Gallagher, Meurig Thomas (2015). The initial development of a jet caused by fluid, body and free surface interaction. University of Birmingham. Ph.D.
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Gallagher15PhD.pdf
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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, 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.
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.) | ||||||
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| Award Type: | Doctorates > Ph.D. | ||||||
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| 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 |
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