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Penetrative convection in a fluid layer with throughflow

Capone, Florinda; Gentile, Maurizio; Hill, Antony A.

Authors

Florinda Capone

Maurizio Gentile

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



Abstract

Linear and nonlinear stability analyses of vertical throughflow in a fluid layer, where the density is quadratic in temperature, are studied. To avoid the loss of key terms a weighted functional is used in the energy analysis. Both conditional and unconditional thresholds are derived. When the throughflow is ascending the linear and nonlinear boundaries show substantial agreement. The linear boundary remains close to the conditional nonlinear boundary for descending throughflow, whilst the unconditional threshold begins to diverge. © 2008 Università degli Studi di Napoli "Federico II".

Citation

Capone, F., Gentile, M., & Hill, A. A. (2008). Penetrative convection in a fluid layer with throughflow. Ricerche di matematica, 57(2), 251-260. https://doi.org/10.1007/s11587-008-0035-8

Journal Article Type Article
Publication Date Dec 1, 2008
Deposit Date Oct 24, 2012
Journal Ricerche di Matematica
Print ISSN 0035-5038
Electronic ISSN 1827-3491
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 57
Issue 2
Pages 251-260
DOI https://doi.org/10.1007/s11587-008-0035-8
Keywords energy method, throughflow, penetrative convection
Public URL https://uwe-repository.worktribe.com/output/1017429
Publisher URL http://dx.doi.org/10.1007/s11587-008-0035-8