Professor Nigel Mottram

Visiting Professor

Mathematics and Statistics

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.

Expertise

Has expertise in:

    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.

     

Prizes and awards

2017 Hilsum Medal
Recipient
2017
Fellowship of the Institute for Mathematics and its Applications
Recipient
2014
200 Young Scientist Award
Recipient
2000

more prizes and awards

Qualifications

Biography
  • 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 Prof. S. J. Hogan (external link)
  • 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 Dr S. J. Elston (external link).
  • 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.

Publications

Electro-manipulation of droplets for microfluidic applications
Corson L T, Tsakonas C, Duffy B R, Mottram N J, Brown C V, Wilson S K
Progress in Industrial Mathematics at ECMI 2014 ECMI 2014 - European Consortium for Mathematics in Industry Mathematics in Industry Vol 22, pp. 1073-1080 (2017)
https://doi.org/10.1007/978-3-319-23413-7
Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field
Corson L T, Mottram N J, Duffy B R, Wilson S K, Tsakonas C, Brown C V
Physical Review E Vol 94 (2016)
https://doi.org/10.1103/PhysRevE.94.043112
Analytic solutions of a simple advection-diffusion model of an oxygen transfer device
McKee Sean, Dougall Ewan A, Mottram Nigel J
Journal of Mathematics in Industry Vol 6 (2016)
https://doi.org/10.1186/s13362-016-0019-3
Flow-induced delayed Freedericksz transition
Mottram Nigel, McKay Geoffrey, Brown Carl, Russell Craig, Sage Ian
Physical Review E Vol 93 (2016)
https://doi.org/10.1103/PhysRevE.93.030701
Electric fields can control the transport of water in carbon nanotubes
Ritos Konstantinos, Borg Matthew K, Mottram Nigel J, Reese Jason M
Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences Vol 374 (2016)
https://doi.org/10.1098/rsta.2015.0025
Deformation of a nearly-hemispherical conducting drop due to an electric field : theory and experiment
Corson Lindsey T, Tsakonas Costas, Duffy Brian R, Mottram Nigel J, Sage Ian C, Brown Carl V, Wilson Stephen K
Physics of Fluids Vol 26 (2014)
https://doi.org/10.1063/1.4903223

more publications

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, 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
LMS Bath-Oxford-Strathclyde Network on Anisotropic Materials
Organiser
2018
Student Experience And Enhancement Services (Organisational unit)
Advisor
2018
Newcastle University (External organisation)
Advisor
2018
SIAM Annual Meeting and Materials Science Conference
Participant
2018
Newcastle University (External organisation)
Advisor
2018

more professional activities

Projects

Control of free-surface flow morphologies in anisotropic liquids
Mottram, Nigel (Principal Investigator) Wilson, Stephen (Co-investigator)
01-Jan-2019 - 31-Jan-2023
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 - 01-Jan-2021

more projects

Address

Mathematics and Statistics
Livingstone Tower

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