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The contribution of Brownian motion to the viscosity of suspensions of spherical particles
Institution:1. Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China;2. School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China;3. School of Power Engineering, Naval University of Engineering, Wuhan 430033, China;1. College of Materials Science and Engineering, Taiyuan University of Technology, 030024 Taiyuan, China;2. Shandong Huatian Electric Co., Ltd, 250000 Jinan, China;3. School of Mechanical, Electrical & Information Engineering, Shandong University, 264209 Weihai, China;4. Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials (Ministry of Education), Shandong University, 250061 Jinan, China
Abstract:We study the contribution of Brownian motion to the viscosity of a suspension of spherical particles immersed in an incompressible fluid. We evaluate expressions derived from linear response theory applied to the generalized Smoluchowski equation and from a cluster expansion of the response. This leads to results obtained earlier by Batchelor for hard spheres and by Russel for more general pair interactions.
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