Part of the ERCOFTAC Series book series (ERCO, volume 15)
Non-Oberbeck-Boussinesq effects in three-dimensional Rayleigh-Bénard convection
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
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- 2.Boussinesq, J. V.: Theorie Analytique de la Chaleur 2. Gauthier-Villars (1903) Google Scholar
© Springer Science+Business Media B.V. 2011