Abstract
Some theoretical models illustrating the growth of magnetic fields around the boundaries of supergranulation cells are given. The evolution of a magnetic field in a prescribed velocity field is calculated for the idealized case of hexagonal cells. The calculations are carried out both for a perfect conductor and a fluid of finite conductivity. The theory is developed in such a way as to be virtually free of specific assumptions about the depth dependence of the supergranulation flow. The results demonstrate the tendency of the field to accumulate at those boundary points where the flow is most strongly converging.
Similar content being viewed by others
References
Bumba, V. and Howard, R.: 1965a, Astrophys. J. 141, 1492.
Bumba, V. and Howard, R.: 1965b, Astrophys. J. 142, 796.
Chandrasekhar, S.: 1961, Hydrodynamic and Hydromagnetic Stability. Oxford University Press, London, p. 47–51.
Christopherson, D.G.: 1940, Quart. J. Math. 11, 63.
Clark, A. Jr.: 1966, Phys. Fluids 9, 485.
Leighton, R.B., Noyes, R.W., and Simon, G.W.: 1962, Astrophys. J. 135, 474.
Michard, R.: 1965, Stellar and Solar Magnetic Fields (ed. by R. Lüst). North-Holland Publ. Co., Amsterdam, p. 229.
Osterbrock, D.E.: 1961, Astrophys. J. 134, 347.
Parker, E.N.: 1963, Astrophys. J. 138, 552.
Pikel'ner, S.B.: 1963, Soviet Astron. - A.J. 6, 757.
Sheeley, N.R., Jr.: 1966, Astrophys. J. 144, 723.
Sheeley, N.R., Jr.: 1967, Solar Phys. 1, 171.
Simon, G.W. and Leighton, R.B.: 1963, Astron. J. 68, 291.
Simon, G.W. and Leighton, R.B.: 1964, Astrophys. J. 140, 1120.
Zirin, H.: 1966, The Solar Atmosphere. Blaisdell, p. 234.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Clark, A., Johnson, H.K. Magnetic-field accumulation in supergranules. Sol Phys 2, 433–440 (1967). https://doi.org/10.1007/BF00146491
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00146491