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The Quarterly Journal of Mechanics and Applied Mathematics 1959 12(3):298-313; doi:10.1093/qjmam/12.3.298
© 1959 by Oxford University Press
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THE FLOW PAST A CLOSED BODY IN A HIGH SUBSONIC STREAM

J. B. HELLIWELL and A. G. MACKIE

( (The Royal College of Science and Technology Glasgow)
(St. Salvator's College, University of St. Andrews) )

A solution of Tricomi's equation is obtained for the flow past a thin, doubly symmetric body placed at zero incidence in a high subsonic stream in which sonic velocity is attained along a segment of the body. This flow is the compressible analogue of the Biabouchinsky model for incompressible fluids. The singularity in the hodograph plane corresponding to the point at infinity in the physical plane is essentially different from that which occurs in other similar problems. The boundary value problem is of mixed type and this is shown to lead to a pair of dual integral equations for which the solution is obtained. Numerical results are given which specify the dimensions of the body corresponding to a range of incident Mach numbers. By symmetry the total drag on the body is zero.


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