Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-18T18:57:25.045Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ahlers, G., Cross, M. C., Hohenberg, P. C. & Safran, S. 1981 J. Fluid Mech. 110, 297.
Ahlers, G., Hohenberg, P. C. & LÜCKE, M. 1983 In preparation.
Behringer, R. P. & Ahlers, G. 1982 J. Fluid Mech. 125, 219.
Brown, S. N. & Stewartson, K. 1977 SIAM J. Appl. Maths 57, 187.
Cross, M. C. 1980 Phys. Fluids 23, 1727.
Cross, M. C., Daniels, P. G., Hohenberg, P. C. & Siggia, E. D. 1983 J. Fluid Mech. 127, 155.
Daniels, P. G. 1977 Proc. R. Soc. Lond. A, 358, 173.
Daniels, P. G. 1978 Mathematika 25, 216.
Kirchartz, K. R., MÜLLER, U., Oertel, H. & Zierep, J. 1981 Acta Mech. 40, 181.
Newell, A. C. & Whitehead, J. A. 1969 J. Fluid Mech. 38, 279.
Segel, L. A. 1969 J. Fluid Mech. 38, 203.
Wesfreid, J., Pomeau, Y., Dubois, M., Normand, C. & BERGÉ, P. 1978 J. Physique Lett. 39, 725.