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Technical Briefs

Flow Within a Pipe Annulus With Injection and Suction Through a Porous Wall With High Wall Reynolds Numbers

[+] Author and Article Information
Y. Moussy1

 Entreprise Moussy, 01170 Vesancy, Franceyvonne.moussy@orange.fr

A. D. Snider

Department of Electrical Engineering, University of South Florida, Tampa, FL 33620

1

Corresponding author.

J. Fluids Eng 133(1), 014501 (Jan 13, 2011) (5 pages) doi:10.1115/1.4003183 History: Received July 12, 2010; Revised November 30, 2010; Published January 13, 2011; Online January 13, 2011

An approximate solution to the Navier–Stokes equations was found for the case describing two-dimensional steady-state laminar flow over an array of porous pipes with high wall Reynolds number. The Navier–Stokes equations in cylindrical coordinates reduced to a fourth-order nonlinear differential equation, which was solved for high wall Reynolds number flows through the porous wall using a zeroth- and first-order singular perturbation method. Our analytic solution for the high wall Reynolds number case is consistent with solutions found from the low Reynolds number case and that found using finite element analysis.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Porous pipes in an equilateral triangular array (upper). Longitudinal view of a single porous pipe next to another porous pipe (lower).

Grahic Jump Location
Figure 2

Velocity profiles versus length in radial direction (Re=250, x/rm=10)

Grahic Jump Location
Figure 3

Axial pressure drop versus length in flow direction (Re=1500)

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