Skip to main content
Log in

On waves in non-isothermal, compressible, ionized and viscous atmospheres

  • Published:
Solar Physics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

A review is given of the properties of waves in atmospheres, with particular emphasis on (Section 1) the variation of amplitude and phase with altitude for propagating waves (Figures 1 to 4) and the waveforms of standing modes (Figure 5). The cases dealt with concern waves under the combined influences of gravity and compressibility, and examine the effects of: (Section 2) temperature gradients in a non-isothermal atmospheric model; (Section 3) external magnetic field, either vertical or horizontal; (Section 4) dissipation by viscosity and electrical resistance. The results are relevant to (Section 5) the assessment of atmospheric wave growth and shock formation, and to the calculation of heating functions describing the deposition of wave energy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Athay, R. G.: 1976, The Quiet Sun, D. Reidel Publ. Co., Dordrecht, Holland.

    Google Scholar 

  • Beer, T.: 1974, Atmospheric Waves, John Wiley.

  • Biermann, L.: 1948, Z. Astrophys. 25, 161.

    Google Scholar 

  • Brekhovskikh, L. M.: 1961, Waves in Layered Media, Academic Press, 2nd edition, New York, 1980.

    Google Scholar 

  • Bray, R. J. and Loughhead, R. E.: 1974, The Solar Chromosphere, Chapman and Hall, London.

    Google Scholar 

  • Campos, L. M. B. C.: 1977, J. Fluid Mech 81, 529.

    Google Scholar 

  • Campos, L. M. B. C.: 1982, ‘On Anisotropic, Dispersive and Dissipative Wave Equations’, to appear in Port. Math.

  • Campos, L. M. B. C.: 1983a, ‘On Three-Dimensional Acoustic-Gravity Waves in Model Non-Isothermal Atmospheres’, to appear in Wave Motion 5.

  • Campos, L. M. B. C.: 1983b, ‘On Magneto-Acoustic-Gravity Waves Propagating or Standing Vertically in an Atmosphere’, to appear in J. Phys. A.

  • Campos, L. M. B. C.: 1983c, ‘On Viscous and Resistive Dissipation of Atmospheric Waves’, in preparation.

  • Gossard, E. and Hooke, W.: 1975, Waves in the Atmosphere, Elsevier, Amsterdam.

    Google Scholar 

  • Hide, R.: 1956, Proc. Roy. Soc. A223, 276.

    Google Scholar 

  • Hollweg, J. V.: 1972, Cosmic Electr. 2, 423.

    Google Scholar 

  • Lamb, H.: 1908, Proc. Lond. Math. Soc. 7, 122

    Google Scholar 

  • Lamb, H.: 1932, Hydrodynamics, Cambridge Univ. Press, London.

    Google Scholar 

  • Leroy, B.: 1982, Astron. Astrophys. 97, 245.

    Google Scholar 

  • Lighthill, M. J.: 1967, IAU Symp. 28, 429.

    Google Scholar 

  • Lighthill, M. J.: 1978, Waves in Fluids, Cambridge Univ. Press, London.

    Google Scholar 

  • Lyons, P. and Yanowitch, M.: 1974, J. Fluid Mech. 66, 273.

    Google Scholar 

  • Mein, N.: 1978, Solar Phys. 59, 3.

    Google Scholar 

  • Mein, N. and Mein, P.: 1980, Astron. Astrophys. 84, 96.

    Google Scholar 

  • Meyer, F.: 1968, in K. O. Kiepenheuer (ed.), ‘Structure and Development of Solar Active Regions’, IAU Symp. 35, 487.

  • Moore, D. W. and Spiegel, E. A.: 1964, Astrophys. J. 139, 48.

    Google Scholar 

  • Nye, A. H. and Thomas, J.: 1976, Astrophys. J. 204, 573.

    Google Scholar 

  • Osterbrock, D. E.: 1961, Astrophys. J. 134, 347.

    Google Scholar 

  • Rayleigh, J. W. S.: 1890, Phil. Mag. 29, 173.

    Google Scholar 

  • Thomas, J.: 1976, IAU Colloq. 36, 134.

    Google Scholar 

  • Thorpe, S.: 1968, Phil. Trans. Roy. Soc. 263, 563.

    Google Scholar 

  • Uchida, Y.: 1968, Solar Phys. 4, 30.

    Google Scholar 

  • Yeh, C. S. and Liu, C. H.: 1974, Rev. Geophys. Space Sci. 12, 193.

    Google Scholar 

  • Yih, C. S.: 1965, Non-Homogeneous Fluids, MacMillan, New York.

    Google Scholar 

  • Yanowitch, M.: 1967, Can. J. Phys. 45, 2003.

    Google Scholar 

  • Zhughzda, Y. D.: 1971, Cosmic Elect. 2, 267.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Proceedings of the 66th IAU Colloquium: Problems in Solar and Stellar Oscillations, held at the Crimean Astrophysical Observatory, U.S.S.R., 1–5 September, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Campos, L.M.B.C. On waves in non-isothermal, compressible, ionized and viscous atmospheres. Sol Phys 82, 355–368 (1983). https://doi.org/10.1007/BF00145574

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00145574

Keywords

Navigation