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Finite amplitude convection with changing mean temperature. Part 2. An experimental test of the theory

Published online by Cambridge University Press:  28 March 2006

Ruby Krishnamurti
Ruby Krishnamurti
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California
Present address: Institute of Geophysical Fluid Dynamics, Florida State University, Tallahassee, Florida 32306.
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Abstract

It has been found in part 1 (Krishnamurti 1968) that when the mean temperature of a fluid layer is changing at a constant rate η, hexagonal flows are stable in a range of Rayleigh numbers near the critical. The direction of flow depends upon the sign of η. The static state is unstable to finite amplitude disturbances at Rayleigh numbers below the critical point predicted by linear theory.

The validity of this theory is tested in an experiment in which the heat flux is measured as a function of η and Rayleigh number. The horizontal plan form is determined from the side by continuously exposing a photographic film moving in a vertical direction as tracers in different regions of the fluid are illuminated. Finite amplitude instability and hexagonal cells are indeed observed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 3 , 2 September 1968 , pp. 457 - 463
Copyright
© 1968 Cambridge University Press

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References

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