Abstract
Oscillatory convection in binary fluid mixtures takes the form of traveling waves. We show that the wavenumber of the resulting flow satisfies a resonance condition in a cell of finite length, in analogy with light in a laser cavity. By tuning the length of the convection cell so that two adjacent modes have approximately the same growth rate, we have been able to produce two-frequency convective flows at onset. These flows are modulated in space and time due to the interference of the two modes. Study of these modulated states has allowed accurate determination of the linear parameters of the system.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D. T. J. Hurle and E. Jakeman, J. Fluid Mech. 47, 667 (1971)
J. K. Platten and J. C. Legros, Convection in Liquids (Springer, New York, 1984), chapter IX
P. Kolodner, A. Passner, C. M. Surko, and R. W. Walden, Phys. Rev. Lett. 56, 2621 (1986)
R. Heinrichs, G. Ahlers, and D. S. Cannell, Phys. Rev. A35, 2761 (1987)
E. Moses, J. Fineberg, and V. Steinberg, Phys. Rev. A35, 2757 (1987)
C. M. Surko and P. Kolodner, Phys. Rev. Lett. 58, 2055 (1987)
D. R. Caldwell, J. Fluid Mech. 64, 347 (1974)
R. W. Walden, P. Kolodner, A. Passner, and C. M. Surko, Phys. Rev. Lett. 55, 496 (1985)
M. C. Cross, Phys. Rev. Lett. 57, 2935 (1986)
P. Kolodner, R. W. Walden, A. Passner, and C. M. Surko, J. Fluid Mech. 163, 195 (1986)
M. C. Cross (unpublished)
P. Kolodner and C. M. Surko (unpublished)
P. Kolodner, C. M. Surko, A. Passner, and H. L. Williams, submitted to Phys. Rev. A, Rapid Communications
H. Aref, J. Fluid Mech. 143, 1 (1984)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kolodner, P., Surko, C.M., Williams, H.L., Passner, A. (1988). Two-Frequency States at the Onset of Convection in Binary Fluid Mixtures. In: Wesfreid, J.E., Brand, H.R., Manneville, P., Albinet, G., Boccara, N. (eds) Propagation in Systems Far from Equilibrium. Springer Series in Synergetics, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73861-6_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-73861-6_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73863-0
Online ISBN: 978-3-642-73861-6
eBook Packages: Springer Book Archive