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
Published inPowder technology Vol. 129; no. 1-3; pp. 156 - 160
Main Authors Cheng, Nian-Sheng, Law, Adrian Wing-Keung
Format Journal Article
LanguageEnglish
Published Lausanne Elsevier B.V 08.01.2003
Elsevier
Subjects
Concentration
Effective viscosity
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Multiphase and particle-laden flows
Nonhomogeneous flows
Particle interaction
Physics
Suspension
Two-phase flow
Effective viscosity
Suspension
Particle interaction
Concentration
Two-phase flow
Viscosity
Series expansion
Liquid particle flow
Modelling
Particle suspension
Effective medium model
Concentration distribution
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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.
ISSN:0032-5910
1873-328X
DOI:10.1016/S0032-5910(02)00274-7