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Laminar natural convection in cavities filled with circular and square rods

✍ Scribed by Edimilson J. Braga; Marcelo J.S. de Lemos


Book ID
103830921
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
804 KB
Volume
32
Category
Article
ISSN
0735-1933

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✦ Synopsis


This work compares heat transfer characteristics across a square cavity partially filled with a fixed amount of conducting solid material. The solid phase is shaped into two different geometries, namely square and cylindrical rods, which are horizontally displaced inside the cavity. Comparisons are obtained by numerically solving a conjugate heat transfer problem that considers both the solid and the fluid space. Governing equations are solved using the finite volume method and the algebraic equation set is relaxed with the SIP procedure. The average Nusselt number at the hot wall, obtained from the cavity with square obstacles and for several Darcy numbers, are compared with those calculated with circular obstacles. When comparing the two geometries considering the same modified Rayleigh number Ra m , this study shows that the average Nusselt number for cylindrical rods are slightly lower than those for square rods.


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Steady natural convection at low Prandtl numbers caused by large density differences in a square cavity heated through the side walls is investigated numerically and theoretically. An appropriate dimensionless parameter characterizing the density differences of the working fluid is identified by the