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Zbl 1017.76086
Lei, Chengwang; Patterson, John C.
Unsteady natural convection in a triangular enclosure induced by absorption of radiation. (English)
[J] J. Fluid Mech. 460, 181-209 (2002). ISSN 0022-1120; ISSN 1469-7645/e

Summary: The authors have previously reported [A numerical simulation of the daytime natural convection in a reservoir sidearm. Proc. Int. Symp. on Advances in Computational Heat Transfer, Palm Cove, Australia, 20-25 May 2001, 745-752 (2001)] a model experiment on the unsteady natural convection in a triangular domain induced by the absorption of solar radiation. This issue is reconsidered here both analytically and numerically. The present study consists of two parts: a scaling analysis and a numerical simulation. The scaling analysis for small bottom slopes reveals that a number of flow regimes are possible depending on the Rayleigh number and the relative value of certain non-dimensional parameters describing the flow. In a typical situation, the flow can be classified broadly into a conductive, a transitional or a convective regime determined merely by the Rayleigh number. Proper scales have been established to quantify the flow properties in each of these flow regimes. The numerical simulation has verified the scaling results.

MSC 2000:: *76R10 Free convection
76M20 Finite difference methods
80A20 Heat and mass transfer

Keywords: second-order time accurate backward differencing scheme; successive over-relaxation method; iterative procedure; unsteady natural convection; triangular domain; absorption; solar radiation; scaling analysis; Rayleigh number

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