flow behaviour index.
Abstract
The paper considers the phenomena of peristaltic transport of a non-Newtonian fluid represented as a power law fluid. The governing equations are the modified Navier-Stokes equations and the continuity equation in axisymmetric form. A solution is sought in terms of a perturbation series and it is shown the close proximity between analytical and numerical solutions when considering stream functions for various values of the flow behaviour index.

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Journal ArticleDOI

A mathematical study of peristaltic transport of a casson fluid

TL;DR: In this article, the peristaltic flow of rheologically complex physiological fluids when modelled by a non-Newtonian Casson fluid in a two-dimensional channel is considered.
Journal ArticleDOI

Peristaltic transport of a Casson fluid in an asymmetric channel.

TL;DR: The peristaltic transport of a Casson fluid in a two — dimensional asymmetric channel is studied under long- wavelength and low-Reynolds number assumption and the phenomena of trapping and reflux have been discussed in the symmetric case of the channel.
Journal ArticleDOI

Analysis of non-Newtonian effects in peristaltic pumping

TL;DR: In this paper, the impact of non-linear viscoelastic fluid properties on the pumping characteristics of a peristaltic system has been studied theoretically and the wave shape may be arbitrary and is specified for illustration purposes only.
Journal ArticleDOI

Peristaltic transport of small particles--power law fluid suspension in a channel.

TL;DR: Peristaltic motion of a non-Newtonian, incompressible power law fluid with suspension of small particles in a twodimensional channel is analyzed and the behaviour of the axial velocity of fluid and solid particles has been discussed.
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