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https://hdl.handle.net/2440/34968
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Type: | Journal article |
Title: | Three-dimensional flow due to a microcantilever oscillating near a wall: an unsteady slender-body analysis |
Author: | Clarke, Richard John Jensen, O. E. Billingham, J. Williams, P. M. |
Citation: | Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 2006; 462(2067):913-933 |
Publisher: | The Royal Society |
Issue Date: | 2006 |
ISSN: | 1364-5021 |
School/Discipline: | School of Mathematical Sciences |
Statement of Responsibility: | R.J Clarke, O.E Jensen, J Billingham and P.M Williams |
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. |
Description: | © 2006 The Royal Society |
DOI: | 10.1098/rspa.2005.1607 |
Appears in Collections: | Mathematical Sciences publications |
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