Hodograph Method for Treating the Flow of a Perfectly Conducting Fluid with Aligned Magnetic Field

抄録

It is shown that the fundamental equations for two-dimensional steady flows of an inviscid, compressible, perfectly conducting gas with aligned magnetic field are reduced to the corresponding ones without magnetic field by making use of a suitable transformation.
In the hodograph plane of these reduced variables, characteristics, a family of exact solutions as well as shock relations are studied in a way similar to the case of ordinary gasdynamics. Numerical calculations are made for the spiral flow.
The shock polar equation is also obtained, with special reference to a few typical shock waves characteristic to magnetogasdynamics.