The initial development of a jet caused by fluid, body and free surface interaction
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...
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University of Birmingham
2015
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ndltd-bl.uk-oai-ethos.bl.uk-6492992019-04-03T06:42:25ZThe initial development of a jet caused by fluid, body and free surface interactionGallagher, Meurig Thomas2015The 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, 2008.510QA MathematicsUniversity of Birminghamhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.649299http://etheses.bham.ac.uk//id/eprint/5913/Electronic Thesis or Dissertation |
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510 QA Mathematics |
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510 QA Mathematics Gallagher, Meurig Thomas The initial development of a jet caused by fluid, body and free surface interaction |
| description |
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. |
| author |
Gallagher, Meurig Thomas |
| author_facet |
Gallagher, Meurig Thomas |
| author_sort |
Gallagher, Meurig Thomas |
| title |
The initial development of a jet caused by fluid, body and free surface interaction |
| title_short |
The initial development of a jet caused by fluid, body and free surface interaction |
| title_full |
The initial development of a jet caused by fluid, body and free surface interaction |
| title_fullStr |
The initial development of a jet caused by fluid, body and free surface interaction |
| title_full_unstemmed |
The initial development of a jet caused by fluid, body and free surface interaction |
| title_sort |
initial development of a jet caused by fluid, body and free surface interaction |
| publisher |
University of Birmingham |
| publishDate |
2015 |
| url |
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.649299 |
| work_keys_str_mv |
AT gallaghermeurigthomas theinitialdevelopmentofajetcausedbyfluidbodyandfreesurfaceinteraction AT gallaghermeurigthomas initialdevelopmentofajetcausedbyfluidbodyandfreesurfaceinteraction |
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