Investigations on the Dynamics of MHD Flows.
Annual technical rept. no. 4, 1 Jan-31 Dec 72,
COLORADO STATE UNIV FORT COLLINS DEPT OF PHYSICS
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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
- Plasma Physics and Magnetohydrodynamics