IJPAM: Volume 90, No. 1 (2014)

PERISTALTIC TRANSPORT OF A CASSON FLUID
IN A CHANNEL WITH PERMEABLE WALLS

A.N.S. Srinivas$^1$, R. Hemadri Reddy$^2$, S. Srinivas$^3$, S. Sreenadh$^4$
$^{1,2,3}$School of Advanced Sciences
VIT University
Vellore, Tamil Nadu, 632 014, INDIA
$^4$Department of Mathematics
Sri Venkateswara University
Tirupati, 517 502, INIDA


Abstract. Peristaltic transport of a Casson fluid in a channel with permeable walls is investigated. Exact analytical solution of the flow quantities are developed under long wavelength and low Reynolds number assumptions. The effects of Darcy number and yield stress on the pumping characteristics are obtained and discussed. It is observed that for a given $\Delta P$, the flux $\bar{Q}$ decreases with increasing Darcy number. Further, it is noticed that for a given $\Delta P$, the flux $\bar{Q}$ decreases with increasing yield stress ‘$\tau $’. This may be due to the yield stress behaviour of the Casson fluid. The results of the trapping phenomenon are analyzed. Four different wave forms are considered. The comparison of the different wave forms is discussed.

Received: July 31, 2013

AMS Subject Classification:

Key Words and Phrases: peristalsis, Casson fluid, channel flow, permeable walls, wave forms

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DOI: 10.12732/ijpam.v90i1.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 90
Issue: 1