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: 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.
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H. Schlichting, Berechnung ebener periodischer Grenzschichtströmungen Physikalische Z. 33, (1932) 97.
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C. Y. Wang, On the separation time of the flow past a circular cylinder which is started from rest, to be published in J. Math, and Phys. (1965)
- Lee A. Segel, A uniformly-valid asymptotic expansion of the solution to an unsteady boundary-layer problem, J. Math. and Phys. 39 (1960), 183–197. MR 129676
C. Y. Wang, The flow induced by an oscillating sphere, J. of Sound and Vibration, 2 (3), 257 (1965)
L. Rosenhead, ed., Laminar boundary layers, Oxford University Press, Great Britain, 1963
H. Schlichting, Berechnung ebener periodischer Grenzschichtströmungen Physikalische Z. 33, (1932) 97.
H. Blasius, Grenzschichten in Flüssigkeiten mit kleiner Reibung, Zeit. Math. u. Phys. 56 (1908) 1, NCA TM No. 1256
C. Y. Wang, On the separation time of the flow past a circular cylinder which is started from rest, to be published in J. Math, and Phys. (1965)
L. A. Segel, A uniformly valid asymptotic expansion of the solution to an unsteady boundary layer problem, J. Math, and Phys. 39 (1960) 189
C. Y. Wang, The flow induced by an oscillating sphere, J. of Sound and Vibration, 2 (3), 257 (1965)
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Article copyright:
© Copyright 1966
American Mathematical Society
