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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 → …


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

Fingerprint Dive into the research topics where Alan Walker is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Ultrasonic transducers Engineering & Materials Science
Liquid crystals Engineering & Materials Science
Transducer Mathematics
liquid crystals Physics & Astronomy
transducers Physics & Astronomy
Piezoelectric transducers Engineering & Materials Science
Transducers Engineering & Materials Science
ultrasonics Physics & Astronomy

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 2007 2019

91 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

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

Pregnant Women

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
2 Citations (Scopus)
104 Downloads (Pure)

Asymptotic properties of radial A+B→C reaction fronts

Trevelyan, P. & Walker, A., 13 Sep 2018, In : Physical Review E. 98, 15 p., 032118 .

Research output: Contribution to journalArticle

Open Access
asymptotic properties
Asymptotic Properties
Contact Line
Large Time Asymptotics
Asymptotic Limit

Grange Academy win maths prize

Walker, A., 12 Aug 2018, Mathematics Today, 54, 4, p. 127 1 p.

Research output: Contribution to specialist publicationArticle

Open Access


Fellow of the Higher Education Academy

Alan Walker (Recipient), 12 Sep 2016

Prize: Fellowship awarded competitively

Activities 2010 2020

Teacher/Ambassador Session for East Ayrshire

Alan Walker (Participant)
23 Jan 2020

Activity: OtherTypes of Public engagement and outreach - Schools engagement

What Makes a Mathematician

Alan Walker (Presenter)
21 Oct 2019

Activity: OtherTypes of Public engagement and outreach - Schools engagement


Alan Walker (Presenter)
30 May 2019

Activity: OtherTypes of Public engagement and outreach - Schools engagement

The Scottish Mathematical Council Journal (Journal)

Alan Walker (Peer reviewer)
1 Jul 2019

Activity: Publication peer-review and editorial workPublication peer-review

UWE External Examiner Conference

Alan Walker (Participant)
9 Jan 2019

Activity: Participating in or organising an eventParticipation in conference

Press / Media

Grange Academy retain Scottish title

Alan Walker


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


4 items of Media coverage, 1 Media contribution

Press/Media: Research