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国际流体力学研究期刊
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN 打印: 2152-5102
ISSN 在线: 2152-5110

国际流体力学研究期刊

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
Department of Mathematics, University of Central Florida, Orlando, Florida 32816, USA
Fahir Akyildiz
University of Gaziantep

ABSTRACT

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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