A STUDY OF ONE-DIMENSIONAL MAGNETOGASDYNAMICS.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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Five flows in steady one-dimensional magnetogasdynamics have been studied. These five flows are Fanno flow Rayleigh flow Isentropic flow with area change Flow with combined heat transfer, wall friction and area change and Magnetogasdynamic normal shock. The flow variables exhibit a discontinuity where the magnetic Mach number M sub m is equal to one. An entropy maximum occurs at this point. The Karman number K is used to define the flow regions in onedimensional magnetogasdynamics just as Mach number defines the flow regions in gasdynamics. The Karman number K at M sub m1 is the critical Karman number for the magnetogasdynamic flow. In one-dimensional magnetogasdynamic Fanno flow the pressure and temperature exhibit maxima in the subcritical region KK. The Mach number has a minimum in the subcritical region. This behavior does not occur in gasdynamic Fanno flow. In one-dimensional magnetogasdynamic Rayleigh flow, Mach number has a minimum, pressure a maximum and temperature a maximum in the subcritical region. Gasdynamic Rayleigh flow exhibits a temperature maximum for M1 that is similar to the magnetogasdynamic temperature maximum. The analysis of isentropic flow with area change is found to involve the integration of a first order differential equation known as the Darboux equation. This integration has not been accomplished. It is seen that the magnetogasdynamic flow with area change, heat transfer and wall friction can be formulated. The magnetogasdynamic equations for this combined flow reduce identically to the gasdynamic equations as the magnetic field goes to zero. Author