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
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Publisher's URL: http://dx.doi.org/10.1007/s11587-008-0035-8
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.
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