Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/17760
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Type: | Journal article |
Title: | The drag on a microcantilever oscillating near a wall |
Author: | Clarke, Richard John Cox, Stephen Michael Williams, P. M. Jensen, O. E. |
Citation: | Journal of Fluid Mechanics, 2005; 545 (December):397-426 |
Publisher: | Cambridge University Press |
Issue Date: | 2005 |
ISSN: | 0022-1120 |
School/Discipline: | School of Mathematical Sciences |
Statement of Responsibility: | R. J. Clarke, S. M. Cox, P. M. Williams and O. E. Jensen |
Abstract: | Motivated by devices such as the atomic force microscope, we compute the drag experienced by a cylindrical body of circular or rectangular cross-section oscillating at small amplitude near a plane wall. The body lies parallel to the wall and oscillates normally to it; the body is assumed to be long enough for the dominant flow to be two-dimensional. The flow is parameterized by a frequency parameter γ² (a Strouhal number) and the wall–body separation Δ (scaled on body radius). Numerical solutions of the unsteady Stokes equations obtained using finite-difference computations in bipolar coordinates (for circular cross-sections) and boundary-element computations (for rectangular cross-sections) are used to determine the drag on the body. Numerical results are validated and extended using asymptotic predictions (for circular cylinders) obtained at all extremes of (γ, Δ)-parameter space. Regions in parameter space for which the wall has a significant effect on drag are identified. |
Rights: | Copyright © 2005 Cambridge University Press |
DOI: | 10.1017/S0022112005006907 |
Published version: | http://www.journals.cambridge.org/action/displayAbstract?fromPage=online&aid=358740 |
Appears in Collections: | Mathematical Sciences publications |
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