Natural Convection Inside an Inclined Wavy Enclosure Filled with a Porous Medium |
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Authors: | Aydin Misirlioglu A Cihat Baytas Ioan Pop |
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Institution: | (1) Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak-Istanbul, Turkey;(2) Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP 253, Romania |
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Abstract: | The Darcy flow model with the Boussinesq approximation is used to investigate numerically the natural convection inside an
inclined wavy cavity filled with a porous medium. Finite Element Method is used to discretize the governing differential equations
with non-staggered variable arrangement. Results are presented for
and
, where ϕ, Ra, A and λ correspond to the cavity inclination angle, Rayleigh number, aspect ratio and surface waviness parameter, respectively.
Stream and isotherm lines representing the corresponding flow and thermal fields, and local and average Nusselt numbers distribution
expressing the rate of heat transfer are determined and shown on graphs and tables. A good agreement is observed between the
present results and those known from the open literature. The flow and thermal structures found to be highly dependent on
surface waviness for inclination angles less than 45°, especially for high Rayleigh numbers. |
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Keywords: | inclined wavy cavity natural convection fluid saturated porous media FEM |
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