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Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v11.i1.40
pages 51-71

Peristaltic Flow of a Two-Layer System in a Poroflexible Tube

Manoranjan Mishra
Department of Mathematics, Indian Institute of Science, Bangalore 560012, India; and Center for Nonlinear Phenomena and Complex Systems, Universite Libre de Bruxelles, CP 231, 1050 Brussels, Belgium
A. Ramachandra Rao
Department of Mathematics, Indian Institute of Science, Bangalore 560012, India

ABSTRACT

Peristaltic transport in an axisymmetric tube, with a layer of porous material in the peripheral region and a Newtonian fluid in the core region, is investigated under the lubrication approach. The wall of the tube is considered to be poroflexible, and a slip boundary condition of Saffman type is used. The fluid flow is studied in a wave frame of reference moving with constant velocity c of the peristaltic wave propagating on the wall of the tube. The interface is determined as a part of the solution using the conservation of mass in both regions of the porous medium and fluid medium separately. A shear stress jump condition is used at the interface between the peripheral and core regions. Pumping characteristics, trapping, and reflux phenomena are discussed for various parameters of interest governing the flow like wall slip constant kk and an increase in β.


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