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The Quarterly Journal of Mechanics and Applied Mathematics 1948 1(1):358-364; doi:10.1093/qjmam/1.1.358
© 1948 by Oxford University Press
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THE BEHAVIOUR OF THE VELOCITY ALONG A STRAIGHT CHARACTERISTIC IN STEADY IRROTATIONAL ISENTROPIC FLOW WITH AXIAL SYMMETRY

M. HOLT

( Department of Mathematics, The University Manchester )

In this paper attention is confined to the steady irrotational isentropic flow of a perfect gas at supersonic speeds, in particular, flow in which one characteristic is straight. In two dimensions any characteristic along which the velocity is constant in magnitude and direction is straight and, conversely, if a characteristic is straight the velocity must be constant along it; in three-dimensional flow with axial symmetry the velocity along a straight characteristic is not generally constant but varies according to a definite relation with the radial distance. We establish this relation and describe the types of flow corresponding to it.


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