Notes on the geometry of magnetic field lines

Details Notes on the geometry of magnetic field lines Notes on the geometry of magnetic field lines

Apr 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ap%26ss.143..359p&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 143, no. 2, April 1988, p. 359-366.

Astronomy and Astrophysics

Astrophysics

Conducting Fluids, Flow Equations, Magnetic Field Configurations, Magnetohydrodynamic Flow, Two Phase Flow, Magnetic Flux, Rotating Fluids, Three Dimensional Flow

Scientific paper

The orthogonal flow of steady, rotating, viscous, incompressible, perfectly conducting two-phase fluid flow in the presence of a magnetic field has been modelled by using a nonholonomic description of the governing equations. The governing equations are decomposed along the magnetic line triads. It is demonstrated that for the orthogonal flow of a rotating two-phase fluid where the vortex lines are along the binormals of the magnetic field lines with flat field restrictions, the Bernoulli surfaces contain the vortex lines if, and only if, the magnitude of fluid velocity is equal to the dust velocity.

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