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Penetrative convection induced by the absorption of radiation with a nonlinear internal heat source

Hill, Antony A.

Authors

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Antony Hill Antony.Hill@uwe.ac.uk
College Dean of Learning and Teaching



Abstract

A model for convection induced by the selective absorption of radiation in a fluid layer is investigated. The concentration based internal heat source is modelled quadratically. A linear analysis and conditional nonlinear analysis are performed. Due to the presence of significantly large regions of potential subcritical instabilities, the results indicate that linear theory may only be accurate enough to predict the onset of convective motion when the model for the internal heat source is predominantly linear. This lends much credence to the use of a linearly modelled internal heat source as used by Krishnamurti [Dyn. Atmos. Oceans 27 (1997) 367], within the constraints of the parameter ranges. © 2004 Elsevier B.V. All rights reserved.

Citation

Hill, A. A. (2004). Penetrative convection induced by the absorption of radiation with a nonlinear internal heat source. Dynamics of Atmospheres and Oceans, 38(1), 57-67. https://doi.org/10.1016/j.dynatmoce.2004.03.002

Journal Article Type Article
Publication Date Jul 1, 2004
Journal Dynamics of Atmospheres and Oceans
Print ISSN 0377-0265
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 38
Issue 1
Pages 57-67
DOI https://doi.org/10.1016/j.dynatmoce.2004.03.002
Keywords penetrative convection, nonlinear heat source, subcritical instabilities, energy theory
Public URL https://uwe-repository.worktribe.com/output/1065022
Publisher URL http://dx.doi.org/10.1016/j.dynatmoce.2004.03.002