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Computational study of flow past a cylinder with combined in-line and transverse oscillation

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Abstract

A computational study of the two dimensional flow past an oscillating cylinder is carried out using vorticity and stream function as the dependent variables. With the use of a log-polar coordinate transformation, the nondimensional vorticity transport equations in a non-inertial frame attached to the cylinder are solved using the ADI and SLOR finite difference schemes. The effects of combined in-line and transverse oscillation of the cylinder in the “lock-in” range of frequency on the time history of the drag and lift are investigated at a Reynolds number of 100. In addition, the influence of position amplitude of the cylinder's transverse oscillation on the lock-in range of frequency, mean drag, amplitude of drag and maximum lift is studied. The time histories of drag and lift forces in the case of combined oscillation are compared with the cases of the cylinder oscillating in the in-line and transverse directions separately. The dominant frequency components in the drag and the lift variations are determined using a Fourier frequency analysis.

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Communicated by S. N. Atluri, 20 October 1994

This research work was financially supported through a University of Windsor Postgraduate Scholarship and grants from the Natural sciences and Engineering Research Council of Canada (Grant Numbers: A-2190 and A-1403).

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Karanth, D., Rankin, G.W. & Sridhar, K. Computational study of flow past a cylinder with combined in-line and transverse oscillation. Computational Mechanics 16, 1–10 (1995). https://doi.org/10.1007/BF00369880

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