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Unsteady natural convection in a cavity with non-uniform absorption of radiation

Published online by Cambridge University Press:  26 April 2006

Michael J. Coates  and
John C. Patterson
Michael J. Coates
Affiliation:
Department of Environmental Engineering and Centre for Water Research, University of Western Australia, Nedlands, Western Australia
John C. Patterson
Affiliation:
Department of Environmental Engineering and Centre for Water Research, University of Western Australia, Nedlands, Western Australia
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Abstract

A study of the unsteady natural convection in a cavity which was heated by the absorption of radiation entering through part of the surface is reported. While a general scaling analysis is quite complex, involving five separate timescales, most naturally occurring problems fall into just one regime, and it is only this regime which is discussed. To test the scaling, a series of laboratory experiments were performed in which the radiation parameters (surface flux and attenuation coefficient) were varied. The method by which these parameters were determined is also discussed. Numerical experiments were used to extend the parameter range, and the results of all these experiments confirmed the validity of the scaling over a range of parameters.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 256 , November 1993 , pp. 133 - 161
Copyright
© 1993 Cambridge University Press

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References

Armfield, S. W. 1991 Finite-difference solutions of the Navier–Stokes equations on staggered and non-staggered grids. Computers Fluids 20, 1–17.Google Scholar
Armfield, S. W. & Patterson, J. C. 1991 Direct simulation of wave interactions in unsteady natural convection in a cavity. Intl J. Heat Mass Transfer 34, 929–940.Google Scholar
Beckermann, C. & Viskanta, R. 1988 Natural convection solid/liquid phase change in porous media. Intl J. Heat Mass Transfer 31, 35–46.Google Scholar
Bowmaker, A. P. 1976 The physico-chemical limnology of the Mwenda River mouth, Lake Kariba. Arch. Hydrobio. 77, 66–108.Google Scholar
Carslaw, H. S. & Jaeger, J. C. 1978 Conduction of Heat in Solids., 2nd edn. Clarendon.
Chelliah, S. & Viskanta, R. 1989 Freezing of water saturated porous media in the presence of natural convection: experiments and analysis. Trans. ASME C: J. Heat Transfer 111, 425–432.Google Scholar
Coates, M. J. 1991 Natural convection due to differential heating from unequal light absorption. PhD thesis, Department of Civil and Environmental Engineering, University of Western Australia.
Coates, M. J. & Ferris, J. 1992 The radiatively driven natural convection beneath a floating plant layer. Environmental Dyn. Ref. ED-581-MC. Centre for Water Research, University of Western Australia.
Coates, M. J. & Patterson, J. 1992 Numerical simulation of the natural convection in a cavity with non-uniform internal sources. Environmental Dyn. Ref. ED-580-MC. Centre for Water Research, University of Western Australia.
Collins, M. J. & Emery, W. J. 1988 A computational method for estimating sea ice motion in sequential Seasat synthetic aperature radar imagery by matched filtering. J. Geophys. Res. 93, 9241–9251.Google Scholar
Fusegi, T. & Farouk, B. 1989 Laminar and turbulent natural convection – radiation interactions in a square enclosure filled with a non-gray gas. Numer. Heat Transfer 15, 303–322.Google Scholar
Hale, G. M. & Querry, M. R. 1973 Optical constants of water in the 200 nm to 200 μm wavelength region. Appl. Optics 12, 555–563.Google Scholar
Imberger, J. & Patterson, J. C. 1990 Physical limnology. Adv. App. Mech. 27, 303–475.Google Scholar
Incropera, F. P., Craig, T. D. & Houf, W. G. 1984 Radiation transfer in absorbing and scattering fluids - II. Comparisons of measurements and predictions. J. Quant. Spect. Radiat. Transfer 31, 139–147.Google Scholar
Islam, M. R. & Nandakumar, K. 1990 Transient convection in saturated porous layers with internal heat sources. Intl J. Heat Mass Transfer 33, 151–161.Google Scholar
Kirk, J. T. O. 1983 Light and Photosynthesis in Aquatic Ecosystems., 1st edn. Cambridge University Press.
Kirk, J. T. O. 1986 Optical limnology – a manifesto. In Limnology in Australia (ed. P. De Deckkar & W. D. Williams), pp. 33–62. Published by Dr W. Junk.
Leese, J. A., Novak, C. S. & Clarke, B. B. 1971 An automated technique for obtaining cloud motion from geosynchronous satellite data using cross correlation. J. Appl. Met. 10, 110–135.Google Scholar
Leonard, B. P. 1979 A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput. Meth. Appl. Mech. Engng 19, 59–98.Google Scholar
Ninnis, R. M., Collins, M. J. & Emery, W. J. 1986 Automated extraction of pack ice motion from advanced very high resolution radiometry imagery. J. Geophys. Res. 91, 10725–10734.Google Scholar
Patterson, J. C. 1983 General derivative approximations for finite difference schemes. Intl J. Numer. Meth. Engng 19, 1235–1241.Google Scholar
Patterson, J. C. 1984 Unsteady natural convection in a cavity with internal heating and cooling. J. Fluid Mech. 140, 135–151.Google Scholar
Patterson, J. C. & Imberger, J. 1980 Unsteady natural convection in a rectangular cavity. J. Fluid Mech. 100, 65–86.Google Scholar
Siegel, R. & Howell, J. R. 1981 Thermal Radiation Heat Transfer., 2nd edn. Hemisphere.
Soufiani, A. & Taine, J. 1987 Application of statistical narrow-band model to coupled radiation and convection at high temperature. Intl J. Heat Mass Transfer 30, 437–447.Google Scholar
Stevens, C. L. & Coates, M. J. 1993 A maximized cross correlation technique for resolving velocity fields in laboratory experiments. IAHR J. Hydraulic Res. (in press.)Google Scholar
Trevisan, O. V. & Bejan, A. 1986 Convection driven by the nonuniform absorption of thermal radiation at the free surface of a stagnant pool. Numer. Heat Transfer 10, 483–506 (referred to herein as TB.)Google Scholar
Viskanta, R. & Toor, J. S. 1978 Absorption of solar radiation in ponds. Solar Energy 21, 17–25.Google Scholar
Webb, B. W. & Viskanta, R. 1987 Radiation-induced buoyancy-driven flow in rectangular enclosures: experiment and analysis. Trans. ASME C: J. Heat Transfer 109, 427–433.Google Scholar
Zohary, T. & Madeira, A. M. P. 1990 Structural, physical and chemical characteristics of Microcystis aeruginosa hyperscums from a hypertrophic lake. Fresh Water Biol. 23, 339–352.Google Scholar