On an Alternative Method of Numerically Evaluating the Linearized Problem of an Impulsively Moving Flat Plate in a Rarefied Gas Flow

摘要

In the Rayleigh problem formulated according to the BGK kinetic model, the flow field is described by a singular integral equation of the Fredholm type. The singularity appears not only as a limit of integration, but also in the kernel. Since the singularity in the kernel is of the logarithmic type, Luke's weight coefficients for evaluating an integral near a logarithmic singularity are applied to solve the integral equation numerically. The successful evaluation of the integral equation on an IBM 7094 demonstrates the generality of the method. (Author)