TY - JOUR
T1 - Direct numerical simulation of Nusselt number scaling in rotating Rayleigh-Bénard convection
AU - Kooij, G.L.
AU - Botchev, M.A.
AU - Geurts, B.J.
N1 - Funding Information:
This project is supported financially by NWO , the Netherlands Organisation for Scientific Research, through FOM, Foundation for Fundamental Research on Matter, as part of the “Ultimate Turbulence” program. The simulations were made possible through Grant SH-061 of the Computational Science Board of NWO, and executed on the supercomputers of SURFsara in Amsterdam. The work of the second author is supported in part by the Institute of Numerical Mathematics , Russian Academy of Sciences , Moscow through the Russian Science Foundation Grant 14-11-00659 .
Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2015/10/1
Y1 - 2015/10/1
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 106 to 109, and Rossby numbers Ro from 0.09 to ∞. 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 106 to 109, and Rossby numbers Ro from 0.09 to ∞. 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 - Direct numerical simulation
KW - Heat transfer
KW - Rayleigh-Bénard convection
KW - Rotation
KW - Turbulence
KW - 2023 OA procedure
UR - http://www.scopus.com/inward/record.url?scp=84945477222&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatfluidflow.2015.05.016
DO - 10.1016/j.ijheatfluidflow.2015.05.016
M3 - Article
SN - 0142-727X
VL - 55
SP - 26
EP - 33
JO - International journal of heat and fluid flow
JF - International journal of heat and fluid flow
ER -