Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-07-04T06:24:01.462Z Has data issue: false hasContentIssue false
  • English
  • Français

Long-wave decay due to convective turbulence

Published online by Cambridge University Press:  29 March 2006

Theodore Green  and
See Whan Kang
Theodore Green
Affiliation:
Marine Studies Center, The University of Wisconsin, Madison
See Whan Kang
Affiliation:
Marine Studies Center, The University of Wisconsin, Madison
Get access Rights & Permissions [Opens in a new window]

Abstract

Long waves are generated in a laboratory-size rectangular basin, which is heated uniformly from below. Their subsequent decay is measured, and the decay component due to the action of convective turbulence isolated, using a combination of existing theories and interpretation techniques. An expression is proposed for the turbulent decay decrement as a function of the bulk Rayleigh number. The results agree as well as can be expected with a simple model based on a Reynolds-stress decay estimate obtained by superposing convective thermals on the oscillating flow associated with the long wave.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 73 , Issue 3 , 10 February 1976 , pp. 427 - 444
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Benjamin, T. B. 1959 Shearing flow over a wavy boundary J. Fluid Mech. 6, 161.Google Scholar
Case, K. M. & Parkinson, W. C. 1957 Damping of surface waves in an incompressible liquid J. Fluid Mech. 2, 172.Google Scholar
Collins, J. I. 1963 Inception of turbulence at the bed under periodic gravity waves J. Geophys. Res. 68, 6007.Google Scholar
Deardorff, J. W. & Willis, G. E. 1967 Investigation of turbulent thermal convection between horizontal plates J. Fluid Mech. 28, 675.Google Scholar
Green, T., Medwin, H. & Paquin, J. E. 1972 Measurements of surface wave decay due to underwater turbulence Nature, 237, 115.Google Scholar
Howard, L. N. 1966 Convection at high Rayleigh number. Proc. 11th Cong. Appl. Mech. (ed. H. Görtler). Springer.
Kajiura, K. 1968 A model of the bottom boundary layer in water waves Bull Earthquake Res. Inst. 46, 75.Google Scholar
Keulegan, G. H. 1959 Energy dissipation in standing waves in rectangular basins J. Fluid Mech. 6, 33.Google Scholar
Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Mcgoldrick, L. F. 1969 A system for the generation and measurement of capillarygravity waves. Department of Geophysical Science University of Chicago, Tech. Rep. 3.Google Scholar
Malkus, W. V. R. 1954 Discrete transitions in turbulent convection. Proc. Roy. Soc. A 225, 185.Google Scholar
Miles, J. W. 1967 Surface wave damping in closed basins. Proc. Roy. Soc. A 297, 459.Google Scholar
Milgram, J. H. 1965 Compliant water-wave absorbers. Massachusetts Institute of Technology, Department of Naval Architecture and Marine Engineering, Rep. 65–810.Google Scholar
Phillips, O. M. 1959 The scattering of gravity waves by turbulence J. Fluid Mech. 5, 1177.Google Scholar
Rossby, H. T. 1969 A study of Bénard convection with and without rotation J. Fluid Mech. 36, 309.Google Scholar
Sparrow, E. M., Husar, R. B. & Goldstein, R. M. 1970 Observations and other characteristics of thermals J. Fluid Mech. 41, 793.Google Scholar
Townsend, A. A. 1959 Temperature fluctuations over a heated horizontal surface J. Fluid Mech. 5, 209.Google Scholar
Vincent, G. E. 1957 Contribution to the study of sediment transport on a horizontal bed due to wave action. Proc. 6th Conf. Coastal Engineering, Florida, p. 326.Google Scholar