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Differential rotation and angular momentum

Published online by Cambridge University Press:  01 August 2006

G. J. J. Botha  and
E. A. Evangelidis
G. J. J. Botha
Affiliation:
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK email: gert@maths.leeds.ac.uk
E. A. Evangelidis
Affiliation:
Department of Environmental Engineering, Laboratory of Non-Conventional Sources of Energy, Demokritos University of Thrace, Kimeria, Xanthi67100, Greece email: eevangel@env.duth.gr
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Abstract

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Differential rotation not only occurs in astrophysical plasmas like accretion disks, it is also measured in laboratory plasmas as manifested in the toroidal rotation of tokamak plasmas. A re-examination of the Lagrangian of the system shows that the inclusion of the angular momentum's radial variation in the derivation of the equations of motion produces a force term that couples the angular velocity gradient with the angular momentum. This force term is a property of the angular velocity field, so that the results are valid wherever differential rotation is present.

Keywords

Accretion disksplasmas
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S239: Convection in Astrophysics , August 2006 , pp. 451 - 453
Copyright
Copyright © International Astronomical Union 2007

References

Landau, L.D. & Lifshitz, E.M. 1976, Mechanics, Course of Theoretical Physics, (Oxford: Pergamon Press) vol. 1, par. 39Google Scholar
Sivukhin, D.V. 1965, in: Leontovich, M.A. (ed.), Reviews of Plasma Physics, (New York: Consultants Bureau), vol. 1, p. 31Google Scholar