PassiveConvection3.pdf (423.22 kB)
When is natural convection completely passive?
journal contribution
posted on 2015-04-10, 14:13 authored by Anthony KayMomentum 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
Zeitschrift für Angewandte Mathematik und MechanikCitation
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.Publisher
© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2016Notes
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.ISSN
0044-2267Publisher version
Language
- en