Accession Number:

AD0607999

Title:

MAGNETOHYDRODYNAMIC VORTICES,

Descriptive Note:

Corporate Author:

TRW SPACE TECHNOLOGY LABS LOS ANGELES CALIF

Personal Author(s):

• LEWELLEN,W. S.

Report Date:

1960-05-31

Pagination or Media Count:

37.0

Abstract:

A magnetohydrodynamic body force is considered in interaction with a two-dimensional vortex in a viscous, conducting fluid. The equations governing the motion are presented and briefly discussed. Applied magnetic and electric fields are chosen in accordance with Maxwells equations and in such a way as to yield a tangential body force. It is shown that whenever the magnetic Reynolds number based on the radial velocity component is much less than one, the tangential body force due to the induced magnetic field can be neglected in comparison with that due to the applied. For these conditions the problem reduces to that of solving a second-order, linear differential equation for the tangential velocity. Analytic solutions are found for different cases. The fundamental dimensionless parameters in each case are the Hartmann number, the Reynolds number based on the radial mass flow, and the ratio of the applied to the induced electric field. The results are plotted for reasonable values of these parameters. The effect of the applied magnetic and electric fields on the temperature and pressure distributions in a steady, axisymmetric, compressible vortex is presented. Author

Descriptors:

• VORTICES
• MAGNETOHYDRODYNAMICS
• PLASMAS(PHYSICS)
• MAGNETIC FIELDS
• ELECTRIC FIELDS
• FLUID FLOW
• REYNOLDS NUMBER
• DIFFERENTIAL EQUATIONS
• NUMERICAL INTEGRATION

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE