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Numerical simulation of three-dimensional instability of flow past a short cylinder

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Abstract

The plane-parallel flow past an infinitely long circular cylinder becomes three-dimensional starting with Reynolds numbers Re ≈ 190. The corresponding instability mode is called mode A. When Re ≈ 260, vortex structures with a smaller cross scale are formed in the wake as a result of a secondary three-dimensional instability (mode B). The transition to three-dimensionality for a short cylinder bounded by planes is considered. The length of the cylinder is chosen to eliminate the unstable perturbations of mode A. Two instability modes similar to modes A and B modified under the effect of the bounding lateral planes are found. The problems of three-dimensional flow are numerically solved using the Navier-Stokes equations.

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Correspondence to A. I. Aleksyuk.

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Original Russian Text © A.I. Aleksyuk, V. P. Shkadova, V.Ya. Shkadov, 2016, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2016, Vol. 71, No. 1, pp. 25–30.

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Aleksyuk, A.I., Shkadova, V.P. & Shkadov, V.Y. Numerical simulation of three-dimensional instability of flow past a short cylinder. Moscow Univ. Mech. Bull. 71, 1–6 (2016). https://doi.org/10.3103/S0027133016010015

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  • DOI: https://doi.org/10.3103/S0027133016010015

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