Skip Navigation


The Quarterly Journal of Mechanics and Applied Mathematics Advance Access originally published online on January 10, 2006
The Quarterly Journal of Mechanics and Applied Mathematics 2006 59(2):163-190; doi:10.1093/qjmam/hbj001
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
59/2/163    most recent
hbj001v1
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 Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (1)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Noakes, C. J.
Right arrow Articles by Riley, D. S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Q. Jl Mech. Appl. Math, Vol. 59. No. 2 © The author 2006. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

On the development of rational approximations incorporating inertial effects in coating and rimming flows: a multiple-scales approach

C. J. Noakes, J. R. King and D. S. Riley{dagger}

( Division of Applied Mathematics, School of Mathematical Sciences University of Nottingham, Nottingham NG7 2RD )

{dagger} david.riley{at}nottingham.ac.uk

Analysis of thin-film rimming and coating flows is extended to create a more general model, which can be identified as a new distinguished limit that has the work of certain previous studies as specific limiting cases. Specifically, three-dimensional flows under the influence of gravity are considered in which the Reynolds number is large enough to necessitate consideration of both inertial and centrifugal effects, along with those of viscous, gravitational and surface-tension forces. Reduction of dimensionality is shown to be attainable within a systematic (multiple-timescale) asymptotic framework that encompasses all these effects, leading to a two-dimensional formulation that not only is more general than many of the existing ones but also represents a rational approximation in the sense that, in particular, the sizes of the dimensionless physical parameters to which it corresponds, together with the orders of magnitude of the errors resulting from the reduction, can be precisely characterized.


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.