Boussinesq-type approximation for second-grade fluids

被引：9
|
作者：
Passerini, A
Thäter, G
机构：
[1] Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany
[2] Univ Ferrara, Dipartmento Matemat, I-44100 Ferrara, Italy
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2005年 / 40卷 / 06期
关键词：
Oberbeck-Boussinesq approximation; second-grade fluids; onset of convection; dissipative heating;
D O I：
10.1016/j.ijnonlinmec.2004.07.019
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We derive the equivalent of the Oberbeck-Boussinesq approximation for second-grade fluids. We find that two new non-dimensional numbers (in comparison to the Newtonian model) have to be taken into account in order to arrive at the approximation. In addition we deduce a system which does not neglect dissipative heating together with criteria which qualify the system to be suitable. (c) 2004 Elsevier Ltd. All rights reserved.
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页码：821 / 831
页数：11
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