Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1979 32(2):95-107; doi:10.1093/qjmam/32.2.95
© 1979 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by DORREPAAL, J. M.
Right arrow Articles by O'NEILL, M. E.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

THE EXISTENCE OF FREE EDDIES IN A STREAMING STOKES FLOW

J. M. DORREPAAL and M. E. O'NEILL

( Department of Mathematical and Computing Sciences, Old Dominion University Norfolk, Virginia 23508
Department of Mathematics, University College London, England )

The uniform streaming Stokes flow past two equal separated cylinders is considered where the direction of flow is perpendicular to the line joining the centres. Because of Stokes's paradox, the problem reduces to solving for the first term of the inner expansion for low Reynolds number flow past two cylinders. It is found that fluid always moves through the gap separating the two cylinders no matter how small it is. When the gap width is less than 0.0446 times the cylinder radius, two free eddies form along the center line, one on either side of the gap. These eddies are completely isolated from the cylinder boundaries by the surrounding fluid and their appearance is a Stokes flow phenomenon not observed before. For smaller gaps-both free eddies and boundary eddies are present. These interlace as the cylinders approach forcing the fluid which moves through the gap to take a winding path.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.