Some geometric properties of a dusty fluid in MFD flows

Details Some geometric properties of a dusty fluid in MFD flows Some geometric properties of a dusty fluid in MFD flows

Oct 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.105..237s&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 105, no. 2, Oct. 1984, p. 237-244.

Astronomy and Astrophysics

Astrophysics

3

Dust, Flow Geometry, Laminar Flow, Magnetohydrodynamics, Two Phase Flow, Cosmic Dust, Flow Equations, Lines Of Force, Viscous Flow, Vortices

Scientific paper

The complex lamellar motion of a viscous incompressible perfectly conducting dusty fluid in a magnetic field is investigated analytically. The equations of motion are constructed and decomposed along the vortex-line triad by applying a nonholonomic geometric approach analogous to that of Marris and Passman (1969), Rogers and Kingston (1974), and Singh and Singh (1984), and five theorems are proved. The Maxwellian surfaces are shown to be minimal surfaces, and the vortex lines are found to be straight lines normal to these surfaces for the case in which the magnetic field lines lie in the normal planes of the vortex lines.

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