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Type of Document	Dissertation
Author	Malmuth, Norman David
URN	etd-12152005-133232
Persistent URL	http://resolver.caltech.edu/CaltechETD:etd-12152005-133232
Title	Perturbations on hypersonic wedge flow
Degree	PhD
Option	Aeronautics
Advisory Committee	Advisor Name Title Julian D. Cole Committee Chair
Keywords	none
Date of Defense	1962-01-01
Availability	unrestricted
Abstract The hypersonic inviscid flow over a configuration representing a small perturbation about a two-dimensional wedge is analyzed. Equations and boundary conditions are obtained for a class of general perturbations within the framework of Hypersonic Small Disturbance Theory. A specialization of this formulation is made to the case where the resultant perturbation consists of semi-infinite flat plates of slightly different incidence to the freestream. The flow over such a shape is divided into an outlying uniform region and a central conefield. Here, the outlying, uniform region solution is found to be trivial. The determination of the conefield gives rise to an elliptic boundary value problem which is solved with the aid of the Tschaplygin transformation and other conformal mappings. Calculations are presented using the Fourier series solution for the perturbation pressure indicating the surface loads associated with the perturbation as well as the shock distortion function. Integral representations are obtained for the downwash and sidewash perturbations using the pressure solution. The results are compared qualitatively with an analogous linear supersonic flow. Finally, a solution for more general profiles is obtained under the further restriction that the specific heat ratio [gamma] is close to one. This solution is specialized to the case considered previously and a qualitative evaluation of the physical significance of the results is made.
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