Projects per year

## Personal profile

### Personal Statement

I am currently the Deputy Head of Department, a role which involves strategy development and acting for the Head of Department in all academic and teaching matters, including undergraduate and masters course development, awards and appeals matters.

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, the British Rheology 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.

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 nigel.mottram@strath.ac.uk.

### 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, Kirkstall, MoD and past collaborators include HP, Sharp, Dow Corning.

### Teaching Interests

Current PhD students

- Areej Abdullah Almuneef
- Zuhur Moraya Alqahtani
- Josh Walton
- Pretheepan Radhakrishnan
- Joseph Cousins

Current teaching

- MM512: Optimisation: Theory and Practice
- EO101: Mathematical Tools (online distance learning class)
- MM116: Engineering Mathematics
- CPD: Ordinary Differential Equations for NERC PhD students

Previous teaching:

- 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

### Academic / Professional 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.

### Keywords

- liquid crystals
- anisotropic material science
- mathematical modelling
- self-organisation
- environmental modelling

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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## Projects 2006 2020

## Industrial Case Account 2016 | Cousins, Joseph

Wilson, S., Mottram, N. & Cousins, J.

EPSRC (Engineering and Physical Sciences Research Council)

1/10/16 → 1/10/20

Project: Research Studentship Case - Internally allocated › Research Studentship CASE (Internally Allocated)

## Mathematical Modelling and Analysis of Industrially-Important Flows of Liquid Crystals: Spreading and Channel Filling

1/10/16 → 30/09/20

Project: Research - Studentship › Research Studentship

## Research Output 2001 2018

## Nematic liquid crystal director structures in rectangular regions

Walton, J., Mottram, N. J. & McKay, G. 16 Feb 2018 In : Physical Review E. 97, 2, 12 p., 022702Research output: Contribution to journal › Article

## Electro-manipulation of droplets for microfluidic applications

Corson, L. T., Tsakonas, C., Duffy, B. R., Mottram, N. J., Brown, C. V. & Wilson, S. K. 5 Sep 2017*Progress in Industrial Mathematics at ECMI 2014.*Russo, G., Capasso, V., Nicosia, G. & Romano, V. (eds.). Springer, Vol. 22, p. 1073-1080 7 p. (Mathematics in Industry; vol. 22)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Datasets

## Experimental data for dynamic response of a thin sessile drop of conductive liquid to an applied voltage

Mottram, N. (Creator), Corson, L. (Creator), Brown, C. (Creator), Tsakonas, C. (Creator), University of Strathclyde, 31 May 2016

DOI: 10.15129/1d0dc167-0e9d-44b9-96d0-b44614d4ac22

Dataset

## Analytic solutions of a simple advection-diusion model of an oxygen transfer device: experimental data

Dougall, E. (Creator), University of Strathclyde, 12 Apr 2016

DOI: 10.15129/a7f7374f-7220-4b13-8a5c-0267449cbe3d

Dataset

## Thesis

## Theoretical studies of smectic liquid crystals in the presence of flow, oscillatory perturbations, and edge dislocations

Author: Snow, B. C., 1 Oct 2015Supervisor: Mottram, N. (Supervisor) & Stewart, I. W. (Supervisor)

Student thesis: Doctoral Thesis

## Prizes

## Activities 2008 2016

## Invited seminar: Bending, flexing, wrinkling and snapping of liquid drops

Mottram, N. (Contributor)Activity: Invited talk

## BLCS Winter Workshop

Mottram, N. (Participant)Activity: Participation in workshop, seminar, course