Gallagher, Meurig Thomas (2015). The initial development of a jet caused by fluid, body and free surface interaction. University of Birmingham. Ph.D.
|
Gallagher15PhD.pdf
PDF - Accepted Version Download (3MB) |
Abstract
The aim of this thesis is to investigate the problem of a rigid plate, inclined at an angle α ∈(0,1/2π) the horizontal, accelerating uniformly from rest into or away from a semi-infinite expanse of inviscid, incompressible fluid. This work generalized that of Needham, Chamberlain, and Billingham\(^1\), by considering the case of negative plate accelerations.
We use the method of matched asymptotic expansions to investigate the asymptotic structure of the solution to the free surface evolution problem as t→0\(^+\), paying particular attention to the innermost asymptotic region encompassing the initial interaction between the fluid free surface and the inclined accelerating plate.
\(^1\) Needham et al. The initial development of a jet caused by fluid, body and free surface interaction. The Quarterly Journal of Mechanics and Applied Mathematics. 61(4):581-614, 2008.
| Type of Work: | Thesis (Doctorates > Ph.D.) | ||||||
|---|---|---|---|---|---|---|---|
| Award Type: | Doctorates > Ph.D. | ||||||
| Supervisor(s): |
|
||||||
| Licence: | |||||||
| College/Faculty: | Colleges (2008 onwards) > College of Engineering & Physical Sciences | ||||||
| School or Department: | School of Mathematics | ||||||
| Funders: | Engineering and Physical Sciences Research Council | ||||||
| Subjects: | Q Science > QA Mathematics | ||||||
| URI: | http://etheses.bham.ac.uk/id/eprint/5913 |
Actions
 |
Request a Correction |
 |
View Item |
Downloads
Downloads per month over past year