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  • Journal of Fluid Mechanics, Volume 599
  • March 2008, pp. 383-404

Analysis of sheet-like thermal plumes in turbulent Rayleigh–Bénard convection

  • OLGA SHISHKINA (a1) and CLAUS WAGNER (a1)
  • DOI: http://dx.doi.org/10.1017/S002211200800013X
  • Published online: 25 March 2008
Abstract

Sheet-like thermal plumes are investigated using time-dependent and three-dimensional flow fields obtained from direct numerical simulations and well-resolved large-eddy simulations of turbulent Rayleigh–Bénard convection in water (Prandtl number Pr=5.4) in a cylindrical container with the aspect ratio Γ=1 and for the Rayleigh numbers Ra=2×109 and 2×1010.

To analyse quantitatively the physical properties of the sheet-like thermal plumes and the turbulent background and to obtain the temperature threshold which separates these two different flow regions, the temperature dependences of the conditionally averaged local heat flux, thermal dissipation rate and selected components of the velocity and vorticity fields are studied. It is shown that the sheet-like plumes are characterized by high values of the local heat flux and relatively large absolute values of the vertical components of the vorticity and velocity fields. The borders of these plumes are indicated by large values of the thermal dissipation rate and large absolute values of the horizontal vorticity components. In contrast to the sheet-like thermal plumes, the turbulent background is characterized by low values of the thermal dissipation rate, local heat flux and vertical vorticity component. The highest values of the local heat flux and the highest absolute values of the vertical vorticity component are found in the regions where the sheet-like plumes strike against each other. Fluid swirling at these places forms the stems of the mushroom-like thermal plumes which develop in the bulk of the Rayleigh–Bénard cell.

Further, formulae to calculate the curvature, thickness and length of the plumes are introduced. Geometrical properties such as plume area, diameter, curvature, thickness and aspect ratio together with the physical properties of the sheet-like plumes such as temperature, heat flux, thermal dissipation rate, velocity and vorticity are investigated.

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E. S. C. Ching , H. Guo , X.-D. Shang P. Tong & K.-Q. Xia 2004 Extraction of plumes in turbulent thermal convection. Phys. Rev. Lett. 93, 124501.

T. Cortese & S. Balachandar 1993 Vortical nature of thermal plumes in turbulent convection. Phys. Fluids 5 (12), 32263232.

D. Funfschilling & G. Ahlers 2004 Plume motion and large-scale circulation in a cylindrical Rayleigh–Bénard cell. Phys. Rev. Lett. 92, 194502.


D. D. Gray & A. Giorgini 1976 The validity of the Boussinesq approximation for liquids and gases. Intl J. Heat Mass Transer 19, 545551.


S. Grossmann & D. Lohse 2004 Fluctuations in turbulent Rayleigh–Bénard convection: the role of plumes. Phys. Fluids 16, 44624472

G. Grötzbach 1983 Spatial resolution requirements for direct numerical simulation of Rayleigh–Bénard convection. J. Comput. Phys. 49, 241264.



L. P. Kadanoff 2001 Turbulent heat flow: structures and scaling. Phys. Today 54, 3439.




O. Shishkina & C. Wagner 2007 aA fourth order finite volume scheme for turbulent flow simulations in cylindrical domains. Computers Fluids 36, 484497.

O. Shishkina & C. Wagner 2007 bLocal heat fluxes in turbulent Rayleigh–Bénard convection. Phys. Fluids 19, 085107.

O. Shishkina & C. Wagner 2007 cBoundary and interior layers in turbulent thermal convection in cylindrical containers. Intl J. Comput. Sci. Maths 1 360373.

E. D. Siggia 1994 High Rayleigh number convection. Annu. Rev. Fluid Mech. 26, 137168.




J.-P. Zahn 2000 Plumes in stellar convection zones. Ann. NY Acad. Sci. 898, 90104.

S.-Q. Zhou & K.-Q. Xia 2002 Plume statistics in thermal turbulence: mixing of an active scalar. Phys. Rev. Lett. 89, 184502.

Q. Zhou , C. Sun & K.-Q. Xia 2007 Morphological evolution of thermal plumes in turbulent Rayleigh–Bénard convection. Phys. Rev. Lett. 98, 074501.

G. Zocchi , E. Moses & A. Libchaber 1990 Coherent structures in turbulent convection, an experimental study. Physica A 166, 387407.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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