Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-24T10:28:55.966Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]
E. A. Evangelidis
Affiliation:
Department of Environmental Engineering, Laboratory of Non-Conventional Sources of Energy, Demokritos University of Thrace, Kimeria, Xanthi67100, Greece email: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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