A new constitutive model for monodispersed suspensions of spheres at high concentrations |
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Authors: | Nhan Phan-Thien Xi-Jun Fan Boo Cheong Khoo |
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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 |
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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 |
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Keywords: | Suspension Constitutive equation Anisotropic diffusion Reduced viscosity Normalised first normal stress |
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