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Turbulent convection in water over ice

Published online by Cambridge University Press:  29 March 2006

R. J. Adrian
R. J. Adrian
Affiliation:
Department of Physics, University of Cambridge Present address: Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801.
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Abstract

Measurements have been made of the vertical velocity and simultaneous temperature fluctuation at fixed points in turbulent, statistically steady convection in water over an ice surface. Convection was confined to a horizontal layer of constant depth that lay under a stably stratified layer. Measurements of vertical velocities less than 1 mm/s were accomplished using a laser-Doppler velocimeter with a frequency-shifted reference beam. Vertical profiles of all relevant one-point moments, including joint temperature-velocity moments, up to third order were obtained. In the stable layer internal gravity waves were observed, and certain aspects of their behaviour were found to agree with existing theoretical analyses. Typical r.m.s. values of the temperature and velocity fluctuations were nearly equal to the appropriate ‘convection’ scales in the convection layer while in the conduction layer immediately above the ice surface they were more nearly equal to the ‘molecular’ scales. All of the observations were consistent with the existence of buoyant plume-like masses which dominated the structure of the flow. An analysis of the data using a conditional averaging technique to determine the mean properties of these masses showed that below the stable layer they accounted for over 80% of the mean-square fluctuations in temperature and velocity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 69 , Issue 4 , 24 June 1975 , pp. 753 - 781
Copyright
© 1975 Cambridge University Press

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References

Adrian, R. J. 1972 Ph.D. thesis, Cambridge University.
Adrian, R. J. 1974 Proc. 3rd Biennial Symp. on Turbulence in Liquids, Rolla, Missouri. To appear.
Ball, F. K. 1960 Quart. J. Roy. Met. Soc. 86, 483.
Chu, T. Y. & Goldstein, R. J. 1973 J. Fluid Mech. 60, 141.
Chung, P. M. 1970 Phys. Fluids, 13, 1153.
Corino, E. R. & Brodkey, R. S. 1969 J. Fluid Mech. 37, 1.
Deardorff, J. W. 1969 J. Atmos. Sci. 27, 1211.
Deardorff, J. W. & Willis, G. E. 1967 J. Fluid Mech. 28, 675.
Deardorff, J. W., Willis, G. E. & Lilly, D. K. 1969 J. Fluid Mech. 35, 7.
Foster, T. D. 1971 Geophys. Fluid Dyn. 2, 201.
George, W. K. & Lumley, J. L. 1973 J. Fluid Mech. 60, 321.
Herring, J. R. 1963 J. Atmos. Sci. 20, 325.
Howard, L. N. 1966 Proc. 11th Int. Cong. Appl. Mech. (ed. H. Görtler), p. 1109. Springer.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 J. Fluid Mech. 30, 741.
Kraichnan, R. H. 1962 Phys. Fluids, 5, 1374.
Lamb, H. 1932 Hydrodynamics. Dover.
Leighton, R. B. 1963 Annual Review of Astronomy and Astrophysics, p. 19. Palo Alto: Annual Reviews, Inc.
Lilly, D. K. 1968 Quart. J. Roy. Met. Soc. 94, 292.
Lumley, J. L. & KHAJEH-NOURI, B. 1974 Adv. in Geophys. A, 18, 169.
Lundgren, T. S. 1969 Phys. Fluids, 12, 485.
Lundgren, T. S. 1971 Phys. Fluids, 14, 225.
Moore, D. R. & Weiss, N. O. 1973 J. Fluid Mech. 61, 553.
Musman, S. 1968 J. Fluid Mech. 31, 342.
Myrup, L., Gross, D., Hoo, L. S. & Goddard, W. 1970 Weather, 25, 150.
Phillips, O. M. 1966 The Dynamics of the Upper Ocean. Cambridge University Press.
Priestley, C. H. B. 1959 Turbulent Transfer in the Lower Atmosphere. University of Chicago Press.
Sun, Z.-S., Tien, C. & Yen, Y.-C. 1969 A.I.Ch.E. J. 15, 910.
Tankin, R. S. & Farhadieh, R. 1971 Int. J. Heat Mass Transfer, 14, 953.
Thomas, D. B. & Townsend, A. A. 1957 J. Fluid Mech. 2, 473.
Tien, C. 1968 A.I.Ch.E. J. 14, 652.
Townsend, A. A. 1959 J. Fluid Mech. 5, 209.
Townsend, A. A. 1964 Quart. J. Roy. Met. Soc. 90, 248.
Townsend, A. A. 1966 J. Fluid Mech. 24, 307.
Veronis, G. 1963 Astrophys. J. 137, 641.
Willmarth, W. W. & Lu, S. S. 1972 J. Fluid Mech. 55, 65.
Yen, Y.-C. 1968 Phys. Fluids, 11, 1263.