Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1973 26(1):53-75; doi:10.1093/qjmam/26.1.53
© 1973 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 COLLINS, W. M.
Right arrow Articles by DENNIS, S. C. R.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

THE INITIAL FLOW PAST AN IMPULSIVELY STARTED CIRCULAR CYLINDER

W. M. COLLINS and S. C. R. DENNIS

( Department of Applied Mathematics, University of Western Ontario London, Canada )

The initial flow in a direction normal to an infinite circular cylinder which is started impulsively from rest with uniform velocity in a viscous fluid is considered. An expansion in powers of the time from the start of the motion is obtained which extends the results of boundary-layer theory by taking into account corrections for finite Reynolds numbers. The odevelopment of the physical properties of the flow at early times for finite Reynolds numbers may thus be obtained. In particular, a reasonably good approximation to the time at which the fluid first starts to separate from the cylinder can be calculated down to about R = 200, where R is the Reynolds number based on the diameter of the cylinder. The expansion is valid for times beyond the time at which separation first occurs, if R is large enough. Results are presented for the initial development with time of the drag on the cylinder. At the start of the motion the friction and pressure drags are equal for all Reynolds numbers.


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.