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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 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.

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

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

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

Mathématiques sans Frontières report 2018

Walker, A. J. & Mekwi, W. R., Dec 2018, In : The Scottish Mathