Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-20T05:00:47.554Z Has data issue: false hasContentIssue false

The propagation of dislocations in Rayleigh-Bénard rolls and bimodal flow

Published online by Cambridge University Press:  29 March 2006

J. A. Whitehead
Affiliation:
Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543

Abstract

When Rayleigh-Bénard convection is generated under random conditions, the finite amplitude rolls and bimodal flow are observed to possess randomly placed dislocations where the rolls fit together poorly. The dislocations move into the small wavelength convection, and hence provide a size-adjustment mechanism. It is observed that the dimensionless speed of the movement is smaller for larger Prandtl number fluid.

Type
Research Article
Copyright
© 1976 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

Busse, F. 1967 On the stability of two-dimensional convection in a layer heated from below J. Math. & Phys. 46, 140150.Google Scholar
Busse, F. & Whitehead, J. A. 1971 Instabilities of convection rolls in a high Prandtl number fluid J. Fluid Mech. 47, 305320.Google Scholar
Busse, F. & Whitehead, J. A. 1974 Oscillatory and collective instabilities in large Prandtl number convection J. Fluid Mech. 66, 6779.Google Scholar
Chen, M. M. & Whitehead, J. A. 1968 Evolution of two-dimensional periodic Rayleigh convection cells of arbitrary wave-numbers J. Fluid Mech. 31, 115.Google Scholar
Koschmieder, E. L. 1966 On convection on a uniformly heated plane Beitr. Phys. Atmos. 39, 111.Google Scholar
Koschmieder, E. L. 1969 On the wavelength of convective motions J. Fluid Mech. 35, 527530.Google Scholar
Koschmieder, E. L. 1974 Bénard convection Adv. Chem. Phys. 26, 177212.Google Scholar
Krishnamurti, R. 1970 On the transition to turbulent convection. Part 1. The transition from two- to three-dimensional flow J. Fluid Mech. 42, 205307.Google Scholar
Lipps, F. B. & Somerville, R. C. J. 1971 Dynamics of variable wavelength in finiteamplitude Bénard convection Phys. Fluids, 14, 759765.Google Scholar
Rossby, H. T. 1969 Bénard convection with and without rotation J. Fluid Mech. 36, 309335.Google Scholar
Willis, G. E., Deardorff, J. W. & Somerville, R. C. J. 1972 Roll-diameter dependence in Rayleigh convection and its effect upon the heat flux J. Fluid Mech. 54, 351367.Google Scholar