ANZIAM J. 47(EMAC2005) pp.C34--C47, 2006.

A simple mathematical model of wool scouring

J. F. Caunce

S. I. Barry

G. N. Mercer

(Received 20 October 2005; revised 13 June 2006)

Abstract

The transport of contaminants in a wool scour bowl is modelled by advection diffusion equations. Averaging over the thin layers of wool and the water beneath gives two coupled differential equations clearly showing the contaminant interaction between the layers, and leading to simple asymptotic relationships.

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Authors

J. F. Caunce
S. I. Barry
G. N. Mercer
School Physical, Environmental & Mathematical Sciences, University of New South Wales at ADFA, Canberra, Australia. mailto:s.barry@adfa.edu.au

Published June 22, 2006. ISSN 1446-8735

References

  1. S. I. Barry, T. Marchant and G. N. Mercer. Grease recovery and dirt removal in wool scouring. Mathematics in Industry Study Group, Proceedings, ed: J. Hewitt and K. White, 2002.
  2. J. F. Caunce, S. I. Barry, G. N. Mercer, and T. R. Marchant. Modelling a wool scour bowl. In Andrew Stacey, Bill Blyth, John Shepherd, and A. J. Roberts, editors, Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference, EMAC-2005, volume 47 of ANZIAM J., pages C19--C33, June 2006. http://anziamj.austms.org.au/V47EMAC2005/Caunce3 [June 22, 2006].
  3. D. Early. A Theoretical analysis of equilibrium conditions in the continuous scouring of raw wool. J. Textile Inst., 68(2/3), 60--67, 1978.
  4. D. Early. The effects of operating variables in raw wool scouring. J. Textile Inst., 69(12), 518--524, 1979.