The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Instabilities of convection rolls in a high Prandtl number fluid
Abstract
An experiment on the stability of convection rolls with varying wave-number is described in extension of the earlier work by Chen & Whitehead (1968). The results agree with the theoretical predictions by Busse (1967 a) and show two distinct types of instability in the form of non-oscillatory disturbances. The ‘zigzag instability’ corresponds to a bending of the original rolls; in the ‘cross-roll instability’ rolls emerge at right angles to the original rolls. At Rayleigh numbers above 23,000 rolls are unstable for all wave-numbers and are replaced by a three-dimensional form of stationary convection for which the name ‘bimodal convection’ is proposed.
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Citations
Cites
On the stability of steady finite amplitude convection
Schlüter, A., Lortz, D., & Busse, F. (1965) · Journal of Fluid Mechanics · doi:10.1017/s0022112065001271 · Cited by 678
Self-citationA study of Bénard convection with and without rotation
Rossby, H. T. (1969) · Journal of Fluid Mechanics · doi:10.1017/s0022112069001674 · Cited by 607
The stability of finite amplitude cellular convection and its relation to an extremum principle
Busse, F. H. (1967) · Journal of Fluid Mechanics · doi:10.1017/s0022112067001661 · Cited by 547
Self-citationKrishnamurti, R. (1970) · Journal of Fluid Mechanics · doi:10.1017/s0022112070001271 · Cited by 321
On the Stability of Two‐Dimensional Convection in a Layer Heated from Below
Busse, F. H. (1967) · Journal of Mathematics and Physics · doi:10.1002/sapm1967461140 · Cited by 291
Self-citationDiscrete transitions in turbulent convection
Malkus, W. V. R. (1954) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1954.0196 · Cited by 259
On the transition to turbulent convection. Part 2. The transition to time-dependent flow
Krishnamurti, R. (1970) · Journal of Fluid Mechanics · doi:10.1017/s0022112070001283 · Cited by 249
On Howard's upper bound for heat transport by turbulent convection
Busse, F. H. (1969) · Journal of Fluid Mechanics · doi:10.1017/s0022112069000668 · Cited by 177
Self-citationEvolution of two-dimensional periodic Rayleigh convection cells of arbitrary wave-numbers
Chen, M. M., & Whitehead, J. A. (1968) · Journal of Fluid Mechanics · doi:10.1017/s0022112068000017 · Cited by 151
Self-citationOn the motion of a fluid heated from below
Schmidt, R. J., & Saunders, O. (1938) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1938.0055 · Cited by 78
Cited by
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Non-linear properties of thermal convection
Busse, F. H. (1978) · Reports on Progress in Physics · doi:10.1088/0034-4885/41/12/003 · Cited by 960
Self-citationMantle plumes and flood basalts
White, R. S., & McKenzie, D. (1995) · Journal of Geophysical Research: Solid Earth · doi:10.1029/95jb01585 · Cited by 548
Oscillatory and collective instabilities in large Prandtl number convection
Busse, F. H., & Whitehead, J. A. (1974) · Journal of Fluid Mechanics · doi:10.1017/s0022112074000061 · Cited by 186
Self-citationThe Relation between mantle dynamics and plate tectonics: A Primer
Bercovici, D., Ricard, Y., & Richards, M. A. (2000) · Geophysical Monograph Series · doi:10.1029/gm121p0005 · Cited by 160
Metadata
- Authors
- Busse, F. H., & Whitehead, J. A.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1971-05-31
- Volume
- 47
- Issue
- 2
- Pages
- 305-320
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2049050838
- Cited by
- 323
- References
- 13
- FWCI
- 8.94
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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