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On the Kernel Function of the Integral Equation Relating the Lift and Downwash Distributions of Oscillating Finite Wings in Subsonic Flow

Charles E. WatkinsHarry L. RunyanDonald S. Woolston

出版	National Advisory Committee for Aeronautics, 1954
URL	http://books.google.com.hk/books?id=j4je9xeEpPMC&hl=&source=gbs_api
EBook	FULL_PUBLIC_DOMAIN

註釋This paper treats the kernel function of an integral equation that relates a known or prescribed downwash distribution to an unknown lift distribution for a harmonically oscillating finite wing in compressible subsonic flow. The kernel function is reduced to a from that can be accurately evaluated by separating the kernel function into two parts: a part in which the singularities are isolated and analytically expressed and a nonsingular part which may be tabulated. The form of the kernel function for the sonic case (Mach number of 1) is treated separately. In addition, results for the special cases of Mach number of 0 (incompressible case) and frequency of 0 (steady cases) are given.