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Journal of Porous Media
Fator do impacto: 1.752 FI de cinco anos: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.2019018275
pages 73-85

NUMERICAL STUDY ON NATURAL CONVECTION IN A POROUS CAVITY THAT IS PARTIALLY HEATED AND COOLED BY SINUSOIDAL TEMPERATURE AT VERTICAL WALLS

Liamena Hassinet
LESEI, Department of Mechanical Engineering, University of Batna 2, Algeria
Mohamed Si-Ameur
LESEI Laboratory, Department of Mechanical Engineering, Technology Faculty, University of Batna 2, Algeria

RESUMO

We numerically study unsteady natural convection flow in a cavity filled with porous media in two dimensions using a Brinkman–extended Darcy model. The cavity is heated at the lower half of the left vertical wall and cooled at the upper half of the right vertical wall by sinusoidal varying-temperature profiles, with amplitudes for heating λH and for cooling λC. Horizontal and remaining walls are insulated. We use the finite-control volume method to numerically solve governing conservative equations of mass, momentum, and energy. The problem is analyzed for different values of Rayleigh number Ra in the range 103 ≤ Ra ≤ 106, aspect ratio parameter Ar in the range 1 ≤ Ar ≤ 4, and sinusoidal temperature function in ranges 0.25 ≤ λH ≤ 1.0 and 0 ≤ λC ≤ 1.0. Numerical results show that heat transfer is mainly due to conduction at low Ra ≤ 104. The conduction heat-transfer regime is also indicated for low λH and λC ≤ 0.5. Conduction decreases with increasing λH and λC, and convection gradually becomes dominant with increasing Ra and decreasing Ar. Heat transfer increases with increasing Ra, λH, λC, and Ar = 2, when the convection regime is dominant.


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