Heat Transport Scaling in Turbulent Rayleigh-Bénard Convection: Effects of Rotation and Prandtl Number

Liu, Yuanming; Ecke, Robert E.

doi:10.1103/physrevlett.79.2257

Cited by 120 publications

(142 citation statements)

References 19 publications

(42 reference statements)

Supporting

Mentioning

118

Contrasting

Unclassified

Order By: Relevance

“…At lower Rayleigh number experiments (4 Pr 10) the best-fitting trend is Nu = (0.162 ± 0.006)Ra 0.284±0.002 , in agreement with the Nu ∼ Ra 2/7 law theorized in Shraiman & Siggia (1990) and observed in other laboratory experiments (e.g. Wu & Libchaber 1992;Chillá et al 1993;Liu & Ecke 1997;Glazier et al 1999).…”

Section: Rayleigh-bénard Convectionsupporting

confidence: 72%

Laboratory-numerical models of rapidly rotating convection in planetary cores

Cheng

Stellmach

Ribeiro

et al. 2015

Geophysical Journal International

110

203

View full text Add to dashboard Cite

Section: Rayleigh-bénard Convectionsupporting

confidence: 72%

Laboratory-numerical models of rapidly rotating convection in planetary cores

Cheng

Stellmach

Ribeiro

et al. 2015

Geophysical Journal International

110

203

View full text Add to dashboard Cite

“…A main feature of rotating Rayleigh-Bénard convection with r > 1 is the occurrence of a maximum in the Nusselt number Nu at a specific rotation rate (Liu and Ecke, 1997;Stevens et al, 2010). In fact, at Rossby number % 2:45 and Prandtl number r ¼ 6:4 such a maximum was found at the selected Rayleigh number-this maximum is about 15% larger than the Nusselt number in the nonrotating case (Kunnen, , 2006Stevens et al, 2010).…”

Section: Governing Equations and Numerical Methodsmentioning

confidence: 93%

Intensified heat transfer in modulated rotating Rayleigh–Bénard convection

Geurts

Kunnen

2014

International Journal of Heat and Fluid Flow

View full text Add to dashboard Cite

“…An important effect of rotation is the development of columnar structures in the flow, with characteristic time-and length-scales depending on the rotation rate [5][6][7]. Depending on the type of turbulence, rotation can have additional effects, such as a transition to enhanced heat flux in rotating turbulent convection [8][9][10][11][12]. We therefore investigate two different turbulent flow configurations in this research: rotating (isothermal) turbulence driven by electromagnetic forcing and rotating turbulent Rayleigh-Bénard convection (RBC).…”

Section: Introductionmentioning

confidence: 99%

Geometry of tracer trajectories in rotating turbulent flows

et al. 2017

View full text Add to dashboard Cite

The geometry of passive tracer trajectories is studied in two different types of rotating turbulent flows; rotating Rayleigh-Bénard convection (RBC; experiments and direct numerical simulations) and rotating electromagnetically forced turbulence (EFT; experiments). This geometry is fully described by the curvature and torsion of trajectories and from these geometrical quantities we can subtract information on the typical flow structures at different rotation rates. Previous studies, focusing on non-rotating homogeneous isotropic turbulence (HIT), show that the probability density functions (PDFs) of curvature and torsion reveal pronounced power laws. However, the set-ups studied here involve inhomogeneous turbulence and in RBC the flow near the horizontal plates is definitely anisotropic. We want to investigate how the typical shapes of the curvature and torsion PDFs, including the pronounced scaling laws, are influenced by this level of anisotropy and inhomogeneity and how this effect changes with rotation. A first effect of rotation is observed as a shift of the curvature and torsion PDFs towards higher values in the case of RBC and towards lower values in the case of EFT. This shift is related to the length scale of typical vortical structures that decreases with rotation in RBC, but increases with rotation in EFT, explaining the opposite shifts of the curvature (and torsion) PDFs. A second remarkable observation is that in RBC the HIT scaling laws are always recovered, as long as the boundary layer (BL) is excluded. This suggests that these scaling laws are very robust and hold as long as we measure in the turbulent bulk. In the BL of the RBC cell, however, the scaling deviates from the HIT prediction for lower rotation rates. This scaling behavior is found to be consistent with the coupling between the boundary layer dynamics and the bulk flow, that changes under rotation. In particular, it is found that the active coupling of the Ekman-type boundary layer with the bulk flow suppresses anisotropy in the BL region for increasing rotation rates.

show abstract

Heat Transport Scaling in Turbulent Rayleigh-Bénard Convection: Effects of Rotation and Prandtl Number

Cited by 120 publications

References 19 publications

Laboratory-numerical models of rapidly rotating convection in planetary cores

Laboratory-numerical models of rapidly rotating convection in planetary cores

Intensified heat transfer in modulated rotating Rayleigh–Bénard convection

Geometry of tracer trajectories in rotating turbulent flows

Contact Info

Product

Resources

About