A note on a solution of Possio’s integral equation for an oscillating airfoil in subsonic flow
Author:
John W. Miles
Journal:
Quart. Appl. Math. 7 (1949), 213-216
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/30396
MathSciNet review:
30396
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Abstract: Following a procedure analogous to that used by Schwarz for solving the integral equation for an oscillating airfoil in incompressible flow, a method of attack on the same problem for subsonic, compressible flow is outlined. The circulation and kernel to the circulation integral equations are expanded in series with the coefficients ${M^{2n}}$ and ${M^{2n}}$ ln $M$, and a corresponding expansion for the Green’s function is thereby implicitly determined. The solution up to (but not including) terms of $O\left ( {{M^4},{M^4}\ln M} \right )$ is stated. A method of iteration for improving a given solution is also indicated.
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Article copyright:
© Copyright 1949
American Mathematical Society