Non-linear properties of thermal convection
Abstract
Thermal convection in a layer heated form below is an exemplary case for the study of non-linear fluid dynamics and the transition to turbulence. An outline is given of the present knowledge of the simplest realisation of convection in a layer of fluid satisfying the Oberbeck-Boussinesq approximation. Non-linear properties such as the dependence of the heat transport on Rayleigh and Prandtl numbers and the stability properties of convection rolls are emphasised in the discussion. Whenever possible, theoretical results are compared with experimental observations. A section on convection in rotating systems has been included, but the influence of other additional physical effects such as magnetic fields, side wall geometry, etc., has not been considered.
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Under conditions of small convective Rossby number and negligible viscous momentum dissipation and thermal diffusion, convective plumes are columns aligned with M_V surfaces because rapid rotation inhibits motion perpendicular to M_V surfaces in the absence of viscous or other stresses.
“Under these circumstances, convective plumes are columns aligned with M V surfaces because, as above, rapid rotation inhibits motion perpendicular to M V surfaces in the absence of viscous or other stresses (e.g., Busse 1976Busse , 1978;;Kaspi et al. 2009;Jones et al. 2009).”
From Mechanisms of Jet Formation on the Giant Planets (2010) · cites this paper as Busse 1978
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- Authors
- Busse, F. H.
- Affiliations
- University of California, Los Angeles (US)
- Corresponding author
- Busse, F H
- ORCID
- Busse, F H
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 1978-12-01
- Volume
- 41
- Issue
- 12
- Pages
- 1929-1967
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W2045108849
- Cited by
- 960
- References
- 95
- Citations by year
- 2026: 16 · 2025: 21 · 2024: 30 · 2023: 15 · 2022: 32 · 2021: 36 · 2020: 27 · 2019: 23 · 2018: 21 · 2017: 17 · 2016: 12 · 2015: 18 · 2014: 11 · 2013: 12 · 2012: 12
- FWCI
- 20.37
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Reports on Progress in Physics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Physical Sciences › Engineering › Computational Mechanics › Fluid dynamics and aerodynamics studies
- Physical Sciences › Engineering › Computational Mechanics › Combustion and flame dynamics
- Keywords
- thermal convection, laminar-turbulent transition, Boussinesq approximation, heat transport, Rayleigh number, Prandtl number, convection rolls, rotating convection, Rayleigh-Bénard convection
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