Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1950 3(4):436-445; doi:10.1093/qjmam/3.4.436
© 1950 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 PRESTON, J. H.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

NON-STEADY FLOWS UNDER ASYMPTOTIC SUCTION CONDITIONS

J. H. PRESTON

( Aeronautics Laboratory, Cambridge University )

In a previous paper (1) steady state solutions were obtained for the circulatory flow about a circular cylinder, through the surface of which uniform suction is applied.

In this paper approximate solutions are obtained in a closed form for the transient state occurring when the peripheral speed of the cylinder and/or the suction velocity through the surface is suddenly altered. The suction velocity is assumed to be sufficiently large for the asymptotic exponential velocity distribution to be closely approached in the initial and final steady states.

The velocity distributions in the transient state lie between those for the initial and final steady states and hence the circulation at infinity remains unchanged. The effective duration of the transient state is inversely proportional to the square of the suction velocity.

The solutions obtained for the circular cylinder can be applied to the analogous problem of the non-steady flow past an infinite porous plate and for this case they are exact.


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.