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Hysteresis and non-uniqueness in the speed of the onset of instability in curtain coating

Published online by Cambridge University Press:  15 November 2006

J. O. MARSTON ,
S. P. DECENT  and
M. J. H. SIMMONS
J. O. MARSTON
Affiliation:
School of Mathematics, The University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK Department of Chemical Engineering, The University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
S. P. DECENT
Affiliation:
School of Mathematics, The University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
M. J. H. SIMMONS
Affiliation:
Department of Chemical Engineering, The University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
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Abstract

The maximum speed of stable coating is determined experimentally by the onset of air entrainment in curtain coating onto a pre-wetted surface over a broad range of dimensionless parameters (Reynolds number: $0.14\,{<}\,\hbox{\it Re}\,{<}\,33.02$; capillary number: $0.19\,{<}\,\hbox{\it Ca}\,{<}\,25.07$). We show not only that the substrate speed at the onset of instability is flow-rate dependent for a pre-wetted surface, but that the speed at which instability occurs is not always unique for a given flow rate.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 569 , 25 December 2006 , pp. 349 - 363
Copyright
© 2006 Cambridge University Press

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