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

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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## 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):
Supervisor(s)EmailORCID
Needham, David JohnUNSPECIFIEDUNSPECIFIED
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

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