Direct numerical simulation of Nusselt number scaling in rotating Rayleigh–Bénard convection

Gijs Levi Kooij; Mikhail A. Bochev; Bernardus J. Geurts

doi:10.1016/j.ijheatfluidflow.2015.05.016

Direct numerical simulation of Nusselt number scaling in rotating Rayleigh–Bénard convection

Gijs Levi Kooij, Mikhail A. Bochev, Bernardus J. Geurts

Research output: Contribution to journal › Article › Academic › peer-review

6 Citations (Scopus)

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Abstract

We report results from Direct Numerical Simulation (DNS) of rotating Rayleigh–Bénard convection, regarding the scaling of heat transfer with the Rayleigh number for rotating systems at a fixed rate of rotation. The Prandtl number, Pr=6.4, is kept constant. We perform simulations, using a spectral element method, for Rayleigh numbers Ra from 10^6 to 10^9, and Rossby numbers Ro from 0.09 to infinity. We find that the Nusselt number Nu scales approximately with a power 2/7 of Ra at sufficiently high Ra for all Ro. The value of Ra beyond which this Nusselt scaling is well established increases with decreasing Ro. Depending on the rotation rate, the Nusselt number can increase up to 18% with respect to the non-rotating case.

Original language	Undefined
Pages (from-to)	26-33
Number of pages	8
Journal	International journal of heat and fluid flow
Volume	55
DOIs	https://doi.org/10.1016/j.ijheatfluidflow.2015.05.016
Publication status	Published - Oct 2015

Keywords

rotating convection
EWI-26100
Raleigh-Bénard convection
IR-98235
Heat transfer
Turbulence
METIS-314915
Direct Numerical Simulation

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Kooij, G. L., Bochev, M. A., & Geurts, B. J. (2015). Direct numerical simulation of Nusselt number scaling in rotating Rayleigh–Bénard convection. International journal of heat and fluid flow, 55, 26-33. https://doi.org/10.1016/j.ijheatfluidflow.2015.05.016

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title = "Direct numerical simulation of Nusselt number scaling in rotating Rayleigh–B{\'e}nard convection",

abstract = "We report results from Direct Numerical Simulation (DNS) of rotating Rayleigh–B{\'e}nard convection, regarding the scaling of heat transfer with the Rayleigh number for rotating systems at a fixed rate of rotation. The Prandtl number, Pr=6.4, is kept constant. We perform simulations, using a spectral element method, for Rayleigh numbers Ra from 10^6 to 10^9, and Rossby numbers Ro from 0.09 to infinity. We find that the Nusselt number Nu scales approximately with a power 2/7 of Ra at sufficiently high Ra for all Ro. The value of Ra beyond which this Nusselt scaling is well established increases with decreasing Ro. Depending on the rotation rate, the Nusselt number can increase up to 18{\%} with respect to the non-rotating case.",

keywords = "rotating convection, EWI-26100, Raleigh-B{\'e}nard convection, IR-98235, Heat transfer, Turbulence, METIS-314915, Direct Numerical Simulation",

author = "Kooij, {Gijs Levi} and Bochev, {Mikhail A.} and Geurts, {Bernardus J.}",

note = "eemcs-eprint-26100 ; http://eprints.ewi.utwente.nl/26100",

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T1 - Direct numerical simulation of Nusselt number scaling in rotating Rayleigh–Bénard convection

AU - Kooij, Gijs Levi

AU - Bochev, Mikhail A.

AU - Geurts, Bernardus J.

N1 - eemcs-eprint-26100 ; http://eprints.ewi.utwente.nl/26100

PY - 2015/10

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N2 - We report results from Direct Numerical Simulation (DNS) of rotating Rayleigh–Bénard convection, regarding the scaling of heat transfer with the Rayleigh number for rotating systems at a fixed rate of rotation. The Prandtl number, Pr=6.4, is kept constant. We perform simulations, using a spectral element method, for Rayleigh numbers Ra from 10^6 to 10^9, and Rossby numbers Ro from 0.09 to infinity. We find that the Nusselt number Nu scales approximately with a power 2/7 of Ra at sufficiently high Ra for all Ro. The value of Ra beyond which this Nusselt scaling is well established increases with decreasing Ro. Depending on the rotation rate, the Nusselt number can increase up to 18% with respect to the non-rotating case.

AB - We report results from Direct Numerical Simulation (DNS) of rotating Rayleigh–Bénard convection, regarding the scaling of heat transfer with the Rayleigh number for rotating systems at a fixed rate of rotation. The Prandtl number, Pr=6.4, is kept constant. We perform simulations, using a spectral element method, for Rayleigh numbers Ra from 10^6 to 10^9, and Rossby numbers Ro from 0.09 to infinity. We find that the Nusselt number Nu scales approximately with a power 2/7 of Ra at sufficiently high Ra for all Ro. The value of Ra beyond which this Nusselt scaling is well established increases with decreasing Ro. Depending on the rotation rate, the Nusselt number can increase up to 18% with respect to the non-rotating case.

KW - rotating convection

KW - EWI-26100

KW - Raleigh-Bénard convection

KW - IR-98235

KW - Heat transfer

KW - Turbulence

KW - METIS-314915

KW - Direct Numerical Simulation

U2 - 10.1016/j.ijheatfluidflow.2015.05.016

DO - 10.1016/j.ijheatfluidflow.2015.05.016

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VL - 55

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EP - 33

JO - International journal of heat and fluid flow

JF - International journal of heat and fluid flow

SN - 0142-727X

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