• United Kingdom

Accepting PhD Students

PhD projects

Industrial mathematics: in particular fluid dynamics, liquid crystal theory

20012020

Research output per year

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Research Output

2020

Electrically controlled topological micro cargo transportation

Bhadwal, A. S., Mottram, N. J., Saxena, A., Sage, I. C. & Brown, C. V., 28 Mar 2020, In : Soft Matter. 16, 12, p. 2961-2970 10 p.

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)
10 Downloads (Pure)
2019

Derivative-order-dependent stability and transient behaviour in a predator-prey system of fractional differential equations

Alqahtani, Z. M., El-Shahed, M. & Mottram, N. J., 11 Dec 2019, In : Letters in Biomathematics. 6, 1, p. 32-49 18 p.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
5 Downloads (Pure)

Microfluidic Flow of Colloid-Liquid Crystal Composite Materials

Lesniewska, M., Henrich, O. & Mottram, N., 5 Jun 2019.

Research output: Contribution to conferencePoster

Squeezing a drop of nematic liquid crystal with strong elasticity effects

Cousins, J. R. L., Wilson, S. K., Mottram, N. J., Wilkes, D. & Weegels, L., 22 Aug 2019, In : Physics of Fluids. 31, 8, 41 p., 083107 .

Research output: Contribution to journalArticle

Open Access
File
34 Downloads (Pure)
2018

A model for the formation of mura during the One-Drop-Filling process

Cousins, J. R. L., Wilson, S. K., Mottram, N. J., Wilkes, D., Weegels, L. & Lin, KY., 6 Dec 2018, p. LCT8-4. 3 p.

Research output: Contribution to conferencePaper

Open Access
File
1 Citation (Scopus)
78 Downloads (Pure)

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., 022702.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
72 Downloads (Pure)
2017

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 proceedingConference contribution book

Open Access
File
72 Downloads (Pure)

In-silico characterisation of the Kirkstall QV900 in-vitro system for advanced cell culture

McGinty, S., Hyndman, L., Mottram, N., McKee, S. & Webb, S., 10 Apr 2017, CMBE17: 5th International Conference on Computational & Mathematical Biomedical Engineering. Nithiarasu, P. & Robertson, A. M. (eds.). Swansea, p. 1174-1177 4 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
9 Downloads (Pure)
2016

Analytic solutions of a simple advection-diffusion model of an oxygen transfer device

McKee, S., Dougall, E. A. & Mottram, N. J., 13 Apr 2016, In : Journal of Mathematics in Industry. 6, 1, 22 p., 3.

Research output: Contribution to journalArticle

Open Access
File
3 Citations (Scopus)
40 Downloads (Pure)

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., 24 Oct 2016, In : Physical Review E. 94, 13 p., 043112.

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)
127 Downloads (Pure)

Electric fields can control the transport of water in carbon nanotubes

Ritos, K., Borg, M. K., Mottram, N. J. & Reese, J. M., 1 Feb 2016, In : Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences. 374, 2060, 19 p., 20150025.

Research output: Contribution to journalArticle

Open Access
File
29 Citations (Scopus)
61 Downloads (Pure)

Flow-induced delayed Freedericksz transition

Mottram, N., McKay, G., Brown, C., Russell, C. & Sage, I., 15 Mar 2016, In : Physical Review E. 93, 3, 4 p., 030701(R).

Research output: Contribution to journalArticle

Open Access
File
152 Downloads (Pure)
2014

Deformation of a nearly-hemispherical conducting drop due to an electric field: theory and experiment

Corson, L. T., Tsakonas, C., Duffy, B. R., Mottram, N. J., Sage, I. C., Brown, C. V. & Wilson, S. K., 19 Dec 2014, In : Physics of Fluids. 26, 12, 20 p., 122106.

Research output: Contribution to journalArticle

Open Access
File
19 Citations (Scopus)
247 Downloads (Pure)

Introduction to Q-tensor theory

Mottram, N. & Newton, C. J. P., 12 Sep 2014.

Research output: Working paper

Open Access
File
101 Downloads (Pure)
2013

Decoupling of the Ericksen-Leslie equations

Mottram, N., Pinto, J. T. & McKay, G., 2013, In : Liquid Crystals. 40, 6, p. 787-798

Research output: Contribution to journalArticle

4 Citations (Scopus)

Mutistable Reflective Liquid Crystal Device

Mottram, N. & Davidson, A., 4 Apr 2013, IPC No. G02F1/1333; G02F1/1335; G02F1/1337; G02F1/1343; G02F1/139, Patent No. ES2399925 (T3), Priority date 7 Jun 2006, Priority No. GB20060011141 20060607

Research output: Patent

Open Access
2012

Kickback in nematic liquid crystals

Da Costa, F. P., Grinfeld, M., Langer, M., Mottram, N. J. & Pinto, J. T., Mar 2012, In : Quarterly of Applied Mathematics . 70, 1, p. 99-110 12 p.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
94 Downloads (Pure)
2011

Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces

Mottram, N., Brown, C. & McHale, G., 22 Jul 2011, In : Journal of Applied Physics. 110, 2, p. 1-5 5 p., 024107.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Conformal mapping techniques for the modelling of liquid crystal devices

Mottram, N. & Davidson, A., 24 Jan 2011, In : European Journal of Applied Mathematics. 23, p. 99-119 21 p.

Research output: Contribution to journalArticle

22 Citations (Scopus)

Nematic viscosity estimation using director kickback dynamics

Grinfeld, M., Langer, M. & Mottram, N., 2011, In : Liquid Crystals. 38, p. 981-987 7 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
2010
21 Citations (Scopus)

Static alignment states in a bistable azimuthal nematic device with blazed grating sidewalls

Mottram, N., Evans, C., Brown, C. & Davidson, A., 15 Dec 2010, In : Journal of Physics D: Applied Physics. 43, 49, p. 1-8 8 p., 495105.

Research output: Contribution to journalArticle

10 Citations (Scopus)
2009

Asymptotic and numerical analysis of a simple model for blade coating

Quintans Carou, J., Wilson, S. K., Mottram, N. J. & Duffy, B. R., 2009, In : Journal of Engineering Mathematics. 63, 2-4, p. 155-176 22 p.

Research output: Contribution to journalArticle

Open Access
File
8 Citations (Scopus)
66 Downloads (Pure)

Sidewall control of static azimuthal bistable nematic alignment states

Ladak, S., Davidson, A. J., Brown, C. V. & Mottram, N. J., Apr 2009, In : Journal of Physics D: Applied Physics. 42, 8, 8 p., 085114.

Research output: Contribution to journalArticle

Open Access
File
18 Citations (Scopus)
104 Downloads (Pure)

Uniqueness in the Freedericksz transition with weak anchoring

Da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T. & FCT Portugal (partly supported) (Funder), 1 Apr 2009, In : Journal of Differential Equations. 246, 7, p. 2590-2600 11 p.

Research output: Contribution to journalArticle

Open Access
File
7 Citations (Scopus)
28 Downloads (Pure)
2008

Flexoelectric polarisation effects in nematic liquid crystal phase gratings

Trabi, C. L., Smith, A. A. T., Mottram, N. J. & Brown, C. V., 2008, p. R500.

Research output: Contribution to conferencePaper

File
1 Citation (Scopus)
67 Downloads (Pure)

Interferometric method for determining the sum of the flexoelectric coefficients (e1+e3) in an ionic nematic material

Trabi, C. L., Brown, C. V., Smith, A. A. T. & Mottram, N. J., 5 Jun 2008, In : Applied Physics Letters. 92, 22, 3 p., 223509.

Research output: Contribution to journalArticle

Open Access
File
14 Citations (Scopus)
92 Downloads (Pure)
2007
13 Citations (Scopus)

Multistable alignment states in nematic liquid crystal filled wells

Tsakonas, C., Davidson, A. J., Brown, C. V. & Mottram, N. J., 2007, In : Applied Physics Letters. 90, p. 111913

Research output: Contribution to journalArticle

66 Citations (Scopus)

Theoretical analysis of the magnetic Freedericksz transition in the presence of flexoelectricity and ionic contamination

Smith, A. A. T., Brown, C. V. & Mottram, N. J., 18 Apr 2007, In : Physical Review E. 75, 4, p. 041704-041712 8 p.

Research output: Contribution to journalArticle

Open Access
File
15 Citations (Scopus)
9 Downloads (Pure)
2006

Bistable liquid crystal device

Mottram, N., Ramage, A., Kelly, G. & Davidson, A., 8 Jun 2006, IPC No. G02F1/1333; G02F1/136; G02F1/139; G02F1/1337, Patent No. WO 2006059128 A1, Priority date 3 Dec 2004, Priority No. WO2005GB04635 20051205

Research output: Patent

Open Access
7 Citations (Scopus)

Shear-driven and pressure-driven flow of a nematic liquid crystal in a slowly varying channel

Quintans Carou, J., Duffy, B., Mottram, N. & Wilson, S., 1 Feb 2006, In : Physics of Fluids. 18, 2, 13 p., 027105.

Research output: Contribution to journalArticle

Open Access
File
10 Citations (Scopus)
8 Downloads (Pure)
2005

Effects of weak anchoring on C1 and C2 chevron structures

Diaz, A., McKay, G. & Mottram, N., 2005, In : Molecular Crystals and Liquid Crystals. 438, p. 1581-1589 8 p.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
139 Downloads (Pure)

Electric field effects on nematic wetting layers

Kelly, G., Mottram, N. J. & Ramage, A., 2005, In : Molecular Crystals and Liquid Crystals. 438, 1, p. 1835-1846 11 p.

Research output: Contribution to journalArticle

Open Access
File
4 Downloads (Pure)

Evolution from A +2 Defect to +1/2 Defects in a Cylindrical Geometry

Miroshnychenko, D., Hill, N. A., Mottram, N. J. & Lydon, J. E., 2005, In : Molecular Crystals and Liquid Crystals. 437, p. 1495-1512 17 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2 Citations (Scopus)
2004

Competing polarization effects in a homeotropically aligned smectic liquid crystal

McKay, G., MacKenzie, K. R. & Mottram, N. J., 2004, In : Ferroelectrics. 309, p. 35-41 6 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Flow effect in director relaxation of bookshelf aligned smectic C liquid crystals

Woods, P. D., Stewart, I. W. & Mottram, N. J., 2004, In : Molecular Crystals and Liquid Crystals. 413, 1, p. 271-278 7 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Molecular simulation of chevrons in confined smectic liquid crystals

Mottram, N., Webster, R. E. & Cleaver, D. J., 26 Aug 2003, In : Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics . 68, p. 021706-1 21705 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2002
93 Citations (Scopus)

Flow induced by director relaxation in smectic C* materials

Woods, P. D., Mottram, N. J. & Stewart, I. W., 2002, In : Ferroelectrics. 277, p. 251-258 7 p.

Research output: Contribution to journalArticle

In-layer defects in smectic C materials

Ramage, A. & Mottram, N. J., 2002, In : Ferroelectrics. 278, 3, p. 57-65 8 p.

Research output: Contribution to journalArticle

Magnetic field-induced changes in molecular order in nematic liquid crystals

Mottram, N. J. & Hogan, S. J., Jun 2002, In : Continuum Mechanics and Thermodynamics. 14, 3, p. 281-295 14 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

The effect of elastic anisotropy on nematic disclination lines

Kelly, G., Mottram, N. & Ramage, A., 31 Oct 2002, In : British Liquid Crystal Society Newsletter.

Research output: Contribution to journalArticle

Open Access
File
13 Downloads (Pure)
2001

A chevron model of the electroclinic effect across the SA*-SC* phase transition in a SSFLC

Beldon, S. M., Mottram, N. J. & Elston, S. J., 2001, In : Molecular Crystals and Liquid Crystals. 365, 1, p. 729-783 54 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Surface evanescent field characterisation of antiferroelectric liquid crystals

Beccherelli, B., Judge, L. A., Mottram, N. J. & Elston, S. J., 2001, In : Molecular Crystals and Liquid Crystals. 358, 1, p. 263-274 11 p.

Research output: Contribution to journalArticle

The influence of polar surface anchoring on switching in antiferroelectric liquid crystals

Mottram, N. J. & Elston, S. J., 2001, In : Molecular Crystals and Liquid Crystals. 364, 1, p. 361-371 10 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)