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A determination of the effective viscosity for the Brinkman–Forchheimer flow model

Published online by Cambridge University Press:  26 April 2006

R. C. Givler  and
S. A. Altobelli
R. C. Givler
Affiliation:
Engineering Sciences Center, Sandia National Laboratories, Albuquerque, NM 87185, USA
S. A. Altobelli
Affiliation:
Lovelace Medical Foundation, Albuquerque, NM 87108, USA
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Abstract

The effective viscosity μe for the Brinkman–Forchheimer flow (BFF) model has been determined experimentally for steady flow through a wall-bounded porous medium. Nuclear magnetic resonance (NMR) techniques were used to measure non-invasively the ensemble-average velocity profile of water flowing through a tube filled with an open-cell rigid foam of high porosity (ϕ = 0.972). By comparing these data with the BFF model, for which all remaining parameters were measured independently, it was determined that μe = (7.5+3.4−2.4)μf, where μf was the viscosity of the fluid. The Reynolds number, based upon the square root of the permeability, was 17.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 258 , 10 January 1994 , pp. 355 - 370
Copyright
© 1994 Cambridge University Press

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