The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Convection in horizontal layers with internal heat generation experiments
Abstract
A largely qualitative experimental investigation has been made of cellular convection patterns produced by the instability of a horizontal layer of fluid heated uniformly throughout its body and cooled from above. The fluid was aqueous zinc sulphate solution, and the heating was produced by an electrolytic current. The flow was visualized and photographed using polystyrene beads which, because of a differential expansion, came out of suspension in regions where the fluid was hotter or colder than average. The development of the cellular patterns as the Rayleigh number (a modified form) was varied was in many respects similar to that for Bénard convection. There were, however, two striking differences. First, the fluid descended in the centres of the cells and ascended at the peripheries; this was probably associated with the asymmetry between the heating and cooling. Secondly, and more surprisingly, the horizontal scale of the convection patterns was unusually large (except at the lowest Rayleigh numbers); the distance between rising and falling currents was observed to reach typically five times the depth of the layer. This last observation may be relevant to theories of convection within the Earth's mantle, to mesoscale convection in the atmosphere, and to patterns formed in ice.
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“Laboratory experiments on convection driven by internal heating show cells whose width increases as the Rayleigh number is increased (Tritton & Zarraga 1967).”
From Speculations on the Thermal and Tectonic History of the Earth (2007) · cites this paper as Tritton & Zarraga 1967
Citations
Cites
Hydrodynamic and Hydromagnetic Stability
Chandrasekhar, S., & Gillis, J. (1962) · Physics Today · doi:10.1063/1.3058072 · Cited by 10,517
On convection cells induced by surface tension
Pearson, J. R. A. (1958) · Journal of Fluid Mechanics · doi:10.1017/s0022112058000616 · Cited by 1,730
THE DYNAMICS OF LONG WAVES IN A BAROCLINIC WESTERLY CURRENT
Charney, J. G. (1947) · Journal of Meteorology · doi:10.1175/1520-0469(1947)004 · Cited by 1,226
Sparrow, E. M., Goldstein, R. J., & Jonsson, V. K. (1964) · Journal of Fluid Mechanics · doi:10.1017/s0022112064000386 · Cited by 474
Convection in horizontal layers with internal heat generation. Theory
Roberts, P. H. (1967) · Journal of Fluid Mechanics · doi:10.1017/s0022112067001284 · Cited by 290
On the tendency towards hexagonal cells in steady convection
Palm, E. (1960) · Journal of Fluid Mechanics · doi:10.1017/s0022112060000530 · Cited by 269
Towards a Theory of Continental Drift
Runcorn, S. K. (1962) · Nature · doi:10.1038/193311a0 · Cited by 148
On the question of the preferred mode in cellular thermal convection
Segel, L. A., & Stuart, J. T. (1962) · Journal of Fluid Mechanics · doi:10.1017/s0022112062000683 · Cited by 146
Heat transfer and convection currents
Tozer, D. C. (1965) · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · doi:10.1098/rsta.1965.0038 · Cited by 120
Numerical Solutions of the Nonlinear Equations for a Heated Fluid Layer
Fromm, J. E. (1965) · The Physics of Fluids · doi:10.1063/1.1761107 · Cited by 111
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Research works printed but not linked: 4
- Pearson, J. R. A. 1958 J. Fluid Mech. 4,489.
- Schmidt, E. & Silveston, P. L. 1959 Chem. Engng. Prog., Symposium Series, Heat Transfer,55, 163.
- Stuart, J. T. 1963 Hydrodynamic Stability, Sect. IX of Laminar Boundary Layers ed. L. Rosenhead Oxford University Press.
- Tozer, D. C. 1965 Phil. Trans. A258, 252.
Cited by
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Speculations on the Thermal and Tectonic History of the Earth
McKenzie, D., & Weiss, N. (2007) · Geophysical Journal of the Royal Astronomical Society · doi:10.1111/j.1365-246x.1975.tb05855.x · Cited by 335
Convection in an internally heated layer
Thirlby, R. (1970) · Journal of Fluid Mechanics · doi:10.1017/s0022112070002082 · Cited by 78
Thermal instability and convection of a thin fluid layer bounded by a stably stratified region
Whitehead, J. A., & Chen, M. M. (1970) · Journal of Fluid Mechanics · doi:10.1017/s0022112070000319 · Cited by 70
Metadata
- Authors
- Tritton, D. J., & Zarraga, M. N.
- Affiliations
- Newcastle University (GB)
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1967-10-17
- Volume
- 30
- Issue
- 1
- Pages
- 21-31
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2166470235
- Cited by
- 180
- References
- 11
- Citations by year
- 2026: 5 · 2025: 4 · 2024: 6 · 2023: 3 · 2022: 8 · 2021: 4 · 2020: 4 · 2019: 2 · 2018: 9 · 2017: 3 · 2016: 6 · 2015: 4 · 2014: 3 · 2013: 3 · 2012: 1
- FWCI
- 6.09
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Fluid Mechanics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Dynamics and Pattern Formation
- Physical Sciences › Engineering › Computational Mechanics › Fluid dynamics and aerodynamics studies
- Keywords
- cellular convection, horizontal fluid layer, internal heat generation, Rayleigh-Bénard convection, mantle convection
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