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A new constitutive model for monodispersed suspensions of spheres at high concentrations
Authors:Nhan Phan-Thien  Xi-Jun Fan  Boo Cheong Khoo
Institution:(1) Department of Mechanical and Mechatronic Engineering University of Sydney, NSW 2006 Australia, AU;(2) The Institute of High Performance Computing, National University of Singapore, Singapore 119260, Singapore, SG
Abstract:We describe a constitutive model for monodispersed concentrated suspensions of spheres at high volume fractions. In this model the motion of a pair of generic spheres is represented by that of a pair of force-free and torque-free spheres tumbling along with the flow. The interaction with the surrounding spheres is modelled by an anisotropic diffusion process. Viscometric and elongational properties of the model are obtained by a Brownian dynamic simulation. Received: 24 September 1998 Accepted: 1 December 1998
Keywords:Suspension  Constitutive equation  Anisotropic diffusion  Reduced viscosity  Normalised first normal stress
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