The DOI matches its Crossref record.
Mean flow generated by circulation on a β-plane: An analogy with the moving flame experiment
Open accessAbstract
A number of laboratory experiments are described in which water with a curved upper surface in a rotating basin exhibited prograde flows when stirred by stirrers which put no azimuthal torque upon the fluid. It is suggested that the flows were generated by Reynolds stresses of the circulating fluid, and that this is a general consequence of circulations on a β-plane. This is reinforced by an analogy between the equations of the moving flame experiment and the equations of flow on a β-plane. Implications upon atmospheric and oceanic flows are mentioned.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Whitehead (1975) demonstrated that the generation of a train of Rossby waves in a rotating tank with paraboloidal free surface induces a prograde flow at the radius of the forcing, with two weak retrograde flows on both sides of the forcing.
“Whitehead (1975) demonstrated that the generation of a train of Rossby waves in a rotating tank with paraboloidal free surface induces a prograde flow at the radius of the forcing, with two weak retrograde flows on both sides of the forcing.”
From Zonal jets at the laboratory scale: hysteresis and Rossby waves resonance (2021) · cites this paper as Whitehead (1975)
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 18
- Busse F. H, 1970, Ap. J, 159, 629, 10.1086/150337 · DOI
- Busse F. H, 1972, J. Atmos. Sci, 8, 1423, 10.1175/1520-0469(1972)029<1423:OTMFIB>2.0.CO;2 · DOI
- Davey A, 1967, J. Fluid Mech, 29, 137, 10.1017/S0022112067000679 · DOI
- Hinch E. J., 1971, J. Fluid Mech, 47, 291, 10.1017/S002211207100106X · DOI
- Kelley R. E., 1970, Angew. Math. Phys, 21, 1, 10.1007/BF01594978 · DOI
- Malkus W. V. R, 1970, J. Atmos. Sci, 27, 529, 10.1175/1520-0469(1970)027<0529:HHCOV>2.0.CO;2 · DOI
- Nickel G. H, 1969, Solar Physics, 10, 472, 10.1007/BF00145533 · DOI
- Pedlosky J, 1970, J. Atmos. Sci, 27, 15, 10.1175/1520-0469(1970)027<0015:FABW>2.0.CO;2 · DOI
- Phillips N. A, 1954, Tellus, 6, 273, 10.1111/j.2153-3490.1954.tb01123.x · DOI
- Schubert G., 1969, Science, 163, 72
- Schubert, G., 1970, J. Geophys. Res, 76, 21219
- Starr, V. P. 1968. Physics of negative viscosity phenomena. McGraw-Hill, New York.
- Stern M. E, 1959, Tellus, 11, 175, 10.3402/tellusa.v11i2.9301 · DOI
- Stern M. E, 1971, Tellus, 23, 122, 10.3402/tellusa.v23i2.10370 · DOI
- Stommel H, 1948, Trans. Amer. Geo-phys. Union, 29, 202, 10.1029/TR029i002p00202 · DOI
- Thompson R, 1970, J. Atmos. Sci, 1107, 10.1175/1520-0469(1970)027<1107:VGCIAM>2.0.CO;2 · DOI
- Thompson R. O. R. Y, 1971, J. Phys. Oceanog, 1, 235, 10.1175/1520-0485(1971)001<0235:WTIAIE>2.0.CO;2 · DOI
- 10.1080/03091927208236079 · DOI
Cited by
Sorted by citations
Multiple Jets as PV Staircases: The Phillips Effect and the Resilience of Eddy-Transport Barriers
Dritschel, D. G., & McIntyre, M. E. (2008) · Journal of the Atmospheric Sciences · doi:10.1175/2007jas2227.1 · Cited by 311
Srinivasan, K., & Young, W. R. (2011) · Journal of the Atmospheric Sciences · doi:10.1175/jas-d-11-0200.1 · Cited by 176
Laboratory model of a planetary eastward jet
Sommeria, J., Meyers, S. D., & Swinney, H. L. (1989) · Nature · doi:10.1038/337058a0 · Cited by 131
Chen, R., Flierl, G. R., & Wunsch, C. I. (2014) · Journal of Physical Oceanography · doi:10.1175/jpo-d-14-0009.1 · Cited by 171
“Geographical variability of dominant eddy–eddy and eddy–mean flow processes is a dominant factor in understanding ocean energetics.”
BackgroundOn the origin of jets in the ocean
Afanasyev, Y. D., O'Leary, S., Rhines, P. B., & Lindahl, E. G. (2011) · Geophysical & Astrophysical Fluid Dynamics · doi:10.1080/03091929.2011.562896 · Cited by 37
“Jet flows on the -plane have been observed in a number of laboratory experiments starting from the pioneering experiment by Whitehead (1975) where the flow was induced locally by a vertically oscillating disc.”
