Investigations on the Dynamics of MHD Flows.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 15, 1973
- Accession Number
- AD0755944
Entities
People
- Horst E. Wilhelm
Organizations
- Colorado State University