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Title: Decay of an oscillating plate in a free-molecular gas
Authors: Tsuji, Tetsuro  kyouindb  KAKEN_id
Aoki, Kazuo  KAKEN_id
Keywords: drag reduction
collision processes
Issue Date: 2011
Publisher: American Institute of Physics
Journal title: AIP Conference Proceedings
Volume: 1333
Start page: 140
End page: 145
Abstract: An infinite plate without thickness is placed in a free‐molecular gas, and an external force, obeying Hooke's law, is acting perpendicularly on the plate. If the plate is displaced perpendicularly from its equilibrium position and released, then it starts an oscillatory motion, which decays as time goes on because of the drag exerted by the gas molecules. This unsteady motion is investigated numerically, under the diffuse reflection condition, with special interest in the manner of its decay. It is shown that the decay of the displacement of the plate is slow and is in proportion to an inverse power of time. The result complements the existing mathematical study of a similar problem [S. Caprino, et al., Math. Models. Meth. Appl. Sci. 17, pp. 1369–1403 (2007)] in the case of non‐oscillatory decay.
Rights: Copyright 2011 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings 1333, 140 (2011) and may be found at
DOI(Published Version): 10.1063/1.3562639
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