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TECHNICAL BRIEF

Influence of Lateral Walls on Peristaltic Flow in a Rectangular Duct

[+] Author and Article Information
M. V. Reddy, S. Sreenadh

Department of Mathematics,  Sri Venkateswara University, Tirupati-517502, India

Manoranjan Mishra

 Institut Non Linéaire de Nice, UMR 6618 CNRS, Sophia Antipolis, 1363 route des Lucioles 06560, Valbonne, France

A. Ramachandra Rao1

Department of Mathematics,  Indian Institute of Science, Bangalore-560012, Indiaramchand@math.iisc.ernet.in

1

Corresponding author

J. Fluids Eng 127(4), 824-827 (Mar 10, 2005) (4 pages) doi:10.1115/1.1994876 History: Received August 03, 2004; Revised March 10, 2005

The flow of a viscous fluid due to symmetric peristaltic waves propagating on the horizontal sidewalls of a rectangular duct is studied under the assumptions of long wavelength and low Reynolds number. The effect of aspect ratio β, ratio of height to width, on the pumping characteristics is discussed in detail. The results are compared to with those corresponding to Poiseuille flow.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic diagram of peristaltic flow with waves propagating on horizontal walls in a rectangular duct

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Figure 2

Variation of Δp versus Q¯ with ϕ=0.6, (a) for small values of β, (b) for large β, and the corresponding graphs for Poiseuille flow are given in dashed lines.

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Figure 3

Variation of Δp versus β with ϕ=0.6, (a) for different values of flux Q¯ and (b) enlargement of (a) near β=0

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Figure 4

(a) Variation of Q¯ versus β with ϕ=0.6, for different value of Δp, and (b) variation of free pumping flux with β for different ϕ

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