Summary
In paper I, (Mohandis [2]2)), the author contributes to the discussion of the origin of the secular variation of the earth's magnetic field. A mathematical solution of magnetohydrodynamic disturbances and fluid motion due to the sudden introduction of an oscillating dipole in the earth's core has been obtained. Only the symmetrical case of the problem, where the axis of the dipole is placed perpendicular to the mantle and parallel to a poloidal field, has been discussed.
In this paper, the source of disturbance is still considered to be the oscillating dipole, but the exciting field is taken as a toroidal field always parallel to the mantle. Two unsymmetric different cases of the problem are considered but the disturbed field is sonsidered only in the mantle. It is worth to note here that simpler results can be obtained by applying more conditions than those used in the present work. The new method will be illustrated in a forthcoming paper of this series, ‘Magnetolydrodynamic disturbances in the earth's core, IV’ where another case of the problem will be discussed.
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References
M. G. S. el Mohandis, Math. Phys. Soc., U.A.R. Nr. 26.
M. G. S. el Mohandis, Pageoph70 (1968/II), 132.
T. M. MacRobert, Proc. Glasgow Math. Assoc. (1961).
P. H. Roberts, Astrophys. J.126 (1957), 418–428.
H. Bateman,Tables of Integral Transforms, Vols. 1 and 2 (Erdélyi, Ed.) (McGraw-Hill, 1954).
G. N. Watson, The Theory of Bessel Functions (Cambridge 1944).
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el Mohandis, M.G.S. Magnetohydrodynamic disturbances in the earth's core, II. PAGEOPH 72, 155–176 (1969). https://doi.org/10.1007/BF00875701
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DOI: https://doi.org/10.1007/BF00875701