Florinda Capone
Penetrative convection in a fluid layer with throughflow
Capone, Florinda; Gentile, Maurizio; Hill, Antony A.
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 |
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