On the geometry of magnetohydrodynamic flows

Details On the geometry of magnetohydrodynamic flows On the geometry of magnetohydrodynamic flows

Oct 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.105...33s&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 105, no. 1, Oct. 1984, p. 33-37.

Mathematics

Differential Geometry

3

Flow Geometry, Magnetohydrodynamic Flow, Differential Geometry, Incompressible Flow, Magnetoplasmadynamics, Steady Flow, Vorticity

Scientific paper

Circulation-preserving (CP) and complex-lamellar (CL) motion in a steady incompressible nondissipative MHD flow subjected to a magnetic field of fixed direction is investigated analytically, applying the differential-geometry results of Marris and Passman (1969). The conditions for CP motion are obtained, and it is shown that the Lamb surfaces for CP and CL motion are developables if and only if the vorticity along the streamlines has a constant magnitude.

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