Abstract
The oceans are massive moving reservoirs of heat, moisture and energy underlying a relatively diffuse atmosphere, whose entire extent contains two or three cm of water and perhaps the heat found in 5 m of ocean surface water. The pattern of energy flux involves a multiple communication between air and sea: of the net incoming solar at the top of the atmosphere some 73% is absorbed by the sea. The partition of that heating between internal and gravitational potential energy is depth dependent, but vastly favors internal energy (perhaps by a factor of 103). But in a perfect gas the ratio of potential to internal energy produced by heating is far different (~ (1-γ), where γ is the ratio of specific heats), such that fully 40% of the heat flowing back into the atmosphere is mechanically active. By gravitational/rotational adjustment this potential energy generates kinetic energy of the symmetric circulation, which breaks down further in baroclinic instability. The zonal winds, thus intensified, set up the oceanic gyres whose potential energy exceeds kinetic by a factor (L/Lρ)2 ~ 103, where L is the gyre-scale and Lρ the gravest Rossby radius of deformation. This not to belittle the direct production of potential energy in the oceans by buoyancy flux from the atmosphere.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Batchelor, G.K., 1969, Computation of the energy spectrum in homogeneous two-dimensional turbulence, Phys. Fluids 12, 233–238.
Bunker, A.F. and L.V. Worthington, 1976, Energy exchange charts of the North Atlantic Ocean. Bull. Amer. Met. Soc. 57, 670–678.
Bretherton, F.P., 1966, Critical-later instability in baroclinic flows, Q. Journ. Roy. Met. Soc. 92, 325–334.
Brown, E., W.B. Owens and H.L. Bryden, 1986, Eddy potential vorticity fluxes in the Gulf Stream recirculation, J. Phys. Oceanog. 16, 523–531.
Bryden, H.L., 1983, Sources of eddy energy in the Gulf Stream recirculation region. J. Marine Res. 40, 1047–1068.
Colin de Verdiere, A., 1977, Ph.D thesis, WHOI-MIT Joint Program in Oceanography.
Colin de Verdiere, A., 1979, Mean flow generation by topographic Rossby waves, J. Fluid Mech. 94, 39–64.
Cox, M.J., 1985, An eddy-resolving numerical model of the ventilated thermocline, J. Phys. Oceanog. 15, 1312–1324.
Cox, M.J. and K. Bryan, 1983, A numerical model of the ventilated thermocline, J. Phys. Oceanogr., 698–705.
Ertel, H., 1942, Ein neuer hydrodynamischer Wirbelsatz, Meteorol. Zeit. 59, 277–281.
Fjortoft, R., 1953, On the changes in the spectral distribution of kinetic energy for two-dimensional nondivergent flow, Tellus 5, 225–230.
Gargett, A. 1984, Vertical eddy diffusivity in the ocean interior, J. Marine Res. 42, 359–393.
Green, J.S.A., 1970, Transfer properties of the large-scale eddies and the general circulation, Q. Journal Roy. Met. Soc., 96, 157–185.
Haidvogel, D.P. and P.B. Rhines, 1983, Waves and circulation driven by oscillatory winds in an idealized ocean basin, Geophys. Astrophys. Fluid Dyn. 25, 1–63.
Hendershott, M. 1986, The ventilated thermocline in quasigeostrophic approximation, submitted to J. Phys. Oceanog.
Hogg, N.G., 1983, A note on the deep circulation fo the western North Atlantic; its nature and causes. Deep-Sea Res., 30, 945–961.
Holland, W.R., T. Keffer, and P. Rhines, 1984, The dynamics of the oceanic circulation: the potential vorticity field. Nature, 308, 698–705.
Holland, W.R., and P.B. Rhines, 1980, An example of eddy-driven circulation, J. Phys. Oceanogr. 10, 1010–1031.
Hoskins, B.J., 1983, Modelling of the transient eddies and their feedback on the mean flow, in Large-scale dynamic processes in the atmosphere, Hoskins and Pearce eds., Academic Press, London.
Hoskins, B.J., M.E. McIntyre and A.W. Robertson, 1986, On the use and significance of isentropic potential vorticity maps, Q. Journal Royal Met. Soc. 111, 877–946.
Ierly, G. and W.R. Young, 1983, Can the western boundary layer affect the potential vorticity distribution in the Sverdrup interior of the wind gyre?, J. Phys. Oceanogr. 13, 1753–1763.
Keffer, T., 1984, The ventilation of the world ocean: maps of potential vorticity. J. Phys. Oceanog. 15, 509–523.
Leetma, A., P.P. Niiler, and H. Stommel, 1977, Does the Sverdrup relation account for the wind-driven ocean circulation?, J. Marine Res. 35, 1–9.
Levitus, S., 1982, Climatological atlas of the world ocean, NOAA Professional Paper 13, U.S. Dept. of Commerce.
Luyten, J., J. Pedlosky and H. Stommel, 1983a, The ventilated thermocline, J. Phys. Oceanogr 13, 292–309.
