Peristaltic transport of two immiscible viscous fluids in a circular tube

Rao, Adabala Ramachandra and Usha, Srinivasan (1995) Peristaltic transport of two immiscible viscous fluids in a circular tube. In: Journal of Fluid Mechanics, 298 . pp. 271-285.

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Abstract

Peristaltic motion of two immiscible viscous incompressible fluids in a circular tube is studied in pumping and copumping ranges under long-wavelength and low-Reynolds-number assumptions. The effect of the peripheral-layer viscosity on the time-averaged flux and the mechanical efficiency is studied. The formation and growth of the trapping zone in the core and the peripheral layer are explained. It is observed that the bolus volume in the peripheral layer increases with an increase in the viscosity ratio. The limits of the time-averaged flux (Q) over bar for trapping in the core are obtained. The trapping observed in the peripheral layer decreases in size with an increase in (Q) over bar but never disappears. The development of the complete trapping of the core fluid by the peripheral-layer fluid with an increase in the time-averaged flux is demonstrated. The effect of peripheral-layer viscosity on the reflux layer is investigated. It is also observed that the reflux occurs in the entire pumping range for all viscosity ratios and it is absent in the entire range of copumping.

Item Type:	Journal Article
Publication:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
Additional Information:	Copyright of this article belongs to Cambridge University Press.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	31 May 2011 05:56
Last Modified:	31 May 2011 05:56
URI:	http://eprints.iisc.ac.in/id/eprint/37852

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