Rotating dipolar gyres on a
-plane
Phys. Fluids 20, 036603 (2008); doi:10.1063/1.2890083
Published 14 March 2008
You are not logged in to this journal. Log in
Nonlinear dipolar vortices/gyres on a
-plane are investigated both experimentally and theoretically. The solutions describe a fundamental dipolar mode of large scale barotropic motion of the polar ocean or atmosphere on the rotating planet. The entire dipolar gyre is predicted to rotate anticyclonically with a specific angular velocity. The existence and stability of the theoretically predicted flow are confirmed in a laboratory experiment on a rotating platform. The laboratory flows are induced by an electromagnetic method and are observed using the nonintrusive optical method of altimetric imaging velocimetry. The rotation rate of the experimental flow is in good agreement with that predicted theoretically. Detailed measurements of the velocity field and surface elevation demonstrate that an assumption of linearity of the relation between the relative vorticity and the stream function is valid.
©2008 American Institute of Physics
-plane are investigated both experimentally and theoretically. The solutions describe a fundamental dipolar mode of large scale barotropic motion of the polar ocean or atmosphere on the rotating planet. The entire dipolar gyre is predicted to rotate anticyclonically with a specific angular velocity. The existence and stability of the theoretically predicted flow are confirmed in a laboratory experiment on a rotating platform. The laboratory flows are induced by an electromagnetic method and are observed using the nonintrusive optical method of altimetric imaging velocimetry. The rotation rate of the experimental flow is in good agreement with that predicted theoretically. Detailed measurements of the velocity field and surface elevation demonstrate that an assumption of linearity of the relation between the relative vorticity and the stream function is valid.
©2008 American Institute of Physics
| History: | Received 29 August 2007; accepted 11 February 2008; published 14 March 2008 |
| Permalink: |
http://link.aip.org/link/?PHFLE6/20/036603/1 |
REFERENCES (22)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- D. B. Percival and D. A. Rothrock, “Eyeballing Trends in Climate Time Series: A Cautionary Note,”
J. Clim. 18, 886 (2005) . - A. Proshutinsky, J. Yang, R. Krishfield, R. Gerdes, M. Karcher, F. Kauker, C. Koeberle, S. Hakkinen, W. Hobler, D. Holland, M. Maqueda, G. Holloway, E. Hunke, W. Maslowski, M. Steele, and J. Zhang, “Arctic Ocean Study: Synthesis of Model Results and Observations,” EOS (Wash. D.C.) 40, 368, (2005).
- G. Flierl, “Isolated eddy models in geophysics,”
Annu. Rev. Fluid Mech. 19, 493 (1987) . - P. D. Killworth, “On the motion of isolated lenses on a beta-plane,”
J. Phys. Oceanogr. 13, 368 (1983) . - O. G. Derzho and R. Grimshaw, “Rossby waves on a shear flow with recirculation cores,”
Stud. Appl. Math. 115, 387 (2005) . - G. G. Sutyrin, “A self-similar axisymmetric pulson in rotating stratified fluid,”
J. Fluid Mech. 560, 243 (2006) . - J. Morison, J. Wahr, R. Kwok, and C. Peralta-Ferriz, “Recent trends in Arctic ocean mass distribution revealed by GRACE,”
Geophys. Res. Lett. 34, L07602, DOI: (2007) . - M. S. Longuet-Higgins, “Planetary waves on a rotating sphere,” Proc. R. Soc. London, Ser. A 279, 446 (1964).
- P. LeBlond, “Planetary waves in a symmetrical polar basin,” Tellus 16, 503 (1964).
- H. Yang, “Evolution of a Rossby wave packet in barotropic flows with asymmetric basic current, topography and
—effect,”
J. Atmos. Sci. 44, 2267 (1987) . - A. F. C. Bridger and D. E. Stevens, “Long atmospheric waves and polar-plane approximation to the Earth's spherical geometry,”
J. Atmos. Sci. 37, 534 (1980) . - J. Pedlosky, Geophysical Fluid Dynamics (Springer-Verlag, Berlin, 1998), p. 710.
- W. T. M. Verkley, “The construction of barotropic modons on a sphere,”
J. Atmos. Sci. 41, 2492 (1984) . - U. Harlander, “A high-latitude quasi-geostrophic plane delta plane model derived from the spherical geometry,”
Tellus, Ser. A 57A, 43 (2005) . - D. Nof, “Modons and monopoles on a
-plane,”
Geophys. Astrophys. Fluid Dyn. 52, 71 (1990) . - M. Stern, “Minimal properties of planetary eddies,”
J. Mar. Res. 33, 1 (1975) . - Z. Kizner, R. Khvoles, and J. C. McWilliams, “Rotating multipoles on the f and
planes,” Phys. Fluids 19, 016603 (2007). - Y. D. Afanasyev, P. B. Rhines, and E. G. Lindahl, “Emission of inertial waves by baroclinically unstable flows: Laboratory experiments with Altimetric Imaging Velocimetry,”
J. Atmos. Sci. 65, 250 (2008) . - Y. D. Afanasyev and V. N. Korabel, “Wakes and vortex streets generated by translating force and force doublet: Laboratory experiments,”
J. Fluid Mech. 553, 119 (2006) . - S. Cuevas, S. Smolentsev, and M. Abdoum, “Vorticity generation in creeping flow past a magnetic obstacle,” Phys. Rev. E 74, 056301 (2006).
- P. B. Rhines, E. G. Lindahl, and A. J. Mendez, “Optical altimetry: A new method for observing rotating fluids with application to Rossby waves on a polar beta-plane,”
J. Fluid Mech. 572, 389 (2006) . - Y. D. Afanasyev and J. Wells, “Quasi-two-dimensional turbulence on the polar beta-plane: Laboratory experiments,”
Geophys. Astrophys. Fluid Dyn. 99, 1 (2005) .







