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The interaction of a fibre tangle with an airflow

Published online by Cambridge University Press:  28 March 2006

Paul A. Taub
Affiliation:
General Applied Science Laboratories, Westbury, N.Y.

Abstract

An analytical model of the interaction of a fibre tangle with an airflow is proposed. This model replaces the discrete fibres by a continuum medium with a non-linear stress-strain law. The governing equations have been examined for one-dimensional unsteady flow configurations and have been found to possess five characteristic directions.

A numerical-solution procedure, based upon the method of characteristics, has been outlined and applied to the flow within a dilation chamber. A fibre sample is located at the centre of the chamber, which is alternately pressurized and depressurized.

Type
Research Article
Copyright
© 1967 Cambridge University Press

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References

Biot, M. A. 1955 J. Appl. Phys. 26, 182.
Biot, M. A. 1956 J. Appl. Phys. 27, 459.
Davis, G. 1957 Ph.D. Dissertation, Cambridge University.
Dubois, W. F. 1959 Textile Res. J. 29, 451.
Elder, J. W. 1959 J. Fluid Mech. 5, 355.
GRÁLEN, N. & Olafsson, B. 1947 Textile Res. J. 17, 488.
Lord, E. 1955a J. Textile Inst. 46, 41.
Lord, E. 1955b J. Textile Inst. (Trans.) 46, T 191.
Paria, G. 1958 Bull. Calcutta Math. Soc. 50, 71.
Paria, G. 1963 Appl. Mech. Rev. 16, 421.
Postle, J. L., Ingham, J. & Cox, D. R. 1952 J. Textile Inst. (Trans.) 43, T 77.
STREETER, V. L. (ed.) 1961 Handbook of Fluid Dynamics. New York: McGraw Hill.
Taub, P. A. 1965 General Applied Sc. Labs. TR 535.