Projects per year
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.
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.
- 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.
Academic / Professional qualifications
- 1989-1992: BA in Mathematics at the University of Oxford (Keble College).
- 1992-1996: PhD in the Department of Engineering Mathematics at the University of Bristol. Boundary effects in nematic liquid crystal cells, supervised by
- 1995-1997: Post Doctoral Research Assistant in the Department of Engineering Mathematics at the University of Bristol. Working on nematic liquid crystal theory with Prof. Hogan.
- 1997-1999: Post Doctoral Research Assistant in the Department of Engineering Science at the University of Oxford. Working on smectic liquid crystal theory with .
- 1999-2004: Lecturer in the Department of Mathematics at the University of Strathclyde.
- 2001-2006: EPSRC Advanced Research Fellow
- 2004-2007: Reader in the Department of Mathematics at the University of Strathclyde.
- 2007-present: Professor in the Department of Mathematics and Statistics at the University of Strathclyde.
Expertise & Capabilities
Research areas of expertise
- Mathematical modelling of real-world systems
- Fluid dynamics
- Liquid crystal theory
- Optical devices
- Multiphyscics models
- Numerical simulation of fluids, electrostatics, ions.
- liquid crystals
- anisotropic material science
- mathematical modelling
- environmental modelling
- active fluids
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1/12/19 → 31/07/20
Project: Knowledge Exchange
Young and Young-Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium statesCousins, J. R. L., Duffy, B. R., Wilson, S. K. & Mottram, N. J., 30 Mar 2022, In: Proceedings A: Mathematical, Physical and Engineering Sciences. 478, 2259, 24 p., 20210849.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile2 Downloads (Pure)
da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T. & Xyxanadasy, K., 30 Jun 2021, In: Afrika Matematika. 32, p. 645-672 27 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile4 Downloads (Pure)
Experimental data for dynamic response of a thin sessile drop of conductive liquid to an applied voltage
Analytic solutions of a simple advection-diusion model of an oxygen transfer device: experimental data
Nigel Mottram (Advisor)2019 → …
Activity: Membership types › Membership of committee