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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

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