The resistance on a circular cylinder in an oscillating stream

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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 ∘ 45^\circ out of phase, is due to the interaction of viscosity with acceleration. The second order part, − 90 ∘ -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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