Abstract
Following the first report, the author tries to represent the oscillating velocity field of Navier-Stokes equation following Oseen's scheme in two-dimension by introducing a linear oscillating kernel function and the reciprocity theorem.The reciprocity theorem might serve as a tool for an approximate method to solve the boundary value problem and the eigen-value problem.For two examples on the hydrodynamic stability of laminar boundary layer and Karmanvortex street in the wake of a cylinder, the proposed method of approximation has made fit well the upper curve of the famous neutral stability of the laminar boundary layer and succeed to predict Strouhal number of a circular cylinder.
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More From: Journal of the Society of Naval Architects of Japan
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