The Bénard problem is faced with a new Oberbeck-Boussinesq system whose buoyancy term is also pressure dependent. As a consequence one can no more deal with the pressure as the reaction of the incompressibility constraint, so that the system is fully coupled. The new profile of the pressure is more realistic, the classic results are recovered in the limit and the linear instability analysis is performed.
The Bénard problem for quasi-thermal-incompressible materials: a linear analysis
PASSERINI, Arianna
Primo
;
2014
Abstract
The Bénard problem is faced with a new Oberbeck-Boussinesq system whose buoyancy term is also pressure dependent. As a consequence one can no more deal with the pressure as the reaction of the incompressibility constraint, so that the system is fully coupled. The new profile of the pressure is more realistic, the classic results are recovered in the limit and the linear instability analysis is performed.File in questo prodotto:
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