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Flow development in a porous channel and tube

Brady, J. F. (1984) Flow development in a porous channel and tube. Physics of Fluids, 27 (5). pp. 1061-1067. ISSN 0031-9171. doi:10.1063/1.864735.

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The spatial development of the inlet velocity profile in a uniformly porous channel and tube is investigated. For tubes which are very long compared with their radius, it is shown that above a critical Reynolds number of 2.3 the inlet velocity profile does not necessarily decay into the fully developed, similarity profile for an infinite tube. Rather, the structure of the flow throughout the entire tube is influenced by the inlet profile. This loss of validity of the similarity solution is due to the fact that the tube is of finite length and the inlet profile is not of the similarity form. The actual length of the tube is, however, unimportant. Analogous results hold for the flow in a porous channel, with a critical Reynolds number of approximately 6.

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Brady, J. F.0000-0001-5817-9128
Additional Information:Copyright © 1984 American Institute of Physics. Received 31 May 1983; accepted 4 November 1983. The help of L. Durlofsky in preparing Figs. 2 and 8 and for many discussions is greatly appreciated, as is A.M. Thuer's contribution to the numerical programming. This research was supported in part by a DuPont Young Faculty Grant.
Funding AgencyGrant Number
DuPont Young Faculty GrantUNSPECIFIED
Subject Keywords:channels, porosity, tubes, velocity distribution, radii, length, Reynolds number, fluid flow, Navier−Stokes equations
Issue or Number:5
Record Number:CaltechAUTHORS:BRApof84
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12436
Deposited By: Archive Administrator
Deposited On:26 Nov 2008 19:42
Last Modified:08 Nov 2021 22:28

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