Abstract
The interaction between a planetary wave damped by cooling to space and the zonally averaged circulation in the middle atmosphere is examined for a steady-state situation in middle latitudes. Quasi-geostrophic scaling of Type 2 is assumed (i.e. the space scales are planetary and the superrotation is small).
A set of mean equations is derived for this scaling which is complementary to the set of perturbation equations previously studied. The mean equations show that a planetary wave induces a mean meridional circulation which is balanced by an eddy momentum forcing function and a mean diabatic heating which is balanced by an eddy heat flux forcing function. The vertical eddy fluxes enter the forcing at the same order as the horizontal eddy fluxes.
An analytical wave solution is found for the case of an atmosphere in constant superrotation. The eddy fluxes and forcing functions are evaluated for this special case. It is found that they are very sensitive to the values of the radiative damping coefficient and the superrotation. Since the damping coefficient depends on the ozone concentration and the intensity of the solar ultraviolet flux, the results suggest that changes in these quantities can strongly modify the wave-mean flow interaction in the middle atmosphere. Possible implications for climate change are discussed.
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Andrews, D. G. andMcIntyre, M. E. (1976),Planetary waves in horizontal and vertical shear: The generalized Eliassen-Palm relation and the mean zonal acceleration, J. Atmos. Sci.33, 2031–2048.
Avery, Susan K. (1978),The tropospheric forcing and vertical propagation of stationary planetary waves in the atmosphere, Ph.D. Thesis, University of Illinois at Urbana-Champaign, 145 pp.
Bates, J. R. (1977),Dynamics of stationary ultra-long waves in middle latitudes, Quart. J. R. Met. Soc.103, 397–430.
Blake, D. andLindzen, R. S. (1973),Effect of photochemical models on calculated equilibria and cooling rates in the stratosphere, Mon. Weather Rev.101, 783–802.
Boyd, J. P. (1976),The noninteraction of waves with the zonally averaged flow on a spherical earth and the interrelationships of eddy fluxes of energy, heat and momentum, J. Atmos. Sci.33, 2285–2291.
Burger, A. P. (1958),Scale considerations of planetary motions in the atmosphere, Tellus10, 195–205.
Charney, J. G. andDrazin, P. G. (1961),Propagation of planetary scale disturbances from the lower into the upper atmosphere, J. Geophys. Res.66, 83–109.
Chen, T-C. andRamanathan, V. (1978),A numerical simulation of seasonal stratospheric climate. Part II. Energetics, J. Atmos. Sci.35, 615–633.
Dickinson, R. E. (1969),Vertical propagation of planetary Rossby waves through an atmosphere with Newtonian cooling, J. Geophys. Res.74, 929–938.
Dickinson, R. E. (1973),Method of parameterization for infrared cooling between altitudes of 30 and 70 kilometres, J. Geophys. Res.78, 4451–4457.
Eliassen, A. andPalm, E. (1960),On the transfer of energy in stationary mountain waves, Geofys. Publ.22, No. 3, 22 pp.
Hartmann, D. L. (1976a),The structure of the stratosphere in the southern hemisphere during late winter 1973 as observed by satellite, J. Atmos. Sci.33, 1141–1154.
Hartmann, D. L. (1976b),The dynamical climatology of the stratosphere in the southern hemisphere during late winter 1973, J. Atmos. Sci.33, 1789–1802.
Holton, J. R. (1975),The dynamic meteorology of the stratosphere and mesosphere, Med. Monographs15, No. 37, American Met. Soc., 218 pp.
Holton, J. R. andDunkerton, T. (1978),On the role of wave transience and dissipation in stratospheric mean flow vacillations, J. Atmos. Sci.35, 740–744.
Holton, J. R. andLindzen, R. S. (1972),An updated theory for the quasi-biennial cycle of the tropical stratosphere, J. Atmos. Sci.29, 1076–1080.
Newell, R. E., Kidson, J. W., Vincent, D. G. andBoer, G. J. (1972),The general circulation of the tropical atmosphere and interactions with extratropical latitudes, Vol. 1, MIT Press, Cambridge, Massachusetts and London, England, 258 pp.
Newell, R. E., Kidson, J. W., Vincent, D. G. andBoer, G. J. (1974),The general circulation of the tropical atmosphere and interaction with extratropical latitudes, Vol. 2, MIT Press, Cambridge, Massachusetts and London, England, 317 pp.
Phillips, N. A. (1963),Geostrophic Motion, Revs. of Geophys.1, 123–176.
Prinn, R. G., Alyea, F. N. andCunnold, D. M. (1978),Photochemistry and dynamics of the ozone layer. Ann. Rev. Earth Planet. Sci.6, 43–74.
Ramanathan, V. andGrose, W. L. (1978),A numerical simulation of seasonal stratospheric climate, Part I. Zonal temperatures and winds, J. Atmos. Sci.35, 600–614.
Schoeberl, M. R. andGeller, M. A. (1977),A calculation of the structure of stationary planetary waves in winter, J. Atmos. Sci.34, 1235–1255.
Schoeberl, M. R. andStrobel, D. F. (1978),The zonally averaged circulation of the middle atmosphere, J. Atmos. Sci.35, 577–591.
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Bates, J.R. On the interaction between a radiatively damped planetary wave and the zonally averaged circulation in the middle atmosphere. PAGEOPH 118, 266–283 (1980). https://doi.org/10.1007/BF01586454
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DOI: https://doi.org/10.1007/BF01586454