Hostname: page-component-7c8c6479df-8mjnm Total loading time: 0 Render date: 2024-03-28T23:17:44.834Z Has data issue: false hasContentIssue false

Steady streaming from an oblate spheroid due to vibrations along its axis

Published online by Cambridge University Press:  27 January 2004

A. Y. REDNIKOV
Affiliation:
Aerospace & Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1453, USA
S. S. SADHAL
Affiliation:
Aerospace & Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1453, USA

Abstract

Steady (acoustic) streaming around a rigid oblate spheroid is studied in the incompressible limit when the fluid medium and the particle are in a small-amplitude high-frequency relative oscillatory motion along the symmetry axis of the spheroid. The inner (inside the thin Stokes shear-wave layer) and outer streaming patterns are analysed. A solution for the outer streaming is obtained analytically for small Reynolds numbers. At large Reynolds numbers, a boundary-layer consideration is carried out. Steady streaming in the disk limit, as approached within the family of oblate spheroids, is systematically investigated in the large Reynolds number case, and qualitative implications for shapes other than oblate spheroidal are discussed.

Type
Papers
Copyright
© 2004 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)