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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v36.i6.60
pages 552-565

Solutions to the Brinkman - Forchheimer Momentum Equation for a Unidirectional Flow over a Rectangular Domain

Robert Van Gorder
Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA
Kuppalapalle Vajravelu
University of Central Florida
Fahir Akyildiz
University of Gaziantep

RÉSUMÉ

Analytical solutions to the semi-linear Brinkman-Forchheimer momentum equation are obtained using the method of Rayleigh-Ritz. The obtained results are in good agreement with the asymptotic results obtained in this paper and with those available in the literature. Furthermore, we discuss the effects of the various physical parameters on the fluid flow in a porous duct. Of all the parameters, the adverse pressure gradient G has the strongest effect in increasing the fluid velocity.


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