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Heat flux enhancement by regular surface roughness in turbulent thermal convection

Wagner, Sebastian and Shishkina, Olga (2015) Heat flux enhancement by regular surface roughness in turbulent thermal convection. Journal of Fluid Mechanics, 763 (1), pp. 109-135. Cambridge University Press. doi: 10.1017/jfm.2014.665. ISSN 0022-1120.

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Official URL: http://dx.doi.org/10.1017/jfm.2014.665


Direct numerical simulations (DNS) of turbulent thermal convection in a boxed-shaped domain with rough heated bottom and cooled top surfaces are conducted for Prandtl number Pr=0.786 and Rayleigh numbers Ra between 10e6 and 10e8. The surface roughness is introduced by 4 parallelepiped equidistantly distributed obstacles attached to the bottom plate and 4 obstacles located symmetrically at the top plate. By varying Ra, the height and length of the obstacles, we investigate the influence of the regular wall roughness on the turbulent heat transport measured by the Nusselt number Nu. The presented empirical function to estimate the increase of Nu due to the roughness represents almost perfectly the DNS results. The exponent in the Nu vs. Ra scaling changes from about 0.31 for smooth walls to about 0.37 in the studied cases of the rough walls. We show that the mean secondary flow in the cavities between the obstacles and the wind, which develops in the core part of the domain and is always stronger than the secondary flows, are related to each other and can be influenced by the geometry of the regular roughness in such a way that the strengthening (weakening) of one of them leads to the weakening (strengthening) of the other. Generally, the growth of the roughness' height leads to stronger flows both, in the cavities and in the bulk region, while the increase of the obstacles' width strengthens only the large scale circulation of the fluid and weakens the secondary flows. The increase of Ra always leads to stronger flows both, in the cavities and in the bulk.

Item URL in elib:https://elib.dlr.de/84685/
Document Type:Article
Additional Information:Published online: 11 December 2014, Jan. 2015
Title:Heat flux enhancement by regular surface roughness in turbulent thermal convection
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Journal or Publication Title:Journal of Fluid Mechanics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 109-135
Publisher:Cambridge University Press
Keywords:Bénard convection, convection in cavities, turbulent convection
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Terrestrial Vehicles (old)
DLR - Research area:Transport
DLR - Program:V BF - Bodengebundene Fahrzeuge
DLR - Research theme (Project):V - Next Generation Train III (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Fluid Systems
Deposited By: Micknaus, Ilka
Deposited On:12 Dec 2014 14:10
Last Modified:21 Sep 2023 12:45

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