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Levitation by thin viscous layers

Published online by Cambridge University Press:  07 February 2020

T. Mullin Open the ORCID record for T. Mullin [Opens in a new window] ,
H. Ockendon  and
J. R. Ockendon
T. Mullin*
Affiliation:
Mathematical Institute, University of Oxford, OxfordOX2 6GG, UK
H. Ockendon
Affiliation:
Mathematical Institute, University of Oxford, OxfordOX2 6GG, UK
J. R. Ockendon
Affiliation:
Mathematical Institute, University of Oxford, OxfordOX2 6GG, UK
*
†Email address for correspondence: Tom.mullin@maths.ox.ac.uk
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Abstract

We consider the levitation of cuboidal blocks by means of the viscous stresses that are generated when the block adheres to a vertically moving wall that is coated with oil. We first describe an experimental procedure that reveals the parameter regimes in which long-time levitation can occur. Then a simple model for the relevant lubrication flows is used to explain the theoretical basis for these observations.

JFM classification

Low-Reynolds-number flows: Lubrication theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 888 , 10 April 2020 , A17
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

Bico, J., Ashmore-Chakrabarty, J., McKinley, G. H. & Stone, H. A. 2009 Rolling stones: the motion of a sphere down an inclined plane coated with a thin liquid film. Phys. Fluids 21, 082103.CrossRefGoogle Scholar
Eggers, J., Kerswell, R. R. & Mullin, T. 2013 Balancing a cylinder on a thin vertical layer of viscous fluid. Phys. Rev. E 87, 065001.Google ScholarPubMed
Glynn, T. W. & Storm, J. S.1965 Surface treatment of glass. Patent CD3C17/00.Google Scholar
Huppert, H. E. 1982 Flow and instability of a viscous current down a slope. Nature 300, 427–429.CrossRefGoogle Scholar
Kao, J. C. T. & Hosoi, A. E. 2012 Spinodal decomposition in particle-laden Landau–Levich flow. Phys. Fluids 24, 041701.CrossRefGoogle Scholar
Ockendon, H. & Ockendon, J. R. 1995 Viscous Flow. Cambridge University Press.CrossRefGoogle Scholar