A THEORETICAL STUDY OF NONEQUILIBRIUM FLOWS PAST POINTED BODIES.
RENSSELAER POLYTECHNIC INST TROY N Y
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The problems of nonequilibrium supersonic flows past a wedge and a cone with attached shock waves are analyzed by Dorodnitsyns integral method. The gas may undergo either vibrational or chemical relaxation, and the uniform free stream need not be in equilibrium. The numerical integration of the nonlinear ordinary differential equations obtained by applying the integral method is carried out subject to a stability criterion governing the step size. From the behavior of the approximate equations far downstream, it is noted that correct asymptotic values for certain flow variables on the surface cannot be obtained. It is shown that within a region where the flow behind the attached shock wave is subsonic, the solutions are not analytic, and the expansion procedure for the flow variables is no longer valid. The results computed for the vibrationally relaxing flow past a wedge are generally in close agreement with the corresponding results of method of characteristics. If the flow behind the shock is only slightly out of equilibrium, the approximate equations may be further simplified by linearization. Author
- Fluid Mechanics