Decay of an oscillating plate in a free-molecular gas

• Tsuji, Tetsuro

• Aoki, Kazuo

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.

Journal

• AIP Conference Proceedings

  AIP Conference Proceedings 1333 140-145, 2011

  American Institute of Physics

Keywords

• drag reduction
• diffusion
• reflection
• collision processes

Details

• CRID: 1050564285693322624
• NII Article ID: 120004920384
• NII Book ID: AA00502977
• ISSN: 0094243X
• HANDLE: 2433/160666
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles