Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-23T08:11:10.763Z Has data issue: false hasContentIssue false
  • English
  • Français

An asymptotic model for the hydrodynamics of the thermal bar

Published online by Cambridge University Press:  26 April 2006

D. E. Farrow
D. E. Farrow
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

An asymptotic solution is found for the temperature and circulation structure for an unsteady two-dimensional model of the thermal bar phenomenon. The non-rotating case considered here is relevant to laboratory models of the thermal bar. The main implication of the asymptotic results is that the thermal bar might propagate out from the shore more slowly than predicted by a purely heat-balance-based estimate. The solution is discussed in the context of available experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 289 , 25 April 1995 , pp. 129 - 140
Copyright
© 1995 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

Bennett, J. R. 1971 Thermally driven lake currents during the spring and fall transition periods. In Proc. 14th Conf. Great Lakes Res. pp. 535–544. Intl Assoc. Great Lakes Res.
Cormack, D. E., Leal, L. G. & Imberger, J. 1974 Natural convection in shallow cavity with differentially heated end walls. Part 1. Asymptotic theory. J. Fluid Mech. 65, 209–229.Google Scholar
Elliott, G. H. 1970 A mathematical study of the thermal bar. In Proc. 13th Conf. Great Lakes Res. pp. 545–554. Intl Assoc. Great Lakes, Res.
Elliott, G. H. & Elliott, J. A. 1969 Small-scale model of the ‘thermal bar’. In Proc. 12th Conf. Great Lakes Res. pp. 553–557. Intl Assoc. Great Lakes Res.
Elliott, G. H. & Elliott, J. A. 1970 Laboratory studies on the thermal bar. In Proc. 13th Conf. Great Lakes Res. pp. 413–418. Intl Assoc. Great Lakes Res.
Farrow, D. E. & Patterson, J. C. 1993 On the response of a reservoir sidearm to diurnal heating and cooling. J. Fluid Mech. 246, 143–161.Google Scholar
Farrow, D. E. & Patterson, J. C. 1994 The daytime circulation and temperature structure in a reservoir sidearm. Intl J. Heat Mass Transfer 37, 1957–1968.Google Scholar
Gebhart, B., Jaluria, Y., Mahajan, R. L. & Sammakia, B. 1988 Buoyancy-Induced Flows and Transport. Hemisphere.
Huang, J. C. K. 1972 The thermal bar. Geophys. Fluid Dyn. 3, 1–28.Google Scholar
Hubbard, D. W. & Spain, J. S. 1973 The structure of the early spring thermal bar in Lake Superior. In Proc. 16th Conf. Great Lakes Res. pp. 735–742. Intl Assoc. Great Lakes Res.
Ivey, G. W. & Hamblin, P. F. 1989 Convection near the temperature of maximum density for high Rayleigh number, low aspect ratio, rectangular cavities. Trans. ASME J. Heat Transfer 111, 100–105.Google Scholar
Kreyman, K. D. 1989 Thermal bar based on laboratory experiments. Oceanology 29, 695–697.Google Scholar
Malm, J., Grahn, L., Mironov, D. & Terzhevik, A. 1993 Field investigation of the thermal bar in Lake Ladoga, spring 1991. Nordic Hydrology 24, 339–358.Google Scholar
Zilitinkevich, S. S., Kreiman, K. D. & Terzhevik, A. Yu. 1992 The thermal bar. J. Fluid Mech. 236, 27–42.Google Scholar