Skip to main content
Log in

The separation velocity of emerging magnetic flux

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

We measure the separation velocity of opposite poles from 24 new bipoles on the Sun. We find that the measured velocities range from about 0.2 to 1 km s−1. The fluxes of the bipoles range over more than two orders of magnitude, and the mean field strength and the sizes range over one order of magnitude. The measured separation velocity is not correlated with the flux and the mean field strength of the bipole. The separation velocity predicted by the present theory of magnetic buoyancy is between 7.4Ba −1/4 cot θ and 13 cot θ km s−1, where θ is the elevation angle of the flux tube at the photosphere (see Figure 9), B is the mean field strength, and a is the radius of the observed bipole. The rising velocity of the top of flux tubes predicted by the theory of magnetic buoyancy is between 3.7Ba −1/4 and 6.5 km s−1. The predicted separation velocity is about one order of magnitude higher than those measured, or else the flux tubes are almost vertical at the photosphere. There is no correlation between the measured separation velocity and the theoretical value, 7.4Ba −1/4. The predicted rising velocity is also higher than the vertical velocity near the line of inversion in emerging flux regions observed by other authors.

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

  • Akasofu, S.-I.: 1984, Planetary Space Sci. 32, 1257.

    Google Scholar 

  • Born, R.: 1974, Solar Phys. 38, 127.

    Google Scholar 

  • Brants, J. J.: 1985, Solar Phys. 98, 197.

    Google Scholar 

  • Frazier, E. N.: 1972, Solar Phys. 26, 130.

    Google Scholar 

  • Harvey, K. L. and Martin, S. F.: 1973, Solar Phys. 32, 389.

    Google Scholar 

  • Kawaguchi, I. and Kitai, R.: 1976, Solar Phys. 46, 125.

    Google Scholar 

  • Kiepenheuer, K. O.: 1953, in G. P. Kuiper (ed.), The Sun, The University of Chicago Press, Chicago, p. 322.

    Google Scholar 

  • Landau, L. D. and Lifshitz, E. M.: 1959, Fluid Mechanics, Pergamon, London, Chap. 2.

  • Livi, S. H. B., Wang, J., and Martin, S. F.: 1985, Australian J. Phys. 38, 222.

    Google Scholar 

  • Martin, S. F.: 1983, in S. Keil (ed.), Sacramento Peak Workshop on Small Scale Dynamical Processes, Proc, Nat. Solar Obs. Conf. Sunspot. NM, p. 30.

  • Martin, S. F., Livi, S. H. B., Wang, J., and Shi, Z.: 1985, in M. J. Hagyard(ed.), Measurements of Solar Vector Magnetic Fields, NASA Conference Publication 2374, NASA, Washington DC, p. 403.

    Google Scholar 

  • Moreno-Insertis, F.: 1983, Astron. Astrophys. 122, 241.

    Google Scholar 

  • Parker, E. N.: 1955, Astrophys. J. 121, 491.

    Google Scholar 

  • Parker, E. N.: 1975, Astrophys. J. 198, 205.

    Google Scholar 

  • Parker, E. N.: 1979, Cosmical Magnetic Fields, Oxford, New York, Chap. 8 and 10.

  • Roberts, P. H.: 1970, ‘Velocity Fiels in Magnetically Disturbed Regions of the Hα Chromosphere’, Thesis, Calif. Inst. of Technology.

  • Schmidt, H. U., Simon, G. W., and Weiss, N. O.: 1985, Astron. Astrophys. 148, 191.

    Google Scholar 

  • Schüssler, M.: 1977, Astron. Astrophys. 56, 439.

    Google Scholar 

  • Schüssler, M.: 1979, Astron. Astrophys. 71, 79.

    Google Scholar 

  • Shi, Z., Wang, J., and Patterson, A.: 1986, ‘Calibration of Dopplergrams and Magnetograms at BBSO’, BBSO Preprint No. 257, Calif. Inst. of Technology.

  • Simon, G. W. and Leighton, R. B.: 1964, Ap. J. 140, 1120.

    Google Scholar 

  • Simon, G. W. and Wilson, P. R.: 1985, Ap. J. 295, 241.

    Google Scholar 

  • Spruit, H. C.: 1974, Solar Phys. 34, 277.

    Google Scholar 

  • Topka, K. and Tarbell, T.: 1983, in S. Keil (ed.), Small-Scale Dynamical Processes in Quiet Stellar Atmospheres, Proc. Nat. Solar Obs. Conf, Sunspot, NM, p. 278.

  • Tritton, D. J.: 1977, Physical Fluid Dynamics, Van Nostrand Reinhold, England, Chap. 3.

    Google Scholar 

  • Tsinganos, K. C.: 1980, Ap. J. 239, 746.

    Google Scholar 

  • Unno, W. and Ribes, E.: 1976, Ap. J. 208, 222.

    Google Scholar 

  • van Ballegooijen, A. A.: 1982, Astron. Astrophys. 106, 43.

    Google Scholar 

  • Wang, H.: 1987, in preparation.

  • Wilson, P. R. and Simon, G. W.: 1983, Ap. J. 273, 805.

    Google Scholar 

  • Wilson, P. R.: 1986, Solar Phys. 106, 1.

    Google Scholar 

  • Zirin, H.: 1972, Solar Phys. 22, 34.

    Google Scholar 

  • Zirin, H.: 1985, Australian J. Phys. 38, 961.

    Google Scholar 

  • Zirin, H.: 1986, private communication.

  • Zwaan, C.: 1978, Solar Phys. 60, 213.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chou, DY., Wang, H. The separation velocity of emerging magnetic flux. Sol Phys 110, 81–99 (1987). https://doi.org/10.1007/BF00148204

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00148204

Keywords

Navigation