Flow induced by non-coaxial rotation of a disk executing non-torsional oscillations and a fluid rotating at infinity


Erdogan M.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol.38, no.2, pp.175-196, 2000 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 2
  • Publication Date: 2000
  • Doi Number: 10.1016/s0020-7225(99)00017-8
  • Title of Journal : INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Page Numbers: pp.175-196

Abstract

An exact solution of the time-dependent Navier-Stokes equations is obtained for the flow due to noncoaxial rotations of a disk, executing oscillations in its own plane, and a fluid rotating at infinity. An analytical solution describing the flow at large and small times after the start is obtained by the Laplace transform method. The velocity field is given in terms of the tabulated functions. The solutions for the three cases when the angular velocity is greater than, smaller than or equal to the frequency of oscillations an given and discussed. The time required to attain steady flows for the cosine and the sine oscillations is obtained. (C) 1999 Elsevier Science Ltd. All rights reserved.