Luyten, J., J. Pedlosky and H. Stommel, 1983b, Climatic inferences form the ventilated thermocline, Climatic Change, 5, 183–191.
McNally, G.J., W.C. Patzert and A.D. Kirwin, and A.C. Vastano, 1983, The near-surface circulation of the North Pacific using satellite tracked drifting buoys, J. Geophys. Res. 88, 7507–7518
Montgomery, R.B., 1938, Circulation in the upper layers of the southern North Atlantic deduced with the use of isentropic analysis. Papers in Phys. Oceanogr. and Meteorol. 6, 55 pp.
Musgrave, D. 1984, A numerical study of the roles of sub-gyre scale mixing and the western bondary current on homogenization of a passive tracer. J. Geophys. Res., 90, 7037–7043.
Pedlosky, J. 1983, On the relative importance of ventilation and mixing of potential vorticity in mid-ocean gyres, J. Phys. Oceanog. 13, 2121–2122.
Pedlosky, J. and W.R. Young, 1983, Ventilation, potential vorticity homogenization and the structure of the ocean circulation. J. Phys Oceanog. 13, 2020–2037.
Plumb, R.A., 1979, Eddy fluxes of conserved quantities by small-amplitude waves, J. Atmos. Sci. 36, 1699–1704.
Reid, J.L. and A. Mantyla, 1978, On the mid-depth circulation of the North Pacific Ocean, J. Phys. Oceanogr., 8, 46–951.
Rhines, P.B., 1977, The dynamics of unsteady currents, in The Sea, vol. 6, E.D. Goldberg ed., Wiley Interscience, N.Y., 189–319.
Rhines, P.B., 1986, Vorticity dynamics of the oceanic general circulation, Ann. Revs. Fluid Mech. 18, 433–497.
Rhines, P.B., W.R. Holland and J.C. Chow 1985, Experiments with buoyancy-driven ocean circulation, NCAR Technical Note TN-260+STR, National Center for Atmospheric Research.
Rhines, P.B. and W.R. Young, 1982a, Homogenization of potential vorticity in planetary gyres, J. Fluid Mech. 122, 347–368.
Rhines, P.B. and W.R. Young, 1982b, A theoretical study of the wind driven circulation, I., mid-ocean gyres, J. Marine Res., 40, 559–596.
Sarmiento, J.L., 1983, A tritium box model of the North Atlantic thermocline, J. Phys. Oceanogr. 13, 1269–1274.
Sarmiento, J.L., 1983b, Simulation of bomb tritium entry into the Atlantic Ocean, J. Phys. Oceanogr. 13, 24–1939.
Schmitz, W., W. Holland and J.F. Price, 1983, Mid-latitude mesoscale variability, Rev. Geophys. Space Phys. 21, 1109–1119.
Stommel, H., A. Arons, and A. Faller, 1958, Some examples of stationary planetary flow patterns in bounded basins, Tellus 10, 179–187.
Talley, L. 1985, Ventilation of the subtropical North Pacific: the shallow salinity minimum. J. Phys. Oceanog. 15, 633–649.
Taylor, G.I., 1917, Observations and speculations on the nature of turbulent motions, in G.I. Taylor, Scientific Papers, G.K. Batchelor ed., Cambridge Unversity Press, 1960.
Taylor, G.I., 1921, Diffusion by continuous movements, in G.I. Taylor, Scientific Papers, G.K. Batchelor ed., Cambridge University Press, 1960.
Vasholz, D.P., and L.J. Crawford, 1985, Dye dispersion in the seasonal thermocline, J. Phys. Oceanog. 15, 695–712.
Wallace, M., 1978, Trajectory slopes, conuntergradient heat fluxes and mixing by lower stratospheric waves, J. Atmos. Sci. 35, 554–558.
Warren, B., 1983, Why is no deep water formed in the North Pacific? J. Marine Res., 42, 327–347.
Welander, P., 1971, The thermocline problem. Phil. Trans. Roy. Soc. A270, 69–73
Whitehead, J.A., 1975, Mean flow dirven by circulaiton on a β-plane, Tellus 27, 358–364.
Wunsch, C. and D. Roemmich, 1985, Is the North Atlantic in Sverdrup Balance?, J. Phys. Oceanog. 15, 1876–1879.
Wust, G., 1935, Schichtung und Zirkulation des Atlantischen Ozeans. Die Stratosphare. Reports of the Meteor expedition, repub. by W. J. Emery 1978, Amerind, New Delhi, 112pp.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 D. Reidel Publishing Company, Dordrecht, Holland
About this chapter
Cite this chapter
Rhines, P.B. (1986). Lectures on Ocean Circulation Dynamics. In: Willebrand, J., Anderson, D.L.T. (eds) Large-Scale Transport Processes in Oceans and Atmosphere. NATO ASI Series, vol 190. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4768-9_3
Download citation
DOI: https://doi.org/10.1007/978-94-009-4768-9_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8617-2
Online ISBN: 978-94-009-4768-9
eBook Packages: Springer Book Archive