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The initial development of a jet caused by fluid, body and free surface interaction

Gallagher, Meurig Thomas (2015)
Ph.D. thesis, University of Birmingham.

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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$$^1$$, 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: Ph.D. thesis. Needham, David John Colleges (2008 onwards) > College of Engineering & Physical Sciences School of Mathematics QA Mathematics University of Birmingham 5913
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