Non-Oberbeck-Boussinesq effects in three-dimensional Rayleigh-Bénard convection
Part of the ERCOFTAC Series book series (ERCO, volume 15)
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To study the classical problem of Rayleigh-Bénard convection, i.e. a fluid layer confined between a heating-plate at the bottom and a cooling-plate at the top, a common assumption is that all material properties are temperature independent, except for the density ρ within the buoyancy part, that changes like
with a constant isobaric expansion coefficient α. In combination with the condition of an incompressible fluid this is the so-called Oberbeck-Boussinesq (OB) approximation (Boussinesq, 1903; Oberbeck, 1879).
$$\rho(T) = \rho_0 \left(1 - \alpha \cdot (T-T_0)\right),$$
KeywordsNusselt Number Direct Numerical Simulation Buoyancy Term High Rayleigh Number Viscous Boundary Layer
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- 2.Boussinesq, J. V.: Theorie Analytique de la Chaleur 2. Gauthier-Villars (1903) Google Scholar
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