Abstract
For the motions caused by the uniform expansion of a cylinder or sphere into still air, and for steady symmetrical supersonic flow past a cone, first approximations are obtained to the strength and position of the shock-wave for small disturbances. It is also shown what are the correct approximations to the pressure on the surfaut-. The work is mathematically rigorous, and provides some justification of approximate methods that have been used, for example, in the general theory of supersonic flow past bodies of revolution.
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