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ISSN Online: 2377-424X

ISBN Print: 1-56032-797-9

International Heat Transfer Conference 11
August, 23-28, 1998, Kyongju, Korea

BUOYANCY INDUCED FLOWS IN SPHERICAL ANNULAR SECTORS OF SMALL ANGLE

Get access (open in a dialog) DOI: 10.1615/IHTC11.3600
pages 537-542

要約

Results from the analysis of buoyancy driven flows in isothermal spherical annular sectors, with a sector angle of π/8, are presented for Prandtl numbers Pr = 0.7 and 7, Grashof numbers Gr < 5×104, and gap aspect ratios γ = 0.05, 0.1, 0.15, and 0.2. Steady unicellular flows are calculated for Gr < Grc and steady multicellular flows for Gr > Grc. These flows are found to be similar to those observed in circular containers of small γ, though the spherical geometry influences the onset of multicellular convection, roll size, and flow velocity. Initial conditions influence the solutions for some cases, two sets of solutions resulting from the quiescent and non-quiescent initial conditions in such cases. The multicellular flows cause local extrema of the local Nusselt number, resulting in strong dependence of the global Nusselt number on Gr and γ.