The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Distant side-walls cause slow amplitude modulation of cellular convection
Abstract
The effect of vertical boundaries on convection in a shallow layer of fluid heated from below is considered. By means of a multiple-scale perturbation analysis, results for horizontally unbounded layers are modified so that they ‘fit in’ to a rectangular region. The critical Rayleigh number and critical wave-number are determined. Motion is predicted to have the form of finite ‘rolls’ whose axes are parallel to the shorter sides of the dish. Aspects of the non-linear development and stability of this motion are studied. The general question of convective pattern selection in a bounded layer is discussed in the light of available theoretical and experimental results.
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Citations
Cites
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
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
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
The world of the complex Ginzburg-Landau equation
Aranson, I. S., & Kramer, L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.99 · Cited by 1,941
Convection and the Large Scale Circulation of the Mantle
Richter, F. M. (1973) · Journal of Geophysical Research · doi:10.1029/jb078i035p08735 · Cited by 251
Stability of buoyancy-driven convection in a tilted slot
Liang, S. F., & Acrivos, A. (1970) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(70)90142-0 · Cited by 22
Metadata
- Authors
- Segel, L. A.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1969-08-14
- Volume
- 38
- Issue
- 1
- Pages
- 203-224
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2147266641
- Cited by
- 739
- References
- 2
- FWCI
- 14.30
- Type
- journal article
- Language
- en
- Open access
- closed
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- Segel, L. A. (1969). Distant side-walls cause slow amplitude modulation of cellular convection. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112069000127
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.