Time-Dependent Ventilation Flows Driven by Opposing Wind and Buoyancy

Coomaraswamy, I. A. and Caulfield, C. P. (2011) Time-Dependent Ventilation Flows Driven by Opposing Wind and Buoyancy. Journal of Fluid Mechanics, 672. pp. 33-59. DOI 10.1017/S0022112010005847

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Abstract

We consider transient flow in a box containing an isolated buoyancy source, ventilated by a windward high-level opening and a leeward low-level opening, so that prevailing wind acts to oppose buoyancy-driven flow. Hunt & Linden (J. Fluid Mech., vol. 527, 2005, p. 27) demonstrated that two stable steady states can exist above a critical wind strength: buoyancy-driven displacement ventilation with a two-layer stratification and wind-driven mixing ventilation with the whole interior contaminated by buoyant fluid. We present two time-dependent models for this system: a nonlinear ordinary differential equation (ODE) model following Kaye & Hunt (J. Fluid Mech., vol. 520, 2004, p. 135), assuming ‘perfect’ vertical mixing of fluid within each layer, and a partial differential equation model assuming zero vertical mixing, following Germeles (J. Fluid Mech., vol. 71, 1975, p. 601).

Item Type: Article
Uncontrolled Keywords: 2011AREP; IA62; BPI;
Subjects: 99 - Other
Divisions: 99 - Other
Journal or Publication Title: Journal of Fluid Mechanics
Volume: 672
Page Range: pp. 33-59
Identification Number: 10.1017/S0022112010005847
Depositing User: Sarah Humbert
Date Deposited: 04 Nov 2011 18:55
Last Modified: 23 Jul 2013 10:02
URI: http://eprints.esc.cam.ac.uk/id/eprint/2232

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