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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v14.i1.70
pages 81-90

NONLINEAR FORCHHEIMER EFFECT ON THE FORCED CONVECTION IN POROUS-SATURATED DUCTS OF A RECTANGULAR CROSS SECTION

Fahir Akyildiz
University of Gaziantep
Dennis A. Siginer
Department of Mechanical Engineering and College of Arts & Sciences, Petroleum Institute, Abu Dhabi, United Arab Emirates

ABSTRACT

Fully developed forced convection in porous-saturated ducts of rectangular cross sections is considered on the basis of the Brinkman-Forchheimer model. The set of semilinear Brinkman-Forchheimer momentum balance and energy equations is solved analytically by the Legendre pseudospectral method. The effect of aspect ratio and the nonlinearity introduced by the Forchheimer number on the velocity and temperature fields is presented, as well as the change in the heat-transfer rates.


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D A Nield