- Professor Vo Anh, Swinburne University of Technology
This project aims to develop a mathematical framework to investigate the memory effect and anomalous diffusion in viscoelastic, non-Newtonian fluids.
We aim to generate new knowledge on the formulation and estimation of the multi-term fractional space-time models governing the flow and heat transfer of these fluids. This will be based on recent advances in fractional calculus, computational methods and statistical techniques.
We expect to uncover a new and efficient computational system to model the thermal properties as well as new insights into the mechanisms for heat transfer enhancement of nanofluids relevant for industrial applications.
You'll be working with Professor Fawang Liu and the Fractional dynamical systems and applications team.
You'll be required to:
- conduct a thorough preliminary literature review
- undertake coursework where needed
- attend school seminars
- derive, design and implement numerical methods for solving fractional differential equations
- attend and present your work at relevant conferences
- conduct numerical experiments to verify the theoretical analysis.
You'll be expected to write a number of journal papers depending on your study level:
PhD: 4-6 refereed Q1 journal papers.
Honours or Master of Philosophy: 1-2 refereed Q1 journal papers.
Skills and experience
We expect you to have significant experience in computational mathematics and MATLAB.
Please contact the supervisor for any other required skills and experiences.
You may be able to apply for a research scholarship in our annual scholarship round.
- Fractional dynamical models
- Numerical methods
- Numerical analysis
- Parameter estimation
- literature review
Contact the supervisor for more information.