PRANDTL-MEYER FLOW WITH A TRANSVERSE MAGNETIC FIELD.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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The purpose of this study was to solve the classical Prandtl-Meyer flow problem under the influence of a transverse magnetic field. Maxwells equations, the continuity equation, the momentum equation, and the constitutive equations were used in the analytical solution along with geometrical relations. Steady, inviscid, twodimensional, compressible flow was assumed. The plasma was considered to have an infinite electrical conductivity and a constant ratio of specific heats. Solutions were obtained relating the turning angle with the magnetic Mach number and the Karman number. These properties, the magnetic Mach angle, and the gasdynamic Mach number were tabulated in an appendix. It was found that the maximum turning angle decreased as the strength of the magnetic field increased ranging from 130.5 degrees with no magnetic field to 65.88 degrees for an infinite field. Author