THE THEORY OF MAGNETOHYDRODYNAMIC FREE SURFACE WAVES,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1963
- Accession Number
- AD0420695
Entities
People
- L. A. Cass
Organizations
- Cornell University College of Engineering