A review of rotating cylinder wake transitions |
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| Institution: | 2. Department of Mechanical Engineering and Product Design Engineering, Swinburne University of Technology, John St, Hawthorn 3162, Australia;3. Division of Biological Engineering, Monash University, Clayton 3800, Australia;1. University of Genova 1 via Montallegro, Italy;2. Monash University, Australia;3. Monash University, Australia;4. Institut de Mécanique des Fluides de Toulouse, France;1. TPN, Department of Naval Architecture and Ocean Engineering, Escola Politécnica, University of São Paulo, Av. Prof. Mello Moraes, 2231, Cidade Universitária, São Paulo, SP 05508-030, Brazil;2. NDF, Department of Mechanical Engineering, Escola Politécnica, University of São Paulo, Av. Prof. Mello Moraes, 2231, Cidade Universitária, São Paulo, SP 05508-030, Brazil;1. I3M, Université Montpellier 2, Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier, France;2. Dipartimento di Ingegneria Aerospaziale, Università di Pisa, Via G. Caruso 8, 56122 Pisa, Italy;3. LEMMA, 2000 Route des Lucioles, 06902 Sophia-Antipolis, France;4. INRIA, 2004 Route des lucioles, BP 93, 06902 Sophia Antipolis, France;1. School of Mechanical, Aerospace and Civil Engineering, University of Manchester, Manchester M13 9PL, United Kingdom;3. School of Engineering, University of Glasgow, Glasgow G12 8QQ, United Kingdom;1. Mechanical Engineering Department, SRM University, NCR Campus, Ghaziabad, Uttar Pradesh - 201204, India;2. Mechanical & Industrial Engineering Department, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand - 247667, India;3. Mechanical Engineering Department, Shri Govindram Seksaria Institute of Technology and Science, Indore, Madhya Pradesh - 452003, India |
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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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| Keywords: | Wakes Flow stability Vortex street Transition |
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