Counter effects of meridional flows and magnetic fields in stationary axisymmetric self-gravitating barotropes under the ideal MHD approximation: Clear examples - toroidal configurations

Kotaro Fujisawa, Rohta Takahashi, Shijun Yoshida, Yoshiharu Eriguchi

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We obtain the general forms for the current density and the vorticity from the integrability conditions of the basic equations which govern the stationary states of axisymmetric magnetized self-gravitating barotropic objects with meridional flows under the ideal magnetohydrodynamics (MHD) approximation. As seen from the stationary condition equations for such bodies, the presence of the meridional flows and that of the poloidal magnetic fields act oppositely on the internal structures.The different actions of these two physical quantities, the meridional flows and the poloidal magnetic fields, could be clearly seen through stationary structures of the toroidal gaseous configurations around central point masses in the framework of Newtonian gravity because the effects of the two physical quantities can be seen in an amplified way for toroidal systems compared to those for spheroidal stars. The meridional flows make the structures more compact, i.e. the widths of toroids thinner, while the poloidal magnetic fields are apt to elongate the density contours in a certain direction depending on the situation. Therefore, the simultaneous presence of the internal flows and the magnetic fields would work as if there were no such different actions within and around the stationary gaseous objects such as axisymmetric magnetized toroids with internal motions around central compact objects under the ideal MHD approximation, although these two quantities might exist in real systems.

Original languageEnglish
Pages (from-to)1453-1469
Number of pages17
JournalMonthly Notices of the Royal Astronomical Society
Volume431
Issue number2
DOIs
Publication statusPublished - 2013
Externally publishedYes

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meridional flow
magnetohydrodynamics
flow field
flow distribution
counters
magnetic field
toroids
configurations
approximation
magnetic fields
internal flow
vorticity
fieldwork
current density
gravitation
stars
effect
gravity

Keywords

  • Accretion
  • Accretion discs
  • Black hole physics
  • Stars: magnetic field

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Counter effects of meridional flows and magnetic fields in stationary axisymmetric self-gravitating barotropes under the ideal MHD approximation : Clear examples - toroidal configurations. / Fujisawa, Kotaro; Takahashi, Rohta; Yoshida, Shijun; Eriguchi, Yoshiharu.

In: Monthly Notices of the Royal Astronomical Society, Vol. 431, No. 2, 2013, p. 1453-1469.

Research output: Contribution to journalArticle

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