The application of the PLK method to the incompressible laminar axisymmetric far wake

by Stanley A. Berger

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A demonstration of how the correct asymptotic solution for the incompressible axisymmetric wake far behind a long, thin cylinder can be obtained by using Lighthill's technique (the PLK method, or method of strained coordinates) for rendering approximations uniformly valid. Asymptotic expansion in inverse powers of the axial distance, x, downstream was previously found to break down because of the existence of a logarithmic term in the second-order approximation. The study should be of interest to those concerned with the solution of singular perturbation problems and with the problems of wake flow.

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