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Instability of non-uniform viscoelastic liquid jets

Alsharif, Abdullah Madhi (2014)
Ph.D. thesis, University of Birmingham.

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The industrial prilling process is a common technique to produce small pellets which are generated from the break-up of rotating liquid jets. In many cases the fluids used are molten liquid and/or contain small quantities of polymers and thus typically can be modelled as non-Newtonian liquids. Industrial scale set-ups are costly to run and thus mathematical modelling provides an opportunity to assess methods to improve efficiency and introduce greater levels of precision. In order to understand this process, we consider a mathematical model to capture the essential physics related to a cylindrical drum which is rotated about its axis and from which a slender liquid jet emerges from a hole placed on the side of the drum. Furthermore, surfactants may be used in such process to manipulate the size of the resulting droplets. In this thesis, we model the viscoelastic nature of the fluid using the Oldroyd-B model. An asymptotic approach is used to simplify the governing equations and then we consider a linear temporal stability analysis of the resulting set of equations.
The effect of gravity on viscoelastic liquid jets has been discussed both with rotation and without rotation. The trajectory of this problem has been plotted in three dimensions. Our results show the effect of many non-dimensional parameters on the linear instability of a viscoelastic curved liquid with gravity and without gravity.

Type of Work:Ph.D. thesis.
Supervisor(s):Decent, Stephen P and Uddin, Jamal
School/Faculty:Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:School of Mathematics
Subjects:QA Mathematics
Institution:University of Birmingham
ID Code:5495
This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder.
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