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Low-Reynolds-Number Flow around an Impulsively Started Rotating and Translating Circular Cylinder
Abstract : This paper describes the two-dimensional unsteady low-Reynolds-number flow past an impulslvely started rotating and translating circular cylinder. Invoking the vorticity equation, we first derive a system of two coupled integral equations that govern the stream function and a modified vorticity function. This system, singular in the low-Reynolds-number, is then asymptotically solved by using a singular perturbation method and introducing five regions in the space-time domain. The first-order solutions are found to linearly depend on the translating and rotating motions within each region. Because of its importance for applications, a special attention is paid to the lift coefficient CL which results here from intricate interactions between rotation and translation. The obtained initial asymptotic behavior of CL actually exhibits a t-1/2 singularity and thereby differs from the prediction of Badr & Dennis(1) at moderate Reynolds numbers.
https://hal-polytechnique.archives-ouvertes.fr/hal-01025948
Contributor : Denis Roura <>
Submitted on : Friday, July 18, 2014 - 7:27:01 PM
Last modification on : Thursday, March 5, 2020 - 6:29:31 PM
Contributor : Denis Roura <>
Submitted on : Friday, July 18, 2014 - 7:27:01 PM
Last modification on : Thursday, March 5, 2020 - 6:29:31 PM
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