NDLI: Strouhal Number for VIV Excitation of Long Slender Structures

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Strouhal Number for VIV Excitation of Long Slender Structures

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Andrew, E. Potts Douglas, A. Potts Marcollo, Hayden Jayasinghe, Kanishka
Copyright Year	2018
Abstract	The prediction of Vortex-Induced Vibration (VIV) of cylinders under fluid flow conditions depends upon the eddy shedding frequency, conventionally described by the Strouhal Number. The most commonly cited relationship between Strouhal Number and Reynolds Number for circular cylinders was developed by Lienhard [1], whereby the Strouhal Number exhibits a consistent narrow band of about 0.2 (conventional across the sub-critical Re range), with a pronounced hump peaking at about 0.5 within the critical flow regime. The source data underlying this relationship is re-examined, wherein it was found to be predominantly associated with eddy shedding frequency about fixed or stationary cylinders. The pronounced hump appears to be an artefact of the measurement techniques employed by various investigators to detect eddy-shedding frequency in the wake of the cylinder. A variety of contemporary test data for elastically mounted cylinders, with freedom to oscillate under one degree of freedom (i.e. cross flow) and two degrees of freedom (i.e. cross flow and in-line) were evaluated and compared against the conventional Strouhal Number relationship. It is well established for VIV that the eddy shedding frequency will synchronise with the near resonant motions of a dynamically oscillating cylinder, such that the resultant bandwidth of lock-in exhibits a wider range of effective Strouhal Numbers than that reflected in the narrow-banded relationship about a mean of 0.2. However, whilst cylinders oscillating under one degree of freedom exhibit a mean Strouhal Number of 0.2 consistent with fixed/stationary cylinders, cylinders with two degrees of freedom exhibit a much lower mean Strouhal Number of around 0.14–0.15. Data supports the relationship that Strouhal Number does slightly diminish with increasing Reynolds Number. For oscillating cylinders, the bandwidth about the mean Strouhal Number value appears to remain largely consistent. For many practical structures in the marine environment subject to VIV excitation, such as long span, slender risers, mooring lines, pipeline spans, towed array sonar strings, and alike, the long flexible cylinders will respond in two degrees of freedom, where the identified difference in Strouhal Number is a significant aspect to be accounted for in the modelling of its dynamic behaviour.
Sponsorship	Ocean, Offshore and Arctic Engineering Division
File Format	PDF
ISBN	9780791851241
DOI	10.1115/OMAE2018-77433
Volume Number	Volume 5: Pipelines, Risers, and Subsea Systems
Conference Proceedings	ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering
Language	English
Publisher Date	2018-06-17
Publisher Place	Madrid, Spain
Access Restriction	Subscribed
Subject Keyword	Degrees of freedom Arches Fluid dynamics Pipelines Reynolds number Mooring Locks (waterways) String Flow (dynamics) Modeling Circular cylinders Vortex-induced vibration Pipeline risers Cross-flow Eddies (fluid dynamics) Wakes Resonance Excitation Risers (casting) Cylinders
Content Type	Text
Resource Type	Article

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