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Logarithmic Temperature Profiles in Turbulent Rayleigh-Benard Convection

Identifieur interne : 000759 ( Main/Exploration ); précédent : 000758; suivant : 000760

Logarithmic Temperature Profiles in Turbulent Rayleigh-Benard Convection

Auteurs : Guenter Ahlers [États-Unis] ; Eberhard Bodenschatz [Allemagne] ; Denis Funfschilling [France] ; Siegfried Grossmann [Allemagne] ; Xiaozhou He [Allemagne] ; Detlef Lohse [Pays-Bas] ; Richard Stevens [Pays-Bas] ; Roberto Verzicco [Pays-Bas]

Source :

RBID : Hal:hal-00778260

English descriptors

Abstract

We report results for the temperature profiles of turbulent Rayleigh-Benard convection (RBC) in the interior of a cylindrical sample of aspect ratio Gamma equivalent to D/L = 0.50 (D and L are the diameter and height, respectively). Both in the classical and in the ultimate state of RBC we find that the temperature varies as A X ln(z/L) + B, where z is the distance from the bottom or top plate. In the classical state, the coefficient A decreases in the radial direction as the distance from the side wall increases. For the ultimate state, the radial dependence of A has not yet been determined. These findings are based on experimental measurements over the Rayleigh-number range 4 X 10(12) less than or similar to Ra less than or similar to 10(15) for a Prandtl number Pr similar or equal to 0.8 and on direct numerical simulation at Ra = 2 X 10(12), 2 X 10(11), and 2 X 10(10), all for Pr = 0.7.

Url:
DOI: 10.1103/PhysRevLett.109.114501


Affiliations:


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<tutelles>
<tutelle active="#struct-375173" type="direct">
<org type="institution" xml:id="struct-375173" status="INCOMING">
<orgName>Universiteit Twente</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Pays-Bas</country>
<placeName>
<settlement type="city">Enschede</settlement>
<region nuts="2">Overijssel</region>
</placeName>
<orgName type="university">Université de Twente</orgName>
</affiliation>
</author>
</analytic>
<idno type="DOI">10.1103/PhysRevLett.109.114501</idno>
<series>
<title level="j">Physical Review Letters</title>
<idno type="ISSN">0031-9007</idno>
<imprint>
<date type="datePub">2012-09-14</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="mix" xml:lang="en">
<term>LENGTH SCALES</term>
<term>NUMBER</term>
<term>SEARCH</term>
<term>THERMAL-BOUNDARY LAYERS</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">We report results for the temperature profiles of turbulent Rayleigh-Benard convection (RBC) in the interior of a cylindrical sample of aspect ratio Gamma equivalent to D/L = 0.50 (D and L are the diameter and height, respectively). Both in the classical and in the ultimate state of RBC we find that the temperature varies as A X ln(z/L) + B, where z is the distance from the bottom or top plate. In the classical state, the coefficient A decreases in the radial direction as the distance from the side wall increases. For the ultimate state, the radial dependence of A has not yet been determined. These findings are based on experimental measurements over the Rayleigh-number range 4 X 10(12) less than or similar to Ra less than or similar to 10(15) for a Prandtl number Pr similar or equal to 0.8 and on direct numerical simulation at Ra = 2 X 10(12), 2 X 10(11), and 2 X 10(10), all for Pr = 0.7.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>Allemagne</li>
<li>France</li>
<li>Pays-Bas</li>
<li>États-Unis</li>
</country>
<region>
<li>Grand Est</li>
<li>Lorraine (région)</li>
<li>Overijssel</li>
</region>
<settlement>
<li>Enschede</li>
<li>Metz</li>
<li>Nancy</li>
</settlement>
<orgName>
<li>Université de Lorraine</li>
<li>Université de Twente</li>
</orgName>
</list>
<tree>
<country name="États-Unis">
<noRegion>
<name sortKey="Ahlers, Guenter" sort="Ahlers, Guenter" uniqKey="Ahlers G" first="Guenter" last="Ahlers">Guenter Ahlers</name>
</noRegion>
</country>
<country name="Allemagne">
<noRegion>
<name sortKey="Bodenschatz, Eberhard" sort="Bodenschatz, Eberhard" uniqKey="Bodenschatz E" first="Eberhard" last="Bodenschatz">Eberhard Bodenschatz</name>
</noRegion>
<name sortKey="Grossmann, Siegfried" sort="Grossmann, Siegfried" uniqKey="Grossmann S" first="Siegfried" last="Grossmann">Siegfried Grossmann</name>
<name sortKey="He, Xiaozhou" sort="He, Xiaozhou" uniqKey="He X" first="Xiaozhou" last="He">Xiaozhou He</name>
</country>
<country name="France">
<region name="Grand Est">
<name sortKey="Funfschilling, Denis" sort="Funfschilling, Denis" uniqKey="Funfschilling D" first="Denis" last="Funfschilling">Denis Funfschilling</name>
</region>
</country>
<country name="Pays-Bas">
<region name="Overijssel">
<name sortKey="Lohse, Detlef" sort="Lohse, Detlef" uniqKey="Lohse D" first="Detlef" last="Lohse">Detlef Lohse</name>
</region>
<name sortKey="Stevens, Richard" sort="Stevens, Richard" uniqKey="Stevens R" first="Richard" last="Stevens">Richard Stevens</name>
<name sortKey="Verzicco, Roberto" sort="Verzicco, Roberto" uniqKey="Verzicco R" first="Roberto" last="Verzicco">Roberto Verzicco</name>
</country>
</tree>
</affiliations>
</record>

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