Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

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
Full-text PDF Free Access

Abstract | Similar Articles | Additional Information

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.


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 76.1X

Retrieve articles in all journals with MSC: 76.1X


Additional Information

DOI: https://doi.org/10.1090/qam/30396
Article copyright: © Copyright 1949 American Mathematical Society


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2017 Brown University
Comments: qam-query@ams.org
AMS Website