Exponential formula for computing effective viscosity

An exponential model is proposed for evaluating the effective viscosity of a particle-fluid mixture. First, theoretical consideration is restricted to the dilute condition without effects of dynamic particle interactions and fluid turbulence. This leads to a power series expressed in terms of partic...

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Bibliographic Details
Main Authors: Cheng, Nian-Sheng, Law, Adrian Wing-Keung
Other Authors: School of Civil and Environmental Engineering
Format: Article
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/94067
http://hdl.handle.net/10220/7676
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Institution: Nanyang Technological University
Language: English
Description
Summary:An exponential model is proposed for evaluating the effective viscosity of a particle-fluid mixture. First, theoretical consideration is restricted to the dilute condition without effects of dynamic particle interactions and fluid turbulence. This leads to a power series expressed in terms of particle concentration, which can be viewed as an extension of the Einstein's formula. The derivation is then extended using an exponential model for the condition of high particle concentrations. The exponential formula obtained, which is not subjected to the maximum particle concentration, is found comparable to various empirical formulas available in the literature