Accession Number:

AD0755944

Title:

Investigations on the Dynamics of MHD Flows.

Descriptive Note:

Annual technical rept. no. 4, 1 Jan-31 Dec 72,

Corporate Author:

COLORADO STATE UNIV FORT COLLINS DEPT OF PHYSICS

Personal Author(s):

Report Date:

1973-01-15

Pagination or Media Count:

104.0

Abstract:

The report contains theoretical investigations on the steady state dynamics of compressible plasma flows across inhomogeneous magnetic fields in ducts with plane inclined walls diffusers. By means of a similarity transformation, an exact analytical solution in terms of a hyperelliptic integral is derived for the fields of the polytropic flow of a compressible plasma across an azimuthal magnetic field. Mathematical theorems are proven which show the applicability of the similarity transformation to symmetric outflows diffuser flows. A similarity transformation is presented which reduces the general partial differential equations for a plasma flow in a diffuser with viscous momentum transfer, ohmic and viscous heating, and heat conduction to ordinary nonlinear differential equations which are readily integrable by numerical methods. The associated boundary-value problem for the ordinary differential equations is formulated and discussed. Author

Subject Categories:

  • Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE