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.
I currently have PhD, MRes and MPhil projects available and prospective applicants should email me at firstname.lastname@example.org.
I have previously taken the roles of Director of Research, REF coordinator, Deputy Head of Department, and acting Head of Department. These roles involved strategic leadership and development, staff review, as well as oversight of all academic and teaching matters, including undergraduate and masters course development, awards and appeals matters.
Over the last few years I have become increasingly interested in the effects of online teaching methods for mathematics, including the use of lecture capture. I have developed online resources that can enhance standard lecture classes, but I have also created a number of completely online maths modules, designed for distance learning and to assist in widening participation, particularly through the Graduate Apprenticeship programme.
I teach, or have taught, various courses - at undergraduate, masters and postgraduate level, and to mathematicians, phsyicists, engineers, chemists and environmental scientists.
Over the last few years I have become increasingly interested in the effects of online teaching methods in mathematics, including the use of lecture capture. I have developed online resources that can enhance standard lecture classes, but I have also created a number of completely online maths modules, designed for distance learning and to assist in widening participation, particularly through the Graduate Apprenticeship programme.
Current PhD students:
- Areej Abdullah Almuneef
- Zuhur Moraya Alqahtani
- Josh Walton
- Pretheepan Radhakrishnan
- Joseph Cousins
- Magdalena Lesniewska
- John Barrett
- Erika Allen
- MM512: Optimisation: Theory and Practice
- MM401: Communicating Mathematics and Statistics
- MM301: Linear Algebra
- EO001: Mathematics for University Enginnering (online distance learning class)
- EO101 and EO109: Mathematical Tools (online distance learning class)
- MM405: Fluids and Waves
- MA409: Calculus of Variations
- MM311: Mathematics for Physicists
- MM202: Advanced Calculus
- MM201: Linear Algebra and Differential Equations
- ME209: Mathematical Modelling & Analysis for Mechanical Engineers
- MM101: Introduction to Calculus
- MM112/113: Engineering Mathematics
- MM116: Mathematics for Chemists
- CPD: Ordinary Differential Equations for NERC PhD students
- MSc: Displaymasters
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.
- Edinburgh Mathematical Society (External organisation)
- LMS Bath-Oxford-Strathclyde Network on Anisotropic Materials
- Student Experience And Enhancement Services (Organisational unit)
- Newcastle University (External organisation)
- Newcastle University (External organisation)
- SIAM Annual Meeting and Materials Science Conference
more professional activities
- 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
- Mottram, Nigel (Principal Investigator) McKay, Geoffrey (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
- Industrial Case Account 2016 | Cousins, Joseph
- Wilson, Stephen (Principal Investigator) Mottram, Nigel (Co-investigator) Cousins, Joseph (Research Co-investigator)
- 01-Jan-2016 - 01-Jan-2020
- 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
Mathematics and Statistics
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