Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



The resistance on a circular cylinder in an oscillating stream

Author: Chang-Yi Wang
Journal: Quart. Appl. Math. 23 (1966), 305-312
DOI: https://doi.org/10.1090/qam/99939
MathSciNet review: QAM99939
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Abstract | References | Additional Information

Abstract: The boundary layer equations, formulated in cylindrical polar coordinates, are applied to a circular cylinder in a slightly viscous stream which is oscillating with a high reduced frequency. The resistance is correctly calculated to the second order. The first order part, 45$ ^\circ$ out of phase, is due to the interaction of viscosity with acceleration. The second order part, --90$ ^\circ$ out of phase, is due to the interaction of viscosity with curvature. The interaction of viscosity with inertia, which is of second order also, contributes no resistance.

References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/99939
Article copyright: © Copyright 1966 American Mathematical Society

American Mathematical Society