BackgroundDynamically consistent parameterization of mesoscale eddies. Part I: Simple model
Berloff, P. (2015) · doi:10.1016/j.ocemod.2014.12.008 · Cited by 42
“The simplest conceptual model of the nonlinear rectification of plunger-induced flows is sometimes referred to as the ‘‘beta-plane plunger’’, and its main aspect is emergence of (1) a rectified eastward jet at the directly forced latitudes and (2) westward return currents outside of them (Whitehead, 1975; Haidvogel an…”
BackgroundRead, P. L., Jacoby, T. N. L., Rogberg, P., Wordsworth, R., Yamazaki, Y. H., Miki-Yamazaki, K., Young, R. M. B., Sommeria, J., Didelle, H., & Viboud, S. (2015) · Physics of Fluids · doi:10.1063/1.4928697 · Cited by 31
Zonal jets at the laboratory scale: hysteresis and Rossby waves resonance
Lemasquerier, D., Favier, B., & Le Bars, M. (2021) · Journal of Fluid Mechanics · doi:10.1017/jfm.2020.1000 · Cited by 30
Mean flows driven by weak eddies in rotating systems
Mcewan, A. D., Thompson, R. O. R. Y., & Plumb, R. A. (1980) · Journal of Fluid Mechanics · doi:10.1017/s002211208000081x · Cited by 24
Simulating zonation in geophysical flows by laboratory experiments
Di Nitto, G., Espa, S., & Cenedese, A. (2013) · Physics of Fluids · doi:10.1063/1.4817540 · Cited by 22
Generation of zonal flows in convective systems by travelling thermal waves
Reiter, P., Zhang, X., Stepanov, R., & Shishkina, O. (2020) · Journal of Fluid Mechanics · doi:10.1017/jfm.2020.1186 · Cited by 20
“The studied problem is sufficiently general enough and can be extended to more complicated systems (Whitehead 1975; Shukla et al. 1981; Mamou et al. 1996).”
BackgroundOn the influence of a β‐effect on Lagrangian diffusion
Lacorata, G., & Espa, S. (2012) · Geophysical Research Letters · doi:10.1029/2012gl051841 · Cited by 14
“Jets related to the zonostrophic regime were studied in laboratory experiments [Whitehead, 1975; Armi, 1989; Sommeria et al., 1991; Aubert et al., 2002; Rasmussen et al., 2006; Read et al., 2007; Slavin and Afanasyev, 2012], as well as in numerical simulations [Galperin et al., 2010].”
BackgroundMatulka, A. M., Zhang, Y., & Afanasyev, Y. D. (2016) · Nonlinear processes in geophysics · doi:10.5194/npg-23-21-2016 · Cited by 9
“Zonal jets have a long history of investigation starting from the pioneering experiments by Whitehead (1975) and Collin de Verdiere (1979).”
BackgroundOrder and chaos in ocean current dynamics : numerical experiments
Seidov, D., & Marushkevich, A. D. (1992) · doi:10.1016/0377-0265(92)90017-n · Cited by 10
Displacement and rectification of planetary fluids
Stern, M., & Shen, C. Y. (1975) · doi:10.1080/03091927508242614 · Cited by 6
Eddy-driven Zonal Jet Flows in the Laboratory
Read, P. L., Afanasyev, Y. D., Aurnou, J. M., & Lemasquerier, D. (2024) · Comptes Rendus Physique · doi:10.5802/crphys.213 · Cited by 5
Burin, M. J., Caspary, K., Edlund, E. M., Ezeta, R., Gilson, E. P., Ji, H., McNulty, M., Squire, J., & Tynan, G. R. (2019) · Physical review. E · doi:10.1103/physreve.99.023108 · Cited by 6
Dipolar gyres generated by continuous forcing on a polar β-plane
Afanasyev, Y., & Jewtoukoff, V. (2009) · doi:10.1063/1.3156007 · Cited by 3
Marshall, J. (2011) · doi:10.1357/002224011799849318 · Cited by 2
“Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge MA 02139. email: jmarsh@mit.edu 647 by Whitehead (1975), a heater moving under a horizontal cylindrical annulus of liquid, generates mean flow.”
BackgroundZonal Jets in Rotating Shallow Water Turbulence
Nitto, G. D. (2013) · Earth Sciences · doi:10.11648/j.earth.20130202.11 · Cited by 2
“Whitehead [24] was the first who studied experimentally the β-plane turbulence in 1975.”
BackgroundA frictional control mechanism of circumpolar transport in barotropic reentrant channel models
Matsuta, T., Kubokawa, A., Mitsudera, H., & Ogata, T. (2026) · Journal of Physical Oceanography · doi:10.1175/jpo-d-25-0248.1 · Cited by 1
A laboratory study of mean flow generation in rotating fluids by Reynolds stress gradients
Mcguinness, D., Boyer, D., & Fernando, H. S. (2001) · doi:10.1029/2000jc000499 · Cited by 1
The Influence of Meridional Boundaries Upon Rossby Wave Rectification Processes
de Verdière, A. C. (1980) · doi:10.1016/s0422-9894(08)71210-8 · Cited by 1
Metadata
- Authors
- Whitehead, J. A.
- Affiliations
- Woods Hole Oceanographic Institution (US)
- Corresponding author
- Whitehead, John A.
- ORCID
- Whitehead, John A.
- Venue
- Tellus A: Dynamic Meteorology and Oceanography
- Publisher
- Stockholm University Press
- Published
- 1975-01-01
- Volume
- 27
- Issue
- 4
- Pages
- 358
- ISSN
- 0280-6495 (ISSN-L)
- 1600-0870
- OpenAlex
- W2146581377
- Cited by
- 44
- References
- 21
- Citations by year
- 2024: 3 · 2021: 2 · 2019: 1 · 2016: 2 · 2015: 1 · 2014: 2 · 2013: 2 · 2012: 2
- FWCI
- 0.61
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- cc-by
- Locations
- Tellus A Dynamic Meteorology and Oceanography (publishedVersion, cc-by)
- Topics
- Physical Sciences › Earth and Planetary Sciences › Oceanography › Oceanographic and Atmospheric Processes
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › Meteorological Phenomena and Simulations
- Keywords
- mean flow generation, beta-plane, circulation, Reynolds stress, rotating fluids, atmospheric flow, oceanic flows
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review