A theoretical and experimental study of dewatering of fibre suspensions by uniaxial compression is presented. Solutions of a one-dimensional model are discussed and asymptotic limits of fast and slow compression are explored. Particular focus is given to relatively rapid compression and to the corresponding development of spatial variations in the solidity and velocity profiles of the suspension. The results of complementary laboratory experiments are presented for nylon or cellulose fibres suspended in viscous fluid. The constitutive relationships for each suspension were measured independently. Measurements of the load for different fixed compression speeds, together with some direct measurements of the velocity profiles using particle tracking velocimetry, are compared with model predictions. The comparison is reasonable for nylon, but poor for cellulose fibres. An extension to the model, which allows for a strain-rate-dependent component in the network stress, is proposed, and is found to give a dramatic improvement in the model predictions for cellulose fibre suspensions. The reason for this improvement is attributed to the microstructure of cellulose fibres, which, unlike nylon fibres, are themselves porous.
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June 2016
Research Article|
June 09 2016
Dewatering of fibre suspensions by pressure filtration
Duncan R. Hewitt;
Duncan R. Hewitt
1Department of Mathematics,
University of British Columbia
, Vancouver, British Columbia V6T 1Z2, Canada
2Department of Applied Mathematics and Theoretical Physics,
University of Cambridge
, Cambridge, United Kingdom
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Daniel T. Paterson;
Daniel T. Paterson
3Department of Mechanical Engineering,
University of British Columbia
, Vancouver, British Columbia V6T 1Z4, Canada
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Neil J. Balmforth;
Neil J. Balmforth
1Department of Mathematics,
University of British Columbia
, Vancouver, British Columbia V6T 1Z2, Canada
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D. Mark Martinez
D. Mark Martinez
4Department of Chemical and Biological Engineering,
University of British Columbia
, Vancouver, British Columbia V6T 1Z3, Canada
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Duncan R. Hewitt
1,2
Daniel T. Paterson
3
Neil J. Balmforth
1
D. Mark Martinez
4
1Department of Mathematics,
University of British Columbia
, Vancouver, British Columbia V6T 1Z2, Canada
2Department of Applied Mathematics and Theoretical Physics,
University of Cambridge
, Cambridge, United Kingdom
3Department of Mechanical Engineering,
University of British Columbia
, Vancouver, British Columbia V6T 1Z4, Canada
4Department of Chemical and Biological Engineering,
University of British Columbia
, Vancouver, British Columbia V6T 1Z3, Canada
Physics of Fluids 28, 063304 (2016)
Article history
Received:
November 12 2015
Accepted:
May 12 2016
Citation
Duncan R. Hewitt, Daniel T. Paterson, Neil J. Balmforth, D. Mark Martinez; Dewatering of fibre suspensions by pressure filtration. Physics of Fluids 1 June 2016; 28 (6): 063304. https://doi.org/10.1063/1.4952582
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