Summary
The Folgar-Tucker equation is used in flow simulations of fiber suspensions to predict fiber orientation depending on the local flow. In this paper, a complete, frame-invariant description of the phase space of this differential equation is presented for the first time.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
C.L. Tucker and S.G. Advani: “Processing of short-fiber systems”, ch. 6, pp. 147 in S.G. Advani (Ed.): Flow and Rheology in Polymer Composites Manufacturing, Elsevier, Amsterdam (1994)
J.S. Cintra and C.L. Tucker III: “Orthotropic closure approximations for flow-induced fiber orientation”, Journ. Rheol. 39, 1095 (1995)
E. Hairer, C. Lubich and G. Wanner: Geometric numerical integration, Springer, Berlin (2002)
DPGraph: Dynamic Photorealistic 3D Graphing Software for Math and Physics Visualization (by David Parker); www.dpgraph.com
J. Linn: “On the phase space of the Folgar-Tucker equation”,ITWM preprint (in preparation)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Linn, J. (2004). On the Frame — Invariant Description of the Phase Space of the Folgar–Tucker Equation. In: Buikis, A., Čiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_44
Download citation
DOI: https://doi.org/10.1007/978-3-662-09510-2_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07262-8
Online ISBN: 978-3-662-09510-2
eBook Packages: Springer Book Archive