Flow of a compressible fluid about a cylinder

Abstract

In this paper, a family of exact* solutions is found for the two-dimensional flow of a compressible perfect fluid about a cylinder. The present work is restricted to the case where the circulation is zero and the speed at large distances from the cylinder is subsonic; but there is no restriction that the speed near the cylinder be subsonic. In a later paper I hope to remove these restrictions, which are not essential to the theory. The family of solutions involves an infinite set of constants, upon the values of which depends the shape of the cylinder; but the question of so disposing these constants as to suit a prescribed shape is not here entered upon.