Velocity oscillations in turbulent RayleighBénard convection
Phys. Fluids 16, 412 (2004); doi:10.1063/1.1637350
Published 7 January 2004
You are not logged in to this journal. Log in
A systematic study of velocity oscillations in turbulent thermal convection is carried out in small aspect-ratio cells filled with water. Local velocity fluctuations and temperature-velocity cross-correlation functions are measured over varying Rayleigh numbers and spatial positions across the entire convection cell. These structural measurements reveal how the thermal plumes interact with the bulk fluid in a closed cell and provide an interesting physical picture for the dynamics of the temperature and velocity oscillations in turbulent convection. ©2004 American Institute of Physics.
| History: | Received 24 February 2003; accepted 5 November 2003; published 7 January 2004 |
| Permalink: |
http://link.aip.org/link/?PHFLE6/16/412/1 |
KEYWORDS and PACS
Rayleigh-Benard instability,
convection,
turbulence,
flow visualisation,
temperature distribution,
velocity measurement
- 47.27.Te
Convection and heat transfer in fluid dynamics - YEAR: 2004
RELATED DATABASES
PUBLICATION DATA
1070-6631 (print)
1089-7666 (online)
REFERENCES (33)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- B. Castaing, G. Gunaratne, F. Heslot, L. Kadanoff, A. Libchaber, S. Thomae, X.-Z. Wu, S. Zaleski, and G. Zanetti, "Scaling of hard thermal turbulence in RayleighBénard convection,"
J. Fluid Mech. 204, 1 (1989) . - E. Siggia, "High Rayleigh number convection,"
Annu. Rev. Fluid Mech. 26, 137 (1994) . - S. Grossmann and D. Lohse, "Scaling in thermal convection: A unifying theory,"
J. Fluid Mech. 407, 27 (2000) . - L. P. Kadanoff, "Turbulent heat flow: Structures and scaling," Phys. Today 54 (8), 34 (2001).
- M. Sano, X.-Z. Wu, and A. Libchaber, "Turbulence in helium-gas free convection," Phys. Rev. A 40, 6421 (1989).
- S. Ashkenazi and V. Steinberg, "High Rayleigh number turbulent convection in a gas near the gas-liquid critical point," Phys. Rev. Lett. 83, 3641 (1999);
- X.-L. Qiu, S. H. Yao, and P. Tong, "Large-scale coherent rotation and oscillation in turbulent thermal convection," Phys. Rev. E 61, R6075 (2000).
- X.-D. Shang and K.-Q. Xia, "Scaling of the velocity power spectra in turbulent thermal convection," Phys. Rev. E 64, 065301(R) (2001).
- T. Takeshita, T. Segawa, J. G. Glazier, and M. Sano, "Thermal turbulence in mercury," Phys. Rev. Lett. 76, 1465 (1996).
- S. Cioni, S. Ciliberto, and J. Sommeria, "Strongly turbulent RayleighBénard convection in mercury: Comparison with results at moderate Prandtl number,"
J. Fluid Mech. 335, 111 (1997) . - S. Ciliberto, S. Cioni, and C. Laroche, "Large-scale flow properties of turbulent thermal convection," Phys. Rev. E 54, R5901 (1996).
- E. Villermaux, "Memory-induced low frequency oscillations in closed convection boxes," Phys. Rev. Lett. 75, 4618 (1995).
- X.-L. Qiu and P. Tong, "Large-scale velocity structures in turbulent thermal convection," Phys. Rev. E 64, 036304 (2001).
- X.-L. Qiu and P. Tong, "Temperature oscillations in turbulent RayleighBénard convection," Phys. Rev. E 66, 026308 (2002).
- X. Chavanne, F. Chilla, B. Castaing, B. Hebral, B. Chabaud, and J. Chaussy, "Observation of the ultimate regime in RayleighBénard convection," Phys. Rev. Lett. 79, 3648 (1997);
- J. J. Niemela, L. Skrbek, K. R. Sreenivasan, and R. J. Donnelly, "Turbulent convection at very high Rayleigh numbers,"
Nature (London) 404, 837 (2000) . - X. Xu, K. M. Bajaj, and G. Ahlers, "Heat transport in turbulent RayleighBénard convection," Phys. Rev. Lett. 84, 4357 (2000).
- G. Ahlers and X. Xu, "Prandtl-number dependence of heat transport in turbulent RayleighBénard convection," Phys. Rev. Lett. 86, 3320 (2001).
- K.-Q. Xia, S. Lam, and S.-Q. Zhou, "Heat-flux measurement in high-Prandtl-number turbulent RayleighBénard convection," Phys. Rev. Lett. 88, 064501 (2002).
- X.-L. Qiu and P. Tong, "Onset of coherent oscillations in turbulent RayleighBénard convection," Phys. Rev. Lett. 87, 094501 (2001).
- X.-Z. Wu and A. Libchaber, "Non-Boussinesq effects in free thermal convection," Phys. Rev. A 43, 2833 (1991).
- J. Zhang, S. Childress, and A. Libchaber, "Non-Boussinesq effect: Thermal convection with broken symmetry," Phys. Fluids 9, 1034 (1997).
- L. E. Drain, The Laser Doppler Technique (Wiley, New York, 1980).
- S.-L. Lui and K.-Q. Xia, "Spatial structure of the thermal boundary layer in turbulent convection," Phys. Rev. E 57, 5494 (1998).
- J. J. Niemela, L. Skrbek, K. R. Sreenivasan, and R. J. Donnelly, "The wind in confined thermal convection,"
J. Fluid Mech. 449, 169 (2001) . - K. R. Sreenivasan, A. Bershadskii, and J. J. Niemela, "Mean wind and its reversal in thermal convection," Phys. Rev. E 65, 056306 (2002).
- X.-Z. Wu and A. Libchaber, "Scaling relations in thermal turbulence: The aspect-ratio dependence," Phys. Rev. A 45, 842 (1992).
- R. Verzicco and R. Camussi, "Numerical experiments on strongly turbulent thermal convection in a slender cylindrical cell,"
J. Fluid Mech. 477, 19 (2003) . - P.-E. Roche, B. Castaing, B. Chabaud, and B. Hebral, "Prandtl and Rayleigh number dependence in RayleighBénard convection,"
Europhys. Lett. 58, 693 (2002) . - J. S. Turner, "Turbulent entrainment: The development of the entrainment assumption and its application to geophysical flows,"
J. Fluid Mech. 173, 431 (1986) . - E. Moses, G. Zocchi, and A. Libchaber, "An experimental study of laminar plumes,"
J. Fluid Mech. 251, 581 (1993) . - Z. A. Daya and R. E. Ecke, "Does turbulent convection feel the shape of the container?" Phys. Rev. Lett. 87, 184501 (2001).
- H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, 1972).







