Accession Number : AD0420695

Title :   THE THEORY OF MAGNETOHYDRODYNAMIC FREE SURFACE WAVES,

Corporate Author : CORNELL UNIV ITHACA N Y GRADUATE SCHOOL OF AEROSPACE ENGINEERING

Personal Author(s) : Cass,L. A.

Report Date : SEP 1963

Pagination or Media Count : 102

Abstract : The theory of small amplitude, planar traveling waves on a free surface for an inviscid liquid was extended to include an electrically conducting liquid in an applied (uniform) magnetic field. The equations of magnetohydrodynamics are linearized and manipulated to give a differential equation for the current density. Solution of the current equation leads in a systematic way to velocity, magnetic, electric and pressure fields. The solutions for the free-space region above the free surface and the conducting region below the bottom (horizontal) surface are joined with the solution for the conducting liquid at the common boundaries. Finally, a dispersion relation is derived which has incorporated in it all the pertinent boundary conditions. The dispersion relation is valid for arbitrary, conducuivity, arbitrary depth and arbitrary magnetic field configuration. (Author)

Descriptors :   (*MAGNETOHYDRODYNAMICS, FLUID DYNAMICS), MAGNETIC FIELDS, INCOMPRESSIBLE FLOW, GRAVITY, PARTIAL DIFFERENTIAL EQUATIONS, WATER WAVES, ELECTRIC FIELDS, THEORY, SURFACES

Distribution Statement : APPROVED FOR PUBLIC RELEASE