Bifurcation of natural convection flow in an inclined differentially heated closed square cavity

Williamson, N., Armfield, S.W., Kirkpatrick, M.P, and Lin, Wenxian (2015) Bifurcation of natural convection flow in an inclined differentially heated closed square cavity. Computational Thermal Sciences, 7 (5-6). pp. 417-425.

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Abstract

The natural convection flow in an inclined differentially heated cavity is investigated numerically with two-dimensional simulations at Rayleigh number Ra = 1 x 10(7) and Ra = 1 x 10(8) for Prandtl number Pr = 7.0. At theta = 0, the problem is the standard canonical differentially heated cavity flow with isothermal "hot" and "cold" vertical walls and with adiabatic horizontal walls. As the angle of inclination is increased, with the hot wall situated below the cold wall, the flow approaches an unstable Rayleigh-Bernard type flow. Below a critical angle the fully developed flow is steady and exhibits the same basic structure of the standard cavity flow. As the angle of inclination is increased, the flow undergoes a bifurcation so that the fully developed flow is unsteady and single mode. The bifurcation takes the form of traveling waves continually circulating the periphery of the cavity. These waves are supported by convectively unstable natural convection boundary layers on the heated/cooled walls and by attached plumes on the adiabatic walls. It is the establishment of these plumes coupling the opposing boundary layers which provides the mechanism for absolutely unstable flow.

Item ID: 45480
Item Type: Article (Research - C1)
ISSN: 1940-2554
Keywords: convection, numerical simulation, differentially heated cavity flow, traveling waves, stability
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Funders: Australian Research Council (ARC)
Date Deposited: 03 Aug 2016 07:30
FoR Codes: 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics @ 50%
09 ENGINEERING > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics @ 30%
09 ENGINEERING > 0915 Interdisciplinary Engineering > 091502 Computational Heat Transfer @ 20%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 100%
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