A review of rotating cylinder wake transitions

Anirudh Rao, Alexander Radi, Justin Scott Leontini, Mark Christopher Thompson, John Sheridan, Kerry Hourigan

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Recent work on the flow past a rotating cylinder is reviewed and further investigated at low Reynolds numbers. The various two- and three-dimensional transitions that occur as the rotation rate is increased are detailed. Two steady states, steady state I and steady state II, are identified based on the physical characteristics of the wake and the drag force on the body. Steady state I occurs at lower rotation rates, while state steady state II occurs at higher rotation rates. Linear stability analysis shows that two three-dimensional modes become unstable on steady state I and steady state II. Floquet stability analysis of the unsteady base flows that occur at very low rotation rates shows the presence of five three-dimensional modes. The curves of marginal stability are presented, followed by a comparison of numerical simulations to their experimentally obtained counterparts. Furthermore, the spatio-temporal characteristics of each mode and the likely underlying physical mechanisms are briefly discussed.
Original languageEnglish
Pages (from-to)2 - 14
Number of pages13
JournalJournal of Fluids and Structures
Volume53
DOIs
Publication statusPublished - 2015

Keywords

  • Wakes
  • Flow stability
  • Vortexstreet
  • Transition

Cite this

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abstract = "Recent work on the flow past a rotating cylinder is reviewed and further investigated at low Reynolds numbers. The various two- and three-dimensional transitions that occur as the rotation rate is increased are detailed. Two steady states, steady state I and steady state II, are identified based on the physical characteristics of the wake and the drag force on the body. Steady state I occurs at lower rotation rates, while state steady state II occurs at higher rotation rates. Linear stability analysis shows that two three-dimensional modes become unstable on steady state I and steady state II. Floquet stability analysis of the unsteady base flows that occur at very low rotation rates shows the presence of five three-dimensional modes. The curves of marginal stability are presented, followed by a comparison of numerical simulations to their experimentally obtained counterparts. Furthermore, the spatio-temporal characteristics of each mode and the likely underlying physical mechanisms are briefly discussed.",
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A review of rotating cylinder wake transitions. / Rao, Anirudh; Radi, Alexander; Leontini, Justin Scott; Thompson, Mark Christopher; Sheridan, John; Hourigan, Kerry.

In: Journal of Fluids and Structures, Vol. 53, 2015, p. 2 - 14.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - A review of rotating cylinder wake transitions

AU - Rao, Anirudh

AU - Radi, Alexander

AU - Leontini, Justin Scott

AU - Thompson, Mark Christopher

AU - Sheridan, John

AU - Hourigan, Kerry

PY - 2015

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AB - Recent work on the flow past a rotating cylinder is reviewed and further investigated at low Reynolds numbers. The various two- and three-dimensional transitions that occur as the rotation rate is increased are detailed. Two steady states, steady state I and steady state II, are identified based on the physical characteristics of the wake and the drag force on the body. Steady state I occurs at lower rotation rates, while state steady state II occurs at higher rotation rates. Linear stability analysis shows that two three-dimensional modes become unstable on steady state I and steady state II. Floquet stability analysis of the unsteady base flows that occur at very low rotation rates shows the presence of five three-dimensional modes. The curves of marginal stability are presented, followed by a comparison of numerical simulations to their experimentally obtained counterparts. Furthermore, the spatio-temporal characteristics of each mode and the likely underlying physical mechanisms are briefly discussed.

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