The Wing-Body Problem for Linearized Supersonic Flow

Citation

Morikawa, George Kiyoshi (1949) The Wing-Body Problem for Linearized Supersonic Flow. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PJZP-YG35. https://resolver.caltech.edu/CaltechETD:etd-01282009-112820

Abstract

This work is concerned with one of the important problems remaining in the theory of linearized supersonic flow: the study of non-planar systems dealing with configurations which cannot be completely solved with the existing theory - in particular, the study of interaction or interference between fuselage and lifting or control surfaces in supersonic flow. In Sections 1.2 and 1.3 the non-planar problems are classified and the problem considered to be the fundamental wing body problem for linearized supersonic flow is presented. In Part II, this and related problems are formulated in a manner suitable for Laplace transform methods and subsequently the transformed solutions are presented in a general form by the Green's function method. Due to the inherent difficulties arising in non-planar problems, related planar problems are solved in Part III. In Part IV, the fundamental wing-body problem is discussed in detail and in the light of the results of Part III an approximate solution (in terms of the pressure) in the region of greatest interest is presented; and a quantitative estimate of the increase in lift due to the interaction between wing and body is indicated.

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