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Body-rock or lift-off in flow

Published online by Cambridge University Press:  22 October 2013

Frank T. Smith  and
Phillip L. Wilson
Frank T. Smith
Affiliation:
Department of Mathematics, UCL, Gower Street, London WC1E 6BT, UK
Phillip L. Wilson*
Affiliation:
Department of Mathematics & Statistics, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand
*
†Email address for correspondence: phillip.wilson@canterbury.ac.nz
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Abstract

Conditions are investigated under which a body lying at rest or rocking on a solid horizontal surface can be removed from the surface by hydrodynamic forces or instead continues rocking. The investigation is motivated by recent observations on Martian dust movement as well as other small- and large-scale applications. The nonlinear theory of fluid–body interaction here has unsteady motion of an inviscid fluid interacting with a moving thin body. Various shapes of body are addressed together with a range of initial conditions. The relevant parameter space is found to be subtle as evolution and shape play substantial roles coupled with scaled mass and gravity effects. Lift-off of the body from the surface generally cannot occur without fluid flow but it can occur either immediately or within a finite time once the fluid flow starts up: parameters for this are found and comparisons are made with Martian observations.

JFM classification

Aerodynamics: Flow-structure interactions Granular media: Granular media Multiphase and Particle-laden Flows: Particle/fluid flow
Type
Papers
Information
Journal of Fluid Mechanics , Volume 735 , 25 November 2013 , pp. 91 - 119
Copyright
©2013 Cambridge University Press 

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