Criteria for the appearance of recirculating and non-stationary regimes behind a cylinder in a viscoplastic fluid |
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| Authors: | Stéphane Mossaz Pascal Jay Albert Magnin |
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| Affiliation: | 1. College of Science and Engineering, Flinders University, GPO Box 2100, Adelaide SA 5001, Australia;2. Department of Mechanical and Manufacturing Engineering, University of Cyprus, PO Box 20537, Nicosia, 1678 Cyprus;3. Department of Mathematics, University of Cyprus, PO Box 20537, Nicosia, 1678, Cyprus;1. Department of Mechanical Engineering, University of British Columbia, Vancouver, BC, V6T 1Z4, Canada;2. Department of Mathematics, University of British Columbia, Vancouver,BC, V6T 1Z2, Canada;1. LApEH, Université Saad Dahleb, Blida, Algeria;2. Mechanical Engineering Department, El-Mergib University, Libya;3. LEMTA, UMR 7563 (CNRS), 2, avenue de la forêt de Haye, BP 160, 54504 Vandoeuvre Cedex, France;4. Department of Mechanical Engineering, Faculty of Engineering, University of Hail, PO Box 2440 Hail, Saudi Arabia |
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| Abstract: | The appearance of a recirculation zone and the formation of non-stationary vortices behind a cylinder in the unconfined flow of a Herschel–Bulkley fluid have been studied by numerical simulation. The Herschel–Bulkley constitutive equation was regularised by using the Papanastasiou model. Special attention was paid to determining the numerical parameters and comparing them to existing results. The influence of the Oldroyd number and power-law index on flow morphology and, in particular, on the unyielded zones was studied over a wide spectrum (0 ≤ Od ≤ 10) and (0.3 ≤ n ≤ 1.8). It was seen that the greater the Oldroyd number, the greater the critical Reynolds numbers and Strouhal number for the two flow regimes. The influence of the power-law index is more complex. |
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