Low-Reynolds-Number Flow around an Impulsively Started Rotating and Translating Circular Cylinder

Yoshiaki Ueda Teruhido Kida Masato Nakanishi Antoine Sellier 1, *
* Corresponding author
1 LadHyX - Laboratoire d'hydrodynamique
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.
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https://hal-polytechnique.archives-ouvertes.fr/hal-01025948
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Submitted on : Friday, July 18, 2014 - 7:27:01 PM
Last modification on : Wednesday, March 27, 2019 - 4:39:25 PM

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Yoshiaki Ueda, Teruhido Kida, Masato Nakanishi, Antoine Sellier. Low-Reynolds-Number Flow around an Impulsively Started Rotating and Translating Circular Cylinder. Transactions of the Japan Society of Mechanical Engineers Series B, 2001, 67 (659), pp.1626-1633. ⟨10.1299/kikaib.67.1626⟩. ⟨hal-01025948⟩

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