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  Thermal boundary layer equation for turbulent Rayleigh-Bénard convection

Shishkina, O., Horn, S., Wagner, S., & Ching, E. S. C. (2015). Thermal boundary layer equation for turbulent Rayleigh-Bénard convection. Physical Review Letters, 114(11): 114302. doi:10.1103/PhysRevLett.114.114302.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-7B34-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-D88B-A
Genre: Journal Article

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 Creators:
Shishkina, Olga1, Author              
Horn, Susanne1, Author              
Wagner, Sebastian1, Author              
Ching, E. S. C., Author
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1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, DE, ou_2063287              

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 Abstract: We report a new thermal boundary layer equation for turbulent Rayleigh-Benard convection for Prandtl number Pr>1 that takes into account the effect of turbulent fluctuations. These fluctuations are neglected in existing equations, which are based on steady-state and laminar assumptions. Using this new equation, we derive analytically the mean temperature profiles in two limits: (a) Pr>1, Pr~1 and (b) Pr>>1. These two theoretical predictions are in excellent agreement with the results of our direct numerical simulations for Pr=4.38 (water) and Pr=2547.9 (glycerol) respectively.

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Language(s): eng - English
 Dates: 2015-03-202015-03
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevLett.114.114302
BibTex Citekey: Shishkina.Horn.ea2015
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Title: Physical Review Letters
Source Genre: Journal
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Pages: 5 Volume / Issue: 114 (11) Sequence Number: 114302 Start / End Page: - Identifier: -