Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The unsteady boundary layer on a cylinder due to small transverse oscillations

Author: D. E. Wilson
Journal: Quart. Appl. Math. 45 (1987), 601-626
MSC: Primary 76D10
DOI: https://doi.org/10.1090/qam/917013
MathSciNet review: 917013
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Abstract: This paper deals with the response of an incompressible laminar boundary layer on a circular cylinder due to small periodic velocity fluctuations. These fluctuations may arise from the motion of the cylinder or be contained within the free stream. A perturbation solution employing the method of matched asymptotic expansions is given for the case of high reduced frequencies. These results are compared to a numerical solution valid for any frequency. In addition, the solution is compared to the classical result of Glauert [7] valid only at the stagnation point.

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DOI: https://doi.org/10.1090/qam/917013
Article copyright: © Copyright 1987 American Mathematical Society

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