Folgar–Tucker constant for a fibre suspension in a Newtonian fluid

Various transversely isotropic fluid (TIF) models have been widely used in describing the rheological behaviour of fibre suspensions. These models were variants of the continuum model originally derived by Ericksen and Hand. Their micro-structure origins were recognized by Doi and Edwards, Hinch and...

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Bibliographic Details
Published in:Journal of non-Newtonian fluid mechanics 2002-03, Vol.103 (2), p.251-260
Main Authors: Phan-Thien, N., Fan, X.-J., Tanner, R.I., Zheng, R.
Format: Article
Language:English
Subjects:
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Heterogeneous liquids: suspensions, dispersions, emulsions, pastes, slurries, foams, block copolymers, etc
Material form
Non-newtonian fluid flows
Physics
Rheology
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Summary:Various transversely isotropic fluid (TIF) models have been widely used in describing the rheological behaviour of fibre suspensions. These models were variants of the continuum model originally derived by Ericksen and Hand. Their micro-structure origins were recognized by Doi and Edwards, Hinch and Leal, Dinh and Armstrong, and Lipscomb et al., and Phan-Thien and Graham. In dilute systems, where the volume fraction times the aspect ratio squared is less than unity, the fibre-fibre interactions can be safely ignored. In non-dilute systems, the fibre-fibre interactions cannot be neglected. Folgar and Tucker modelled the fibre-fibre interactions as random collisions which results in a diffusion of fibres in their configuration space. They assumed the diffusivity is proportional to the shear rate, and we refer to the constant of proportionality as the Folgar-Tucker constant C sub i .
ISSN:0377-0257
1873-2631
DOI:10.1016/S0377-0257(02)00006-X