We derive the equivalent of the Oberbeck-Boussinesq approximation for second-grade fluids. We find that two new nondimensional 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.

Boussinesq-type approximation for second-grade fluids

PASSERINI, Arianna;
2005

Abstract

We derive the equivalent of the Oberbeck-Boussinesq approximation for second-grade fluids. We find that two new nondimensional 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.
2005
Passerini, Arianna; Thaeter, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/522532
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