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Mathematical Modelling of Smectic Liquid Crystals

20072020

Research output per year

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Personal profile

Area of academic expertise - outline

  • Mathematical modelling of liquid crystals
  • Ultrasonics
  • Fluid Dynamics

Current research activities

  • Theoretical models of ultrasonic transducers incorporating spherical resonators (with Mulholland and Malhi, Strathclyde)
  • Asymptotic properties of radial A+B->C reaction fronts (with Trevelyan, USW)
  • Optimisation of  transducer design parameters for wideband devices
  • Sierpinski Carpet Inspired Ultrasonic Transducers (with Koubayssi and Roach, USW)
  • Boundary conditions on 2D planar- and cylindrically-layered Smectic liquid crystals (with Al Sallo and Boswell, USW)
  • Mathematical modelling of nutrient flow in egg clusters (with Sloman et al., UWS/UNT)
  • Mathematical modelling of anthropogenic noise and its impact on aquatic biotic interactions (with Alexander, McLellan and Hughes, UWS)
  • Experimental, numerical and analytical modelling of Nano fluid assisted heat exchanger systems

Desired research direction

  • Mathematical modelling of anisotropic fluids.
  • Design, modelling and fabrication of novel piezoelectric and electrostatic ultrasonic transducers.
  • Modelling Allee effects with food webs.
  • Mathematical modelling of nano-particles in heat exchanger fluids.
  • Impact of anthropogenic noise on aquatic biotic interactions.

Target collaborative companies

Alba Ultrasound

Target collaborative organisations

Centre for Ultrasonic Engineering

Other areas of expertise available for knowledge exchange

  • Basic Statistics and Probability
  • Mathematical software packages expertise (Matlab, Mathematica, Maple, COMSOL)
  • Researcher Development Mentoring

External positions

Committee Member, Scottish Mathematical Council

2016 → …

Visiting Researcher, University of South Wales

2014 → …

Keywords

  • QC Physics
  • mathematics
  • fluid dynamics
  • ultrasonics
  • ultrasound
  • non-Newtonian fluids
  • modelling

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Research Output

Structure of smectic-A liquid crystals in nonuniform domains: Modeling the impact of imperfect boundaries

al Sallo, A. S., Walker, A. J. & Boswell, G. P., 17 Mar 2020, In : Physical Review E. 101, 3, 17 p., 032703.

Research output: Contribution to journalArticle

Open Access
File
  • 4 Downloads (Pure)

    Comparison of empirical and predicted substrate temperature during surface melting of microalloyed steel using TIG technique and considering three shielding gases

    Munoz De Escalona, P., Walker, A., Ogwu, A., Mridha, S. & Baker, T. N., 31 May 2019, In : Applied Surface Science. 477, p. 179-183 5 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 101 Downloads (Pure)

    Maternal fetal triage index vs. emergency severity index: increasing clinical safety by identifying and prioritising acutely unwell pregnant women

    Nisbet, L., Walker, A., Cottam, J., Thomas, M. B. K., Williams, L., Pappan, S., Anjali, J. H., Sujith, B., Lohana, S. & Mathew, S., 1 Feb 2019.

    Research output: Contribution to conferencePoster

  • Maternal fetal triage index vs. emergency severity index: increasing clinical safety by identifying and prioritising acutely unwell pregnant women

    Nisbet, L., Walker, A., Cottam, J., Thomas, M. B. K., Williams, L., Pappan, S., Anjali, J. H., Sujith, B., Lohana, S. & Mathew, S., 28 Jun 2019.

    Research output: Contribution to conferencePoster

  • Mathématiques sans Frontières 2019

    Walker, A., 4 Aug 2019, Mathematics Today, 55, 4, p. 139 1 p.

    Research output: Contribution to specialist publicationArticle

    Open Access
    File

    Prizes

    Fellow of the Higher Education Academy

    Alan Walker (Recipient), 12 Sep 2016

    Prize: Fellowship awarded competitively

    Activities

    STEM Ambassador/Teacher Networking Event for Renfrewshire and Inverclyde Schools

    Alan Walker (Participant)
    4 Feb 2020

    Activity: OtherTypes of Public engagement and outreach - Schools engagement

    Teacher/Ambassador Session for East Ayrshire

    Alan Walker (Participant)
    23 Jan 2020

    Activity: OtherTypes of Public engagement and outreach - Schools engagement

    Careers in Mathematics Presentation - Trinity High School

    Alan Walker (Speaker)
    4 Feb 2020

    Activity: OtherTypes of Public engagement and outreach - Schools engagement

    Mathematics Scrutiny Day and Field Board

    Alan Walker (Examiner)
    12 Jun 201913 Jun 2019

    Activity: OtherTypes of External academic engagement - Membership of peer review panel or committee

    Maths Wi Nae Borders - Marker

    Alan Walker (Examiner)
    1 Nov 2019

    Activity: OtherTypes of Public engagement and outreach - Schools engagement

    Press / Media

    Grange Academy retain Scottish title

    Alan Walker

    26/06/19

    1 item of Media coverage

    Press/Media: Public Engagement Activities

    Pipe Organ Inspired Ultrasonic Transducers

    Botong Zhu, James Windmill, Benjamin Tiller, Anthony J. Mulholland, Alan Walker & Anthony Mulholland

    8/11/181/03/19

    4 items of Media coverage, 1 Media contribution

    Press/Media: Research

    Profiles