Penetrative convection in a fluid layer with throughflow

被引：21
作者：
Capone F. [1 ]
Gentile M. [1 ]
Hill A.A. [2 ]
机构：
[1] Department of Mathematics and Applications Renato Caccioppoli, University of Naples Federico II, Naples 80126, via Cintia
[2] Department of Mathematical Sciences, Durham University, Durham DH1 3LE, South Road
来源：
Ricerche di Matematica | 2008年 / 57卷 / 2期
基金：
英国工程与自然科学研究理事会;
关键词：
Energy method; Penetrative convection; Throughflow;
D O I：
10.1007/s11587-008-0035-8
中图分类号：
学科分类号：
摘要：
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"."
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收藏
页码：251 / 260
页数：9
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