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5. The axisymmetric case in hydromagnetics

Published online by Cambridge University Press:  18 July 2016

S. Chandrasekhar  and
Kevin H. Prendergast
S. Chandrasekhar
Affiliation:
Yerkes Observatory, University of Chicago, U.S.A.
Kevin H. Prendergast
Affiliation:
Yerkes Observatory, University of Chicago, U.S.A.

Abstract

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Recent work at the Yerkes Observatory has been concerned with the study of configurations in which the magnetic and velocity fields possess a common axis of symmetry. In those cases where the density ρ may be assumed constant, it has proved advantageous to employ a representation suggested by Lüst and Schlüter[1]: in cylindrical co-ordinates (ω, ϕ, z) let and where is a unit vector and T, P, V, and U are independent of the azimuthal angle Φ. The hydrodynamic equation may then be replaced by the pair of equations (cf. Ghandrasekhar [2]) and where Δ5 is the Laplacian operator in 5 dimensions. The equation for the magnetic field, may similarly be replaced by the pair of equations and

Type
Part I: Magneto-Hydrodynamics
Information
Symposium - International Astronomical Union , Volume 6: Electromagnetic Phenomena in Cosmical Physics , 1958 , pp. 46 - 49
Copyright
Copyright © Cambridge University Press 1958 

References

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