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Three-dimensional viscoelastic flows through a rectangular channel with a cavity
Affiliation:1. University of British Columbia Mathematics and Mechanical Engineering University of British Columbia 6074 Applied Science Lane, Vancouver, BC, V6T1Z4, Canada;2. School of Engineering, University of Liverpool, The Quadrangle, Brownlow Hill, L69 3GH, United Kingdom;1. Centre for Clinical Microbiology, Division of Infection and Immunity, University College London, Royal Free Campus, Rowland Hill Street, London, UK;2. NIHR Biomedical Research Centre, University College London NHS Hospitals Foundation Trust, London, UK;3. Department of Infection, University College London NHS Hospitals Foundation Trust, London, UK
Abstract:Three-dimensional viscoelastic flows in a rectangular channel with a cavity were studied both numerically and experimentally. In the numerical study, computations were carried out using the Phan-Thien–Tanner (PTT) model as a constitutive equation. A finite volume method (FVM) using colocated grids was applied. A three-dimensional structure in the cavity was observed even when three-dimensional behavior was not remarkable in main flows. At high Weissenberg number, the flow in the cavity spirals to move towards the center plane of the channel. In the experiments, the flow of polymer solutions was visualized to observe three-dimensional flow behavior near the cavity part. It was confirmed that the spiraling flow moving towards the center plane emerged in the cavity.
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