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Concept of field modes and the behavior of the magnetohydrodynamic field

Clauser, Francis H. (1963) Concept of field modes and the behavior of the magnetohydrodynamic field. Physics of Fluids, 6 (2). pp. 231-253. ISSN 0031-9171. doi:10.1063/1.1706722.

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A method for studying the behavior of fields by splitting their behavior into independent field modes is presented. The method is used to explore the characteristics of steady, two-dimensional, linearized magnetohydrodynamic fields with finite viscosity and resistivity and arbitrary orientation of the magnetic vector relative to the velocity vector.It is shown that in general boundary layers and wakes cease to exist in magnetohydrodynamics. Their place is taken by diffusing waves which, in reality, are the fields of a set of viscous-resistive sources, vortices, poles and currents whose field lines are strongly oriented along the characteristic wave directions. When the viscosity and resistivity are equal, these waves diffuse in a simple and independent way, but when these quantities are not equal, the diffusing waves generate a new kind of wake which is located, veil-like, in the fan-shaped region between the two wave directions. These wakes are fed from the differential diffusion of the primary waves. In the special case for which the resistivity is much greater than the viscosity, a new type of pseudo boundary layer is shown to exist in the velocity field. When the viscosity is much greater than the resistivity, this pseudo boundary layer occurs in the magnetic field.

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Additional Information:©1963 The American Institute of Physics. Received 3 July 1962; revised 14 November 1962. This research was supported by the U.S. Air Force Office of Scientific Research of the Air Research and Development Command, under Contract number AF 49(638)-496.
Issue or Number:2
Record Number:CaltechAUTHORS:CLApof63
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9892
Deposited By: Archive Administrator
Deposited On:26 Mar 2008
Last Modified:08 Nov 2021 21:03

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