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

出版	National Advisory Committee for Aeronautics, 1955
URL	http://books.google.com.hk/books?id=p566PQAACAAJ&hl=&source=gbs_api

註釋This paper treats the kernel function of the integral equation that relates a known or prescribed downwash distribution to an unknown lift distribution for harmonically oscillating wings in supersonic flow. The treatment is essentially an extension to supersonic flow of the treatment given in NACA TN 3131 for subsonic flow. For the supersonic case the kernel function is derived by use of a suitable form of acoustic doublet potential which employs a cutoff or Heaviside unit function. The kernel functions are reduced to forms that can be accurately evaluated by considering the functions in two parts: a part in which the singularities are isolated and analytically expressed, and a nonsingular part which can be tabulated.