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Journal Articles Transactions of the Japan Society of Mechanical Engineers Series B Year : 2001

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

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Yoshiaki Ueda
  • Function : Author
Teruhido Kida
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Masato Nakanishi
  • Function : Author

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.

Dates and versions

hal-01025948 , version 1 (18-07-2014)

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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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