GENERALIZED SELF-SIMILARITY AND SOLUTIONS FOR MAGNETOGASDYNAMIC FREE JETS.
Abstract
The method of self-similar solutions has been shown to be a powerful analytical tool in the investigation of the mixing region of a laminar two-dimensional magnetogasdynamic jet which is freely expanding into an unbounded stagnant region. The general conditions under which self-similitude can be expected are investigated. Two undocumented solutions are shown to be available: (1) The subsonic gasdynamic free jet with non-unitary Prandtl number and a viscosity which is proportional to the square root of temperature. Solution to this problem is given in closed form in the 'incompressible' von Mises solution plane with a transformation back to physical coordinates accomplished by numerical integration. (2) The subsonic magnetogasdynamic free jet with non-unitary Prandtl number, a viscosity which is proportional to the square root of temperature, and an electrical conductivity which is proportional to the square root of the temperature cubed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1944
- Accession Number
- AD0608170
Entities
People
- William F. Hug
Organizations
- Northwestern University