Penetrative convection in a fluid layer with throughflow

Capone, F., Gentile, M. and Hill, A. A. (2008) Penetrative convection in a fluid layer with throughflow. Ricerche di Matematica, 57 (2). pp. 251-260. ISSN 0035-5038 Available from:

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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.

Item Type:Article
Uncontrolled Keywords:energy method, throughflow, penetrative convection
Faculty/Department:Faculty of Health and Applied Sciences > Department of Applied Sciences
ID Code:17526
Deposited By: Dr A. Hill
Deposited On:24 Oct 2012 15:20
Last Modified:05 Jan 2017 19:57

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