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Heat transport by parallel-roll convection in a rectangular container

Published online by Cambridge University Press:  21 April 2006

R. W. Walden ,
Paul Kolodner ,
A. Passner  and
C. M. Surko
R. W. Walden
Affiliation:
AT&T Bell Laboratories, Murray Hill, NJ 07974, USA
Paul Kolodner
Affiliation:
AT&T Bell Laboratories, Murray Hill, NJ 07974, USA
A. Passner
Affiliation:
AT&T Bell Laboratories, Murray Hill, NJ 07974, USA
C. M. Surko
Affiliation:
AT&T Bell Laboratories, Murray Hill, NJ 07974, USA
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Abstract

Heat-transport measurements are reported for thermal convection in a rectangular box of aspect’ ratio 10 x 5. Results are presented for Rayleigh numbers up to 35Rc, Prandtl numbers between 2 and 20, and wavenumbers between 0.6 and 1.0kc, where Rc and kc are the critical Rayleigh number and wavenumber for the onset of convection in a layer of infinite lateral extent. The measurements are in good agreement with a phenomenological model which combines the calculations of Nusselt number, as a function of Rayleigh number and roll wavenumber for two-dimensional convection in an infinite layer, with a nonlinear amplitude-equation model developed to account for sidewell attenuation. The appearance of bimodal convection increases the heat transport above that expected for simple parallel-roll convection.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 185 , December 1987 , pp. 205 - 234
Copyright
© 1987 Cambridge University Press

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