Projects per year
Personal profile
Personal Statement
My research interests are in the mathematical modelling of realworld systems, generally focussing on those that include the dynamics of nonNewtonian 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 microorganism 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 realworld 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/selforganised 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 spincoating.
 Use of fractional calculus to represent memory in dynamical systems.
 Physiologicallybased Pharmacokinetics and dynamics
 Blood flow: nonnewtonian 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.
Teaching Interests
Academic / Professional qualifications
 19891992: BA in Mathematics at the University of Oxford (Keble College).
 19921996: PhD in the Department of Engineering Mathematics at the University of Bristol. Boundary effects in nematic liquid crystal cells, supervised by Prof. S. J. Hogan (external link)
 19951997: Post Doctoral Research Assistant in the Department of Engineering Mathematics at the University of Bristol. Working on nematic liquid crystal theory with Prof. Hogan.
 19971999: Post Doctoral Research Assistant in the Department of Engineering Science at the University of Oxford. Working on smectic liquid crystal theory with Dr S. J. Elston (external link).
 19992004: Lecturer in the Department of Mathematics at the University of Strathclyde.
 20012006: EPSRC Advanced Research Fellow
 20042007: Reader in the Department of Mathematics at the University of Strathclyde.
 2007present: Professor in the Department of Mathematics and Statistics at the University of Strathclyde.
Expertise & Capabilities
Research areas of expertise
 Mathematical modelling of realworld systems
 Fluid dynamics
 Liquid crystal theory
 Optical devices
 Multiphyscics models
 Numerical simulation of fluids, electrostatics, ions.
Keywords
 liquid crystals
 anisotropic material science
 mathematical modelling
 selforganisation
 environmental modelling
 active fluids
Fingerprint
 1 Similar Profiles
Network

London Mathematical Society DurhamOxfordStrathclyde Network on Anisotropic Materials
1/12/19 → 31/07/20
Project: Knowledge Exchange

Young and YoungLaplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states
Cousins, 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 › peerreview
Open AccessFile2 Downloads (Pure) 
Steady state solutions in a model of a cholesteric liquid crystal sample
da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T. & Xyxanadasy, K., 30 Jun 2021, In: Afrika Matematika. 32, p. 645672 27 p.Research output: Contribution to journal › Article › peerreview
Open AccessFile4 Downloads (Pure)
Datasets

Experimental data for dynamic response of a thin sessile drop of conductive liquid to an applied voltage
Mottram, N. (Creator), Wilson, S. (Contributor), Duffy, B. (Contributor), Corson, L. (Creator), Brown, C. (Creator) & Tsakonas, C. (Creator), University of Strathclyde, 31 May 2016
DOI: 10.15129/1d0dc1670e9d44b996d0b44614d4ac22
Dataset

Analytic solutions of a simple advectiondiusion model of an oxygen transfer device: experimental data
Mottram, N. (Contributor), McKee, S. (Contributor) & Dougall, E. (Creator), University of Strathclyde, 12 Apr 2016
DOI: 10.15129/a7f7374f72204b138a5c0267449cbe3d
Dataset
Prizes
Activities

Edinburgh Mathematical Society (External organisation)
Nigel Mottram (Advisor)
2019 → …Activity: Membership types › Membership of committee

Newcastle University (External organisation)
Nigel Mottram (Advisor)
2018 → 2019Activity: Membership types › Membership of committee