A fully funded PhD is available on mathematical modelling of the fabrication of whispering gallery resonator sensors by blowing a micro-bubble or micro-bottle in a heated microstrutured taper. Both flow and temperature sub-models will be required and asymptotic methods exploiting the slenderness and/or the small wall thickness of the taper will be used in their derivation. The model(s) developed will be used to investigate the relationship between surface tension, pressure, wall thickness of the fibre/taper and wall thickness and size of the bubble/bottle. The thinner the wall of the fibre/taper the more sensitive it will be to the applied pressure and the greater the chance of blow-out and, consequently, failure to achieve the desired sensor. Avoiding this, while still achieving thin-walled micro-bubbles/bottles, will be of key interest. The model(s) will be compared with experiments run with assistance from skilled technicians.
Applicants should hold or be about to complete an Honours or Masters degree in applied mathematics or a closely related subject area (e.g. physics, engineering) and should have some knowledge of theoretical fluid mechanics. A Class 1 Honours degree, or a Distinction or higher for a Masters degree with a significant research component, are highly desirable. Equivalent international qualifications will be considered.
A candidate of suitable academic merit will receive a studentship comprising full coverage of PhD tuition fees and an annual stipend.
Interested persons should email Associate Professor Yvonne Stokes (firstname.lastname@example.org), sending
- a covering letter stating your interests and why you are applying,
- your CV,
- your academic record,
- contact details of two referees.