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Turbulent Convection in a Rayleigh-Bénard Cell with Solid Horizontal Plates of Finite Conductivity

Czarnota, Tomasz and Wagner, Claus (2013) Turbulent Convection in a Rayleigh-Bénard Cell with Solid Horizontal Plates of Finite Conductivity. In: New Results in Numerical Experimental Fluid Mechanics VIII Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 121. Springer Verlag, Heidelberg New York Dordrecht London. pp. 607-614. ISBN 978-3-642-35679-7.

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Official URL: http://link.springer.com/chapter/10.1007/978-3-642-35680-3_72

Abstract

For the present study turbulent thermal convection in a rectangular Rayleigh-Bénard cell filled with air (Prandtl number Pr=0.7) is equipped with heating and cooling plates with finite thickness, and hence finite conductivity. To obtain reliable results for Rayleigh numbers Ra ≈ 107, Direct Numerical Simulations (DNS) of turbulent Rayleigh-Bénard convection as well as of the heat transport between the plates are performed with a high-order finite volume method. Our results are compared with those obtained by [4, 5] who studied Rayleigh-Bénard convection in the same cell and for the same Pr and Ra. It is found, that the material properties of the horizontal solid plates affect the boundary conditions at the solid-fluid interfaces. In particular, thermal plumes interacting with poorly conducting plates modify the plate temperature such that the local temperature at the solid-fluid interfaces differs up to 10% to the plate temperature of infinite conductivity plates. Further, the lower temperature difference between top and bottom interfaces leeds to lower effective Rayleigh numbers for the poorly conducting plates. The present analysis shows that the temperature fluctuations in the boundary layer and at the interfaces are similar for highly conducting and infinitely thin plates. Further, we conclude that the solid plates have a damping effect on the temperature fluctuations in the boundary layer and the interaction of the large scale flow structures with the fluid boundaries causes temperature fluctuations at the interfaces.

Item URL in elib:https://elib.dlr.de/82395/
Document Type:Contribution to a Collection
Additional Information:Online ISBN: 978-3-642-35680-3, DOI: 10.1007/978-3-642-35680-3_72
Title:Turbulent Convection in a Rayleigh-Bénard Cell with Solid Horizontal Plates of Finite Conductivity
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Czarnota, TomaszTomasz.Czarnota (at) dlr.deUNSPECIFIED
Wagner, Clausclaus.wagner (at) dlr.deUNSPECIFIED
Date:2013
Journal or Publication Title:New Results in Numerical Experimental Fluid Mechanics VIII
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:121
DOI :10.1007/978-3-642-35680-3_72
Page Range:pp. 607-614
Editors:
EditorsEmail
Dillmann, AndreasDLR
Heller, GerdAirbus Deutschland, Bremen, Germany
Kreplin, Hans-PeterDLR
Nitsche, WolfgangTU Berlin, Berlin, Germany
Peltzer, InkenBeechcraft Berlin aviation GmbH, Schönefeld, Germany
Publisher:Springer Verlag, Heidelberg New York Dordrecht London
Series Name:Notes on Numerical Fluid Mechanics and Multidisciplinary Design
ISBN:978-3-642-35679-7
Status:Published
Keywords:Rayleigh-Bénard Cell, turbulent thermal convection, solid-fluid interfaces
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 - Projekt Next Generation Train (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Fluid Systems
Deposited By: Micknaus, Ilka
Deposited On:27 May 2013 16:00
Last Modified:24 Apr 2015 15:40

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