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The Quarterly Journal of Mechanics and Applied Mathematics 1949 2(1):75-97; doi:10.1093/qjmam/2.1.75
© 1949 by Oxford University Press
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SUPERSONIC FLOW PAST SLENDER POINTED BODIES{dagger}

G. N. WARD

( Department of Mathematics, The University Manchester )

By assuming irrotational inviscid flow of a perfect gas moving past slender pointed bodies at supersonic speeds, the limiting values of the aerodynamic force coefficients as the thickness tends to zero are determined for bodies of general cross-section. The expression for the drag coefficient at zero incidence is the same as that for a body of revolution when expressed in terms of the cross-sectional area at any point. The lateral force coefficients and the extra drag coefficient at incidence depend only on the shape of the base section.

The general results are applied to the problem of a body of revolution carrying wings of small aspect ratio, and the interference between the body and the wings is determined; this leads to a particularly simple expression for the lift in terms of the lift of the wing alone and that of the body alone which, it is suggested, may apply approximately to any wing system on a body of revolution.



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