ON THE THEORY OF OSCILLATIIIG AIRFOILS OF FINITE SPAN IN SUBSONIC COMPRESSIBLE FLOW’ By ERIC REISS.N~R SUMMARY

The problem of the oscillating tijting surface ofjinite span in subsonic compressible jlow is reduced to an integral equati”o.n. The kernel of the integral equation is approm”mated by a simpler expression, on the ba$is of the assumption of suj%iently large aspeet ratio. With this approximation the double integral occurring in the f ormulution oj the problem i-s reduced to two single integrak, one of which is taken orer i!he chord and the other ocer the span of the lifting surjace. On the bum-s of thi~ reduction the threedimensianal problem appears separated into two twodimensional problems, one of them being effectively the problem of ihoodimensionul$ow and.the other being the problem of spanwise-eirculatiun di-stn”bution. Earlier results cxmc.wn-,ing the osm”Ua.tingiijling surface oj jitiite span in incom-pressible $OW are contained in the present more general results