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Title: When is natural convection completely passive?
Authors: Kay, Anthony
Issue Date: 2016
Publisher: © 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Citation: KAY, A., 2016. When is natural convection completely passive? Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 96(3), pp.279-303.
Abstract: Momentum and energy equations for vertical flow, including viscous dissipation and pressure work, are derived and shown to require that the cross-section mean density is taken as the reference density for calculation of buoyancy forces under the Boussinesq approximation. Solutions are obtained for flow between parallel plane walls, with and without the pressure work as an explicit term in the energy equation. Both walls are at the same temperature, so there is no thermal forcing, but solutions are obtained for all admissible values of dynamic pressure gradient. The passive convection condition, whereby the flow is driven entirely by buoyancy forces resulting from heat generated by the flow's own viscous dissipation, is found on one branch of the dual solutions. However, while theoretically possible, passive convection is not physically realisable with any real fluid.
Description: This is the peer reviewed version of the following article: KAY, A., 2016. When is natural convection completely passive? Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 96(3), pp.279-303, which has been published in final form at http://dx.doi.org/10.1002/zamm.201400177. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
Version: Accepted for publication
DOI: 10.1002/zamm.201400177
URI: https://dspace.lboro.ac.uk/2134/17237
Publisher Link: http://dx.doi.org/10.1002/zamm.201400177
ISSN: 0044-2267
Appears in Collections:Published Articles (Maths)

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