ON GOLDSTEIN'S THEORY OF LAMINAR SEPARATION

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Abstract
It is shown that the expansion assumed by Goldstein to describe the flow near separation in a laminar boundary layer is incomplete and that further terms which include powers of logarithms must be added. These terms are individually singular at separation. Although it cannot be inferred that the velocity profile must also be singular at separation, it is suggested that if the boundary layer is to continue downstream of separation the main stream must adjust itself so that these terms cannot appear. The solution may then be continued through separation by means of a power series into a region of reversed flow. However, it is shown that in addition to the power series an infinity of new terms may appear in the solution downstream of separation which is therefore no longer specified uniquely by the mainstream velocity and the velocity profile at the beginning of the boundary layer.

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