Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1993 46(4):657-681; doi:10.1093/qjmam/46.4.657
© 1993 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 ROPCHAN, C. B.
Right arrow Articles by SWATERS, G. E.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

THE ROLE OF NEGATIVE ENERGY WAVES IN LINEAR AND NONLINEAR SHEAR-FLOW INSTABILITY IN HYPERELASTIC FLUID-FILLED TUBES

CARMEN B. ROPCHAN and GORDON E. SWATERS

( Applied Mathematics Institute, Department of Mathematics, University of Alberta Edmonton, Alberta, Canada T6G 2G1 )

The linear and nonlinear transition to instability for a shear flow of a density-stratified fluid in a hyperelastic membranous tube is examined. Within the context of the linear stability problem, it is shown that the onset of instability occurs due to the coalescing of positive and negative energy wave or disturbance energy is defined to be the difference between the phase-averaged energy of the flow in the presence of the wave and the phase-averaged energy of the steady flow. It is shown that even if the linear problem predicts neutral stability, weakly-nonlinear wave-wave interactions can occur between the stable modes to produce explosive instability in finite time. The process of nonlinear destablization is analyzed using the wave activities associated with the disturbance energies.


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.