The squeeze flow of a bi-viscosity fluid between two rigid spheres with wall slip |
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Affiliation: | 1. College of Science, China Agricultural University, Beijing, 100083, China;2. Chinese Academy of Agricultural Mechanization Sciences Group Co., Ltd, Beijing, 100083, China;1. School of Chemistry and Chemical Engineering, Chongqing University of Science and Technology, Chongqing, 401331, China;2. Provincial and Ministerial Co-Constructive of Collaborative Innovation Center for MSW Comprehensive Utilization, School of Metallurgy and Materials Engineering, Chongqing University of Science and Technology, Chongqing, 401331, China;1. Department of Chemical Engineering, Tianjin Renai College, Tianjin, 301636, China;2. School of Chemical Engineering and Technology, Tianjin University, Tianjin, 300072, China;3. Center for Applied Energy Research, University of Kentucky, Lexington, KY, 40511, United States;4. The Research Center of Chemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin, 300072, China;1. School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China;2. Shanghai Key Laboratory of Multiphase Flow and Heat Transfer in Power Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China;3. State Key Laboratory of Multiphase Flow in Power Engineering, Xi''an Jiaotong University, Xi''an, 710049, China;1. School of Environment and Safety Engineering, North University of China, Taiyuan, 030051, China;2. Shanxi Engineering Technology Research Center for Ultrafine Powder, North University of China, Taiyuan, 030051, China;3. School of Chemistry and Chemical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China;4. Institute of Occupational Health of Ordnance Industry, Xi''an, 710065, China |
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Abstract: | In this paper, the squeeze flow between two rigid spheres with a bi-viscosity fluid is examined. Based on lubrication theory, the squeeze force is calculated by deriving the pressure and velocity expressions. The results of the normal squeeze force are discussed, and fitting functions of the squeeze and correction coefficients are given. The squeeze force between the rigid spheres increases linearly or logarithmically with the velocity when most or part of the boundary fluid reaches the yield state, respectively. Furthermore, the slip correction coefficient decreases with the increase in the velocity. The investigation may contribute to the further study of bi-viscosity fluids between rigid spheres with wall slip. |
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Keywords: | Squeeze flow Bi-viscosity fluid Rigid spheres Wall slip |
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