Three-dimensional flow due to a microcantilever oscillating near a wall: an unsteady slender-body analysis
Date
2006
Authors
Clarke, Richard John
Jensen, O. E.
Billingham, J.
Williams, P. M.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 2006; 462(2067):913-933
Statement of Responsibility
R.J Clarke, O.E Jensen, J Billingham and P.M Williams
Conference Name
Abstract
We compute the drag on a slender rigid cylinder, of uniform circular cross-section,
oscillating in a viscous fluid at small amplitude near a horizontal wall. The cylinder’s axis
lies at an angle a to the horizontal and the cylinder oscillates in a vertical plane normal
to either the wall or its own axis. The flow is described using an unsteady slender-body
approximation, which we treat both numerically and using an iterative scheme that
extends resistive-force theory to account for the leading-order effects of unsteady inertia
and the wall. When a is small, two independent screening mechanisms are identified
which suppress end-effects and produce approximately two-dimensional flow along the
majority of the cylinder; however, three-dimensional effects influence the drag at larger
tilt angles.
School/Discipline
School of Mathematical Sciences
Dissertation Note
Provenance
Description
© 2006 The Royal Society