Mathematical issues concerning the Boussinesq approximation for thermally coupled viscous flows

The flow of a viscous fluid driven by buoyancy forces is governed by balance equations for momentum, mass, and internal energy. Frequently, the Boussinesq approximation is employed to simplify the system, even in situations where dissipative heating cannot be neglected. The resulting equations viola...

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Bibliographic Details
Published inProceedings in applied mathematics and mechanics Vol. 7; no. 1; pp. 1101205 - 1101206
Main Authors Díaz, J. Ildefonso, Rakotoson, Jean-Michel, Schmidt, Paul G.
Format Journal Article
LanguageEnglish
Published Berlin WILEY-VCH Verlag 01.12.2007
WILEY‐VCH Verlag
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Summary:The flow of a viscous fluid driven by buoyancy forces is governed by balance equations for momentum, mass, and internal energy. Frequently, the Boussinesq approximation is employed to simplify the system, even in situations where dissipative heating cannot be neglected. The resulting equations violate the principle of conservation of total energy, which causes significant mathematical problems. We discuss these problems and possible remedies. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Bibliography:ArticleID:PAMM200700471
DGISGPI (Spain) - No. MTM2005-03463
istex:457A27AA933339A126F30683F538EA07762EFEA1
ark:/67375/WNG-H6LWVSHC-8
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.200700471