Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1975 28(3):341-353; doi:10.1093/qjmam/28.3.341
© 1975 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 HOCKING, L. M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

NON-LINEAR INSTABILITY OF THE ASYMPTOTIC SUCTION VELOCITY PROFILE

L. M. HOCKING

( Department of Mathematics, University College London )

The velocity profile for fluid moving parallel to a fixed plate with uniform suction has a boundary-layer character, except that there is no variation of the flow in the direction parallel to the plate. If a small, centred disturbance is made to the flow, at a Reynolds number which is slightly super-critical, the disturbance evolves into a wave-packet, whose amplitude satisfies a non-linear Schrödinger equation. This equation is determined by using methods introduced for plane parallel-flow problems by Stewartson and Stuart (1), but with the additional features of a cross-flow velocity in the undisturbed motion, and an unbounded flow region normal to the bounding plate. The coefficients in the equation are determined numerically. It is shown that both line- and point-centred initial disturbances develop into localized bursts in a finite time.


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.