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The Quarterly Journal of Mechanics and Applied Mathematics 1979 32(1):73-91; doi:10.1093/qjmam/32.1.73
© 1979 by Oxford University Press
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FLOW INDUCED BY A TORSIONALLY OSCILLATING WAVY CYLINDER

P. W. DUCK{dagger}

( Department of Mathematics, Imperial College London )

{dagger} Present address: Department of Aeronautical and Astronautical Engineering, The Ohio State University, Columbus, Ohio 43210, USA

The flow induced by a cylinder, with a small amplitude sinusoidal surface perturbation, torsionally oscillating in an unbounded fluid is considered. In particular the Taylor number is close to its critical value, and the interaction between the forced and the natural solutions is investigated for a number of different wavelengths of surface distortion.


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