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Magnetohydrodynamic disturbances in the earth's core, III

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It is in the hope of establishing a theorem contributing to the origin of the Secular Variation of the geomagnetic field that this third paper under the same heading, is written, —In this paper it is supposed that amagnetic dipole is suddenly introduced in the earth's core to act as a source of disturbance to the exciting field taken as a poloidal one. The dipole axis is placed parallel to the original field and perpendicular to the mantle. Mathematical solutions have been obtained for the resulting fluid motion in the core as well as for the generated magnetohydrodynamic perturbations in the earth's core and in the mantle. It can be seen from the mathematical results obtained that although the disturbances in the core are so complicated, yet they are much less complicated in the mantle and specially at the plane boundary separating core and mantle.

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References

  1. H. Bateman,Table of Integral Transforms, Vol. 2,Erdélyi (Ed.) (McGraw-Hill, 1954).

  2. M. G. S. el Mohandis,Magnetohydrodynamic Disturbances, etc., Astrophys. J.129 (1959), 172–193.

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  3. M. G. S. el Mohandis,Magnetohydrodynamic Disturbances in the Earth's Core, I, Pageoph70 (1969/II), 132.

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  4. M. G. S. el Mohandis,Magnetohydrodynamic Disturbances in the Earth's Core, II, Pageoph72 (1969/I), 155.

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  5. R. Hide andP. H. Roberts,Physics and Chemistry of the Earth, Vol. 4 (Pergamon Press, 1961), Ch. 2.

  6. I. N. Sneddon,Special Functions of Mathematical Physics and Chemistry, University Mathematical Texts (1961).

  7. C. Walén, Ark. f. Mat. Astr. o. Fys.30 A, Nr. 15 (1944).

  8. G. N. Watson,Theory of Bessel Functions (Cambridge 1944).

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el Mohandis, M.G.S. Magnetohydrodynamic disturbances in the earth's core, III. PAGEOPH 72, 177–192 (1969). https://doi.org/10.1007/BF00875702

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  • DOI: https://doi.org/10.1007/BF00875702

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