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Direct Numerical Simulation of Vortex Shedding Behind a Linearly Tapered Circular Cylinder

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Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 14))

Abstract

The three-dimensional transition to turbulence in the wake of a tapered circular cylinder with the taper ratio 75:1 has been analyzed by performing direct numerical simulation. The Reynolds number based on the uniform inflow velocity and the diameters at the wide and narrow ends were 300 and 102, respectively. The same Reynolds number range was previously studied by Parnaudeau et al. (J. Turbulence, 2007) but with a different taper ratio 40:1. The effect of taper ratio on the transition to turbulence was investigated in the present study. It was found that the Strouhal number versus Reynolds number curves nearly collapse, thereby indicating that a change in the taper ratio by a factor of two has only a modest effect on the Strouhal number. However, there still exists a significant contrast in the cellular shedding pattern. Flow-visualization of instantaneous λ2-structures and the enstrophy ǀ ω ǀ revealed that the mode A instability appeared around Re ≈ 200 and mode B around Re ≈ 250.

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Acknowledgments

This work has received support from The Research Council of Norway (Programme for Supercomputing) through a grant of computing time. The first author was the recipient of a research fellowship offered by The Research Council of Norway.

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Correspondence to H. I. Andersson .

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Narasimhamurthy, V.D., Andersson, H.I., Pettersen, B. (2009). Direct Numerical Simulation of Vortex Shedding Behind a Linearly Tapered Circular Cylinder. In: Braza, M., Hourigan, K. (eds) IUTAM Symposium on Unsteady Separated Flows and their Control. IUTAM Bookseries, vol 14. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9898-7_17

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