Nonlinear break up of an infinite cylinder in the presence of a uniform axial magnetic field

Details Nonlinear break up of an infinite cylinder in the presence of a uniform axial magnetic field Nonlinear break up of an infinite cylinder in the presence of a uniform axial magnetic field

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.181..283c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 181, no. 2, July 1991, p. 283-312.

Astronomy and Astrophysics

Astrophysics

1

Conducting Fluids, Energy Transfer, Gravitational Fields, Incompressible Fluids, Magnetic Field Configurations, Surface Waves, Cylinders, Harmonics, Inviscid Flow, Nonlinearity, Perturbation Theory, Roots Of Equations

Scientific paper

A third-order theory has been developed to study the instability of an infinite cylinder in the presence of a uniform axial magnetic field. By use of strained coordinates, the growth of the surface waves is calculated for wave numbers less than the critical wave number. It is observed that the perturbed surface of an infinite cylinder assumes a non-sinusoidal shape resulting in secondary waves due to energy transfer between the harmonics of different orders.

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