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Entrainment of particles during the withdrawal of a fibre from a dilute suspension

Published online by Cambridge University Press:  30 September 2020

B. M. Dincau Open the ORCID record for B. M. Dincau [Opens in a new window] ,
E. Mai Open the ORCID record for E. Mai [Opens in a new window] ,
Q. Magdelaine Open the ORCID record for Q. Magdelaine [Opens in a new window] ,
J. A. Lee Open the ORCID record for J. A. Lee [Opens in a new window] ,
M. Z. Bazant Open the ORCID record for M. Z. Bazant [Opens in a new window]  and
A. Sauret Open the ORCID record for A. Sauret [Opens in a new window]
B. M. Dincau
Affiliation:
Department of Mechanical Engineering, University of California, Santa Barbara, CA 93106, USA
E. Mai
Affiliation:
Department of Mechanical Engineering, University of California, Santa Barbara, CA 93106, USA Department of Chemical Engineering, University of California, Santa Barbara, CA 93106, USA
Q. Magdelaine
Affiliation:
Surface du Verre et Interfaces, UMR 125 CNRS/Saint-Gobain, F-93303 Aubervilliers, France Sorbonne Université, CNRS, Institut Jean Le Rond d'Alembert, F-75005Paris, France
J. A. Lee
Affiliation:
Saint-Gobain Research North America, Northborough, MA 01532, USA
M. Z. Bazant
Affiliation:
Saint-Gobain Research North America, Northborough, MA 01532, USA Department of Chemical Engineering, MIT, Cambridge, MA 02139, USA Department of Mathematics, MIT, Cambridge, MA 02139, USA
A. Sauret*
Affiliation:
Department of Mechanical Engineering, University of California, Santa Barbara, CA 93106, USA
*
†Email address for correspondence: [email protected]
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Abstract

A fibre withdrawn from a bath of a dilute particulate suspension exhibits different coating regimes depending on the physical properties of the fluid, the withdrawal speed, the particle sizes and the radius of the fibre. Our experiments indicate that only the liquid without particles is entrained for thin coating films. Beyond a threshold capillary number, the fibre is coated by a liquid film with entrained particles. We systematically characterize the role of the capillary number, the particle size and the fibre radius on the threshold speed for particle entrainment. We discuss the boundary between these two regimes and show that the thickness of the liquid film at the stagnation point controls the entrainment process. The radius of the fibre provides a new degree of control in capillary filtering, allowing greater control over the size of the particles entrained in the film.

JFM classification

Interfacial Flows (free surface): Thin films Materials Processing Flows: Coating Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 903 , 25 November 2020 , A38
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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