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Viscoelastic Flows of PTT Fluid

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E:/Main Thesis/dnsthesis.dvi Viscoelastic Flows of PTT Fluids submitted by David N. Sibley for the degree of Doctor of Philosophy of the University of Bath Department of Mathematical Sciences March 2010 COPYRIGHT Attention is drawn to the fact that copyright of this thesis rests with its author. A copy of this thesis has been supplied on condition that anyone who consults it is understood to recognise that its copyright rests with the author and they must not copy it or use material from it except as permitted by law or with the consent of the author. This thesis may be made available for consultation within the University Library and may be photocopied or lent to other libraries for the purposes of consultation. Signature of Author . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . David N. Sibley Acknowledgements During the writing of my PhD thesis, I realised there are a large number of people who are important to me. Firstly, I wish to thank my parents and grandparents for their love and support, and to apologise that I haven’t pursued research in a subject involving more pictures - flicking through nearly 200 pages of this can’t be all that fun! I’m reminded of the first teachers who inspired my love of Mathematics - I would like to thank Mr Edwards and Mr MacLennan from Ysgol Pen-y-Bryn for the memories of learning about all things from adding fractions (and the desire to be the first to finish the exercises!) to having the first concept of air resistance and friction. The excitement and satisfaction of having a definite answer - and the resulting red tick - has stayed with me until this day. I would also like to thank the many great teachers at Eirias High School who taught me in my secondary school and sixth form years. In particular my A-level teachers Mrs Bailey, Mr Parry and Mr Gerrard (who deserves special mention fo

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