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The Quarterly Journal of Mechanics and Applied Mathematics 1952 5(1):54-63; doi:10.1093/qjmam/5.1.54
© 1952 by Oxford University Press
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TWO-DIMENSIONAL ROTATIONAL FLOW AT HIGH MACH NUMBER PAST THIN AEROFOILS

F. A. GOLDSWORTHY

( Department of Mathematics, The University Manchester )

In this paper a theory of flow at high Mach number past thin aerofoils is developed and a critical survey of previous papers given. The essential feature of the paper is the establishment of a general similitude, given first by Hayes, which expresses the fact that the problem of determining the two-dimensional flow at high Mach number past a thin aerofoil is in the limit analytically identical with that of unsteady onedimonsional flow produced by the motion of a piston. The error involved here is shown to be a factor of the form Formula, where M0 is the undisturbed stream Mach number. Using this similitude a note on the effect of entropy is given.


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