Abstract
We have studied the scaling properties of thermal turbulence in a low Prandtl number, Pr, fluid using liquid Hg (Pr = 0.024). The length scale of thermal and viscous boundary layers are analyzed from time series of movable thermistors near the boundary. It revealed that the thermal and viscous layer had crossed over the observed range of Rayleigh numbers (106 < Ra < 108). The frequency spectrum of the temperature fluctuations and the scaling of the cutoff frequency differed from those of He. The cascade range was smaller than expected. Characters of high Rayleigh number flow of a low Prandtl number fluid is discussed.
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References
F. Heslot, B. Castaing and A. Libchaber, Phys. Rev. A 36, 5870 (1987).
B. Castaing et al., J. Fluid Mech. 204, 1 (1989).
M. Sano, X. Z. Wu and A. Libchaber, Phys. Rev. A, 40, 6421 (1989)
X. Z. Wu and A. Libchaber, Phys. Rev. A, 45, 842 (1992).
X. Z. Wu, L. P. Kadanoff, A. Libchaber and M. Sano, Phys. Rev. Lett. 64, 2140 (1990).
T. H. Solomon and J. P. Gollub, Phys. Rev. Lett. 64, 2382 (1990)
T. H. Solomon and J. P. Gollub, Phys. Rev. A 43, 6683(1991).
W. V. R. Malkus, Proc. R. Soc. London A 225, 185, (1954)
L. N. Howard, J. Fluid Mech. 17, 405, (1963).
B.I. Shraiman and E. D. Siggia, Phys. Rev. A 42, 3650 (1990).
R. Kraichnan, Phys. Fluids, 5, 1374, (1962).
T. Takeshita, T. Segawa, J. A. Glazier and M. Sano, Phys. Rev. Lett., 76, 1465 (1996).
A. Belmonte, A. Tilgner and A. Libchaber, Phys. Rev. Lett. 47, 4067 (1993)
A. Belmonte, A. Tilgner and A. Libchaber, Phys. Rev. E 50, 269 (1994).
R. Bolgiano Jr., J. Geophys. Res. 64, 2226, (1962)
R. Bolgiano Jr., J. Geophys. Res. 64, 3023, (1962).
A. M. Obukhov, Dokl. Akad. Nauk. SSSR, 121, 1246, (1959)
A. M. Obukhov, Sov. Phys. Dokl. 3, 61, (1959).
A. Brandenburg, Phys. Rev. Lett., 69, 605, (1992)
V. Yakhot, Phys. Rev. Lett., 69, 769, (1992)
S. Toh and E. Suzuki, Phys. Rev. Lett. 73, 1501, (1994).
X. Z. Wu, Ph. D Thesis, the University of Chicago (1991).
A. Tilgner, A. Belmonte, and A. Libchaber, Phys. Rev. E 47, 2153, (1993).
S. Globe and D. Dropkin, J. Heat Transfer 24, (1959).
S. Cioni, S. Ciliberto and J. Sommeria, in Dynamics of Atmospheres and Oceans special issue (October, 1995).
R. Benzi, R. Tripiccione, F. Massaioli, S. Succi and S. Ciliberto, Europhys. Lett. 25, 341, (1994)
S. Cioni, S. Ciliberto and J. Sommeria, to appear in Europhys. Lett. (1995).
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Segawa, T., Sano, M., Naert, A., Glazier, J.A. (1998). High Rayleigh Number Turbulence of a Low Prandtl Number Fluid. In: Donnelly, R.J., Sreenivasan, K.R. (eds) Flow at Ultra-High Reynolds and Rayleigh Numbers. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2230-9_16
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DOI: https://doi.org/10.1007/978-1-4612-2230-9_16
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