Personal statement
My research interests are in the mathematical modelling of real-world systems, generally focussing on those that include the dynamics of non-Newtonian fluids. I am particularly interested in anisotropic fluids such as liquid crystals, where viscoelasticity is an important consideration, as is their behaviour under electric fields. I also have projects in the areas of medical and biological systems. Current projects also include investigations of active fluids, such as bacterium or micro-organism organisation within fluid flows, and biological flow systems.
In a wider context I am a member of the British Liquid Crystal Society, the Edinburgh Mathematical Society, and a Fellow of the Institute for Mathematics and its Applications, as well as an active participant in the European Consortium for Mathematics in Industry and the UK Fluids Network.
I am interested in mathematics applied to real-world problems in a general sense and I welcome enquiries from anyone interested to understand more about mathematical modelling.
Research interests
Continuum theory of anisotropic materials
- Anisotropy in the natural environment: swimming/self-organised organisms, tissue growth, mixing
- Order parameter changes in nematic liquid crystals: defects, field induced changes, Q tensor theory.
- Theories of biaxial nematic liquid crytals
- Surface effects: induced order, bistabilty in anisotropic fluids.
- Disclination line motion: annihilation, formation, effects of electric field and surface interactions.
- Thin films: flow in thin films of anisotropic fluids, painting and spin-coating.
- Use of fractional calculus to represent memory in dynamical systems.
- Physiologically-based Pharmacokinetics and dynamics
- Blood flow: non-newtonian models of blood flow in microfluidic devices.
- Oxygen transfer: novel medical device modelling for artificial livers.
Collaborations
- I collaborate with scientists from many different disciplines and many countries around the world.
- My industrial collaborations currently include GSK, Merck and Kirkstall and past collaborators include HP, Sharp, Dow Corning.
Professional activities
- Edinburgh Mathematical Society (External organisation)
- Advisor
- 2019
- Newcastle University (External organisation)
- Advisor
- 2018
- Newcastle University (External organisation)
- Advisor
- 2018
- Student Experience And Enhancement Services (Organisational unit)
- Advisor
- 2018
- LMS Bath-Oxford-Strathclyde Network on Anisotropic Materials
- Organiser
- 2018
- SIAM Annual Meeting and Materials Science Conference
- Participant
- 2018
More professional activities
Projects
- London Mathematical Society Durham-Oxford-Strathclyde Network on Anisotropic Materials
- Majumdar, Apala (Principal Investigator) Mottram, Nigel (Co-investigator)
- 01-Jan-2019 - 31-Jan-2020
- Doctoral Training Partnership 2018-19 University of Strathclyde | Allen, Erika
- McKay, Geoffrey (Principal Investigator) Mottram, Nigel (Co-investigator) Allen, Erika (Research Co-investigator)
- 01-Jan-2019 - 01-Jan-2022
- Doctoral Training Partnership 2018-19 University of Strathclyde | Lesniewska, Magdalena
- Henrich, Oliver (Principal Investigator) Mottram, Nigel (Co-investigator) Lesniewska, Magdalena (Research Co-investigator)
- 01-Jan-2018 - 01-Jan-2022
- EPSRC Global Challenges Research Fund Institutional Sponsorship Award 2017 (GCRF) / R171051-104
- Mottram, Nigel (Principal Investigator)
- 01-Jan-2017 - 31-Jan-2018
- Mathematical Modelling and Analysis of Industrially-Important Flows of Liquid Crystals: Spreading and Channel Filling
- Wilson, Stephen (Principal Investigator) Mottram, Nigel (Co-investigator)
- 01-Jan-2016 - 30-Jan-2020
- Industrial Case Account 2016 | Cousins, Joseph
- Wilson, Stephen (Principal Investigator) Mottram, Nigel (Co-investigator) Cousins, Joseph (Research Co-investigator)
- 01-Jan-2016 - 25-Jan-2021
More projects
Address
Mathematics and Statistics
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