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Vortex shedding from cylinders with two step discontinuities in diameter

Published online by Cambridge University Press:  14 September 2020

Chris Morton Open the ORCID record for Chris Morton [Opens in a new window]  and
S. Yarusevych
Chris Morton*
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta, Canada
S. Yarusevych
Affiliation:
Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, Ontario, Canada
*
†Email address for correspondence: chris.morton@ucalgary.ca
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Abstract

A dual-step cylinder is a canonical geometry commonly encountered in many practical flows. It consists of a large diameter cylinder ($D$) attached coaxially to the mid-span of a small diameter cylinder ($d$). This work provides a comprehensive description of the flow development, classifies common wake regimes and considers the associated structural loading on a dual-step cylinder. The influence of the aspect ratio of the large diameter cylinder ($L/D$) and diameter ratio ($D/d$) is studied experimentally for a Reynolds number of $Re_D = 2100$, $1.33\leq D/d \leq 4$ and $0.2\leq L/D \leq 5$. The flow evolution and structural loading are quantified via a combination of flow visualization, Laser Doppler velocimetry, particle image velocimetry measurements and multi-component force balance measurements. Through a detailed analysis of the results, six distinct flow regimes are identified based on observed changes in the flow development downstream of the large diameter cylinder. The findings are distilled into a map of flow regimes that provides a framework for analysis of the dual-step cylinder wakes and incorporates limiting cases of this geometry, namely, uniform circular cylinders, cantilevered cylinders, cylinders with two free ends, coin-like cylinders and single-step cylinders. The identified flow regimes are also related to changes in structural loading.

JFM classification

Wakes/Jets: Separated flows Vortex Flows: Vortex dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 902 , 10 November 2020 , A29
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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Morton and Yarusevych supplementary movie

Hydrogen bubble flow visualization of shear layer instabilities within the IS regime for a dual step cylinder at ReD = 2100, D=d = 2:67, and L=D = 3.

Download Morton and Yarusevych supplementary movie(Video)
Video 9.8 MB

Morton and Yarusevych supplementary movie

Hydrogen bubble flow visualization of vortex shedding from a dual step cylinder in the NS Regime at ReD = 2100, D=d = 2, and L=D = 0:2.
Download Morton and Yarusevych supplementary movie(Video)
Video 32 MB

Morton and Yarusevych supplementary movie 3

Hydrogen bubble flow visualization of vortex shedding from a dual step cylinder in the IS Regime at ReD = 2100, D=d = 2, and L=D = 3.

Download Morton and Yarusevych supplementary movie 3(Video)
Video 22 MB

Morton and Yarusevych supplementary movie 4

Hydrogen bubble flow visualization of vortex shedding from a dual step cylinder in the HFS Regime at ReD = 2100, D=d = 2, and L=D = 1.

Download Morton and Yarusevych supplementary movie 4(Video)
Video 21 MB