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The squeeze-film flow of a viscoelastic fluid
Institution:1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, PR China;2. Key Laboratory for Unmanned Underwater Vehicle, Northwestern Polytechnical University, Xi’an 710072, PR China;1. Department of Robotics, Kanazawa Institute of Technology, Ishikawa921-8501, Japan;2. Department of Mechanical Engineering, Nagaoka University of Technology, Nagaoka 940-2188, Japan;3. Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan;4. Faculty of Science and Engineering, Waseda University, Tokyo 169-8555, Japan;1. Department of Pharmacotherapeutics, Division of Clinical Pharmacy, Showa University, 1-5-8 Hatanodai, Shinagawa-ku, Tokyo 142-8555, Japan;2. School of Pharmacy, 2nd Department of Pharmacology, Showa University, 1-5-8 Hatanodai, Shinagawa-ku, Tokyo 142-8555, Japan;3. School of Medicine, Department of Pathology, Division of Pathology, Showa University, 1-5-8 Hatanodai, Shinagawa-ku, Tokyo 142-8555, Japan;4. School of Medicine, Department of Gastroenterological and General Surgery, Showa University, 1-5-8 Hatanodai, Shinagawa-ku, Tokyo 142-8555, Japan
Abstract:We report on the use of a numerical method to solve the (inertia-less) squeeze-film flow problem for a viscoelastic fluid. The method is based on a Boundary Element formulation and relies on a time-marching scheme. The viscoelastic fluid is modelled by a constitutive law that allows for a shear stress overshoot mechanism in a suddenly started shear flow. The results show convincingly that the load enhancement sometimes observed experimentally is due to stress overshoot. A simple explanation for the enhancement is suggested; the stress overshoot appears quickly and takes a long time to die away, so that steady-state viscous behaviour is not very relevant.
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