抄録
In this paper the method of thin-wing-expansion which has been developed by the author is applied to the case of a uniform flow of a compressible fluid past an arbitrary cylinder in the case of the absence of sources, sinks and circulation. The asymptotic expressions for the velocity potential and the stream function at a great distance, r, from the cylinder are determined correctly to the order of 1/r4. Hence the velocity can be found exactly to the order of 1/r5. This should be compared with Gröbner’s result which is correct to the order of 1/r4 and is restricted to the case of a cylinder symmetrical with respect to the x-axis. Moreover, the present analysis is far simpler than Gröbner’s one in view of the fact that the former requires only some elementary quadratures while the latter the integration of a system of differential equations.
Finally, it is shown that the general expression for the velocity potential is in accord with the author’s previous result for flow past a circular cylinder, which is correct to the order of M6, M being the Mach number.
