Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection

By G. Ahlers, S. Grossmann, Detlef Lohse. 2008

1,353 citations recorded by the source corpus.

The progress in our understanding of several aspects of turbulent Rayleigh-Benard convection is reviewed. The focus is on the question of how the Nusselt number and the Reynolds number depend on the Rayleigh number Ra and the Prandtl number Pr, and on how the thicknesses of the thermal and the kinetic boundary layers scale with Ra and Pr. Non-Oberbeck-Boussinesq effects and the dynamics of the large scale convection roll are addressed as well. The review ends with a list of challenges for future research on the turbulent Rayleigh-Benard system.

Subfields: Computational Mechanics, Global and Planetary Change, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/b550999ae8e2e905945dacb20aba729ad5ea9b7b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Richard J.A.M. Stevens
2. Detlef Lohse
3. Jörg Schumacher
4. Julien Aubert
5. T. Gastine
6. Johannes Wicht
7. Roberto Verzicco
8. M. Emran

In Global and Planetary Change

1. Richard J.A.M. Stevens
2. Roberto Verzicco
3. Jörg Schumacher
4. E. King
5. J. Aurnou
6. S. Stellmach
7. Detlef Lohse
8. S. Grossmann

In Mechanical Engineering

1. Richard J.A.M. Stevens
2. Roberto Verzicco
3. E. King
4. J. Aurnou
5. S. Stellmach
6. Detlef Lohse

Citations in the corpus

• Scaling regimes in spherical shell rotating convection (2016, background): “…transport scaling is then expected to become independent of the Ekman number and to approach the scalings obtained in classical RBC, i.e. Nu ∼ Raνeff , with 0.27 ≤ νeff ≤ 1/3 for 105 ≤ Ra ≤ 1012 (e.g. Grossmann & Lohse 2000; Funfschilling et al. 2005; Ahlers et al. 2009; Chillà & Schumacher 2012).”
• Aspect ratio dependence of heat transfer and large-scale flow in turbulent convection (2010, background): “[1] Ahlers, G.”
• Heat transfer by rapidly rotating Rayleigh–Bénard convection (2012, methodology): “Furthermore, this 1/3 scaling for the thermal boundary layer thickness is more likely to apply to asymptotically high-Ra convection than a 2/7 law, which has a limited range of applicability (e.g. Ahlers et al. 2009).”
• Radial boundary layer structure and Nusselt number in Rayleigh–Bénard convection (2009, methodology): “1989; Shraiman & Siggia 1990; Grossmann & Lohse 2000, 2001, 2002; Lohse & Toschi 2003; Ahlers et al. 2009). For more moderate Ra up to 2 × 10(14) previous direct numerical simulation (DNS) by Amati et al. (2005) in a three-dimensional cylindrical cell of aspect ratio 1/2 with Pr = 0.7 showed a highe”