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A mathematical model for washing a tow of fibres: Part 2

Published online by Cambridge University Press:  26 September 2008

J. G. Byatt-Smith  and
E. L. Terrill
J. G. Byatt-Smith
Affiliation:
Department of Mathematics and Statistics, King's Buildings, University of Edinburgh, Edinburgh EH9 3JZ, UK
E. L. Terrill
Affiliation:
Mathematical Institute 24–29 St Giles', Oxford OX1 3LB, UK
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Extract

In Part I of this paper (Terrill & Byatt-Smith, 1993) the problem of the flow between an obstacle in the form of a wedge and a porous flexible tow was modelled using lubrication theory. In the region close to the wedge where bending is important the following equation

was derived for the non-dimensional gap width, H(X), between the tow and the wedge.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 1 , February 1995 , pp. 25 - 44
Copyright
Copyright © Cambridge University Press 1995

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References

Bender, C. M. & Orszag, S. A. 1978 Advanced Mathematical Methods for Scientists and Engineers. McGraw-Hill, pp. 76–87.Google Scholar
Guckenheimer, J. & Holmes, P. 1983 Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields. Springer-Verlag.CrossRefGoogle Scholar
Lund, I. D. 1985 Hydrodynamics and mass transfer problems in wet spinning. D.Phil Thesis, Oxford University.Google Scholar
Please, C. 1991 Mathematics and Industry final report. University of Warwick, pp. 48–55.Google Scholar
Press, W. H., Flannery, B. P., Teukolsky, S. A. & Vettering, W. T. 1987 Numerical Recipes, The Art of Scientific Computing. CUP, pp. 588–599.Google Scholar
Terrill, L. 1990 Mathematical modelling of some spinning processes. D.Phil Thesis, Oxford University.Google Scholar
Terrill, L. & Byatt-Smith, J. G. 1993 A mathematical model for the washing of a tow of fibres: Part I. Euro. J. Appl. Math. 5 (4), 525–536.CrossRefGoogle Scholar