A fully funded PhD position is available on the mathematical modelling of the fabrication of microstructured tapers used for whispering gallery resonator sensors, mass-spectrometry and medical devices. Their fabrication is by heating and pulling a suitable capillary/preform. Pressurisation of the air channel(s) may be required to achieve the desired geometry. Both flow and temperature sub-models will be required and asymptotic methods exploiting the slenderness of the taper will be used in their derivation. The model will be used to investigate the relationship between the length of the heated region and the temperature, the pulling tension and velocity, the surface tension and pressure, on the length of the taper and the cross-sectional geometry along its length. Experiments will be run, with assistance from skilled technicians, for comparison with the model.
Further information is available in the attached file and at https://www.maths.adelaide.edu.au/research/tam.html.
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.