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Forcing of convection due to time-dependent heating near threshold

Published online by Cambridge University Press:  20 April 2006

M. C. Cross ,
P. C. Hohenberg  and
M. Lücke
M. C. Cross
Affiliation:
Bell Laboratories, Murray Hill, NJ 07974
P. C. Hohenberg
Affiliation:
Institute for Theoretical Physics, UCSB, Santa Barbara, CA 93106, and Bell Laboratories, Murray Hill, NJ 07974
M. Lücke
Affiliation:
Institute for Theoretical Physics, UCSB, Santa Barbara. CA 93106, and IFF, KFA Jülich, D5170 Jülich, W. Germany
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Abstract

The forcing of convection due to time-dependent heating is calculated in terms of an inhomogeneous boundary condition on the complex envelope function at the sidewalls of the container. Conditions for eliminating the forcing are derived. Application is made to recent experiments on the timescale for the onset of convection.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 136 , November 1983 , pp. 269 - 276
Copyright
© 1983 Cambridge University Press

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References

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