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Fibre-streamline flows of fibre-reinforced viscous fluids

Published online by Cambridge University Press:  01 April 1997

A. J. M. SPENCER
A. J. M. SPENCER
Affiliation:
Department of Theoretical Mechanics, University of Nottingham, Nottingham NG7 2RD, UK
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Abstract

An ideal fibre-reinforced fluid is incompressible and inextensible along a family of material curves that are convected with the fluid. It is a model for continuous fibre-resin systems in the fluid state in which forming processes take place. Like liquid crystals, these fluids have strong directional properties. The kinematic and constitutive theory of ideal fibre-reinforced fluids is described, with particular reference to plane flows. The class of flows in which the fibres are aligned along the streamlines is considered, and an explanation is given for the observed prevalence of this class of flows.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 8 , Issue 2 , April 1997 , pp. 209 - 215
Copyright
1997 Cambridge University Press

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