Direct numerical simulation of turbulent rotating Rayleigh-Bénard convection

R.P.J. Kunnen; B.J. Geurts; H.J.H. Clercx

doi:10.1007/978-1-4020-5152-2_27

Direct numerical simulation of turbulent rotating Rayleigh-Bénard convection

R.P.J. Kunnen
, B.J. Geurts
, H.J.H. Clercx

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

The influence of rotation on turbulent convection is investigated with direct numerical simulation. The classical Rayleigh-Benard con guration is augmented with steady rotation about the vertical axis. Correspondingly, characterisation of the dynamics requires both the dimensionless Rayleigh number $Ra$ and the Taylor number $Ta$. With increasing $Ta$ the root-mean-square (rms) velocity variations are found to decrease, while the rms temperature variations increase. Under rotation a mean vertical temperature gradient develops in the bulk. Compared to the non-rotating case, at constant $Ra = 2.5\,10^6$ the Nusselt number increases up to approximately 5% at relatively low rotation rates, $Ta < Ta_m \approx 10^6$, and decreases strongly when $Ta$ is further increased. A striking change in the boundary layer structure arises when $Ta$ traverses an interval about $Ta_m$, as is expressed by the near-wall vertical-velocity skewness.

Original language	English
Title of host publication	Direct and Large-Eddy Simulation VI
Editors	Eric Lamballais, Rainer Friedrich, Bernard J. Geurts, Olivier Métais
Place of Publication	Berlin, Germany
Publisher	Springer
Pages	233-240
Number of pages	8
ISBN (Electronic)	978-1-4020-5152-4
ISBN (Print)	978-1-4020-4909-5
DOIs	https://doi.org/10.1007/978-1-4020-5152-2_27
Publication status	Published - Oct 2006
Event	6th ERCOFTAC Workshop on Direct and Large-Eddy Simulation VI, DLES 2005 - University of Poitiers, Poitiers, France Duration: 12 Sept 2005 → 14 Sept 2005 Conference number: 6

Publication series

Name	ERCOFTAC series
Publisher	Springer
Volume	10
ISSN (Print)	1382-4309
ISSN (Electronic)	2215-1826

Conference

Conference	6th ERCOFTAC Workshop on Direct and Large-Eddy Simulation VI, DLES 2005
Abbreviated title	DLES
Country/Territory	France
City	Poitiers
Period	12/09/05 → 14/09/05

Keywords

Nusselt number
Rayleigh number
Direct numerical simulation
Rotation rate
Taylor number

Access to Document

10.1007/978-1-4020-5152-2_27

Cite this

@inproceedings{ed5d527b4b884029a87e727fc1ca30c1,

title = "Direct numerical simulation of turbulent rotating Rayleigh-B{\'e}nard convection",

abstract = "The influence of rotation on turbulent convection is investigated with direct numerical simulation. The classical Rayleigh-Benard con guration is augmented with steady rotation about the vertical axis. Correspondingly, characterisation of the dynamics requires both the dimensionless Rayleigh number \$Ra\$ and the Taylor number \$Ta\$. With increasing \$Ta\$ the root-mean-square (rms) velocity variations are found to decrease, while the rms temperature variations increase. Under rotation a mean vertical temperature gradient develops in the bulk. Compared to the non-rotating case, at constant \$Ra = 2.5\textbackslash{},10\textasciicircum{}6\$ the Nusselt number increases up to approximately 5\% at relatively low rotation rates, \$Ta < Ta\_m \textbackslash{}approx 10\textasciicircum{}6\$, and decreases strongly when \$Ta\$ is further increased. A striking change in the boundary layer structure arises when \$Ta\$ traverses an interval about \$Ta\_m\$, as is expressed by the near-wall vertical-velocity skewness.",

keywords = "Nusselt number, Rayleigh number, Direct numerical simulation, Rotation rate, Taylor number",

author = "R.P.J. Kunnen and B.J. Geurts and H.J.H. Clercx",

year = "2006",

month = oct,

doi = "10.1007/978-1-4020-5152-2\_27",

language = "English",

isbn = "978-1-4020-4909-5",

series = "ERCOFTAC series",

publisher = "Springer",

pages = "233--240",

editor = "Eric Lamballais and Rainer Friedrich and Geurts, \{Bernard J.\} and Olivier M{\'e}tais",

booktitle = "Direct and Large-Eddy Simulation VI",

address = "Germany",

note = "6th ERCOFTAC Workshop on Direct and Large-Eddy Simulation VI, DLES 2005, DLES ; Conference date: 12-09-2005 Through 14-09-2005",

}

Kunnen, RPJ, Geurts, BJ & Clercx, HJH 2006, Direct numerical simulation of turbulent rotating Rayleigh-Bénard convection. in E Lamballais, R Friedrich, BJ Geurts & O Métais (eds), Direct and Large-Eddy Simulation VI. ERCOFTAC series, vol. 10, Springer, Berlin, Germany, pp. 233-240, 6th ERCOFTAC Workshop on Direct and Large-Eddy Simulation VI, DLES 2005, Poitiers, France, 12/09/05. https://doi.org/10.1007/978-1-4020-5152-2_27

Direct numerical simulation of turbulent rotating Rayleigh-Bénard convection. / Kunnen, R.P.J.; Geurts, B.J.; Clercx, H.J.H.
Direct and Large-Eddy Simulation VI. ed. / Eric Lamballais; Rainer Friedrich; Bernard J. Geurts; Olivier Métais. Berlin, Germany: Springer, 2006. p. 233-240 (ERCOFTAC series; Vol. 10).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Direct numerical simulation of turbulent rotating Rayleigh-Bénard convection

AU - Kunnen, R.P.J.

AU - Geurts, B.J.

AU - Clercx, H.J.H.

N1 - Conference code: 6

PY - 2006/10

Y1 - 2006/10

N2 - The influence of rotation on turbulent convection is investigated with direct numerical simulation. The classical Rayleigh-Benard con guration is augmented with steady rotation about the vertical axis. Correspondingly, characterisation of the dynamics requires both the dimensionless Rayleigh number $Ra$ and the Taylor number $Ta$. With increasing $Ta$ the root-mean-square (rms) velocity variations are found to decrease, while the rms temperature variations increase. Under rotation a mean vertical temperature gradient develops in the bulk. Compared to the non-rotating case, at constant $Ra = 2.5\,10^6$ the Nusselt number increases up to approximately 5% at relatively low rotation rates, $Ta < Ta_m \approx 10^6$, and decreases strongly when $Ta$ is further increased. A striking change in the boundary layer structure arises when $Ta$ traverses an interval about $Ta_m$, as is expressed by the near-wall vertical-velocity skewness.

AB - The influence of rotation on turbulent convection is investigated with direct numerical simulation. The classical Rayleigh-Benard con guration is augmented with steady rotation about the vertical axis. Correspondingly, characterisation of the dynamics requires both the dimensionless Rayleigh number $Ra$ and the Taylor number $Ta$. With increasing $Ta$ the root-mean-square (rms) velocity variations are found to decrease, while the rms temperature variations increase. Under rotation a mean vertical temperature gradient develops in the bulk. Compared to the non-rotating case, at constant $Ra = 2.5\,10^6$ the Nusselt number increases up to approximately 5% at relatively low rotation rates, $Ta < Ta_m \approx 10^6$, and decreases strongly when $Ta$ is further increased. A striking change in the boundary layer structure arises when $Ta$ traverses an interval about $Ta_m$, as is expressed by the near-wall vertical-velocity skewness.

KW - Nusselt number

KW - Rayleigh number

KW - Direct numerical simulation

KW - Rotation rate

KW - Taylor number

U2 - 10.1007/978-1-4020-5152-2_27

DO - 10.1007/978-1-4020-5152-2_27

M3 - Conference contribution

SN - 978-1-4020-4909-5

T3 - ERCOFTAC series

SP - 233

EP - 240

BT - Direct and Large-Eddy Simulation VI

A2 - Lamballais, Eric

A2 - Friedrich, Rainer

A2 - Geurts, Bernard J.

A2 - Métais, Olivier

PB - Springer

CY - Berlin, Germany

T2 - 6th ERCOFTAC Workshop on Direct and Large-Eddy Simulation VI, DLES 2005

Y2 - 12 September 2005 through 14 September 2005

ER -

Direct numerical simulation of turbulent rotating Rayleigh-Bénard convection

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Keywords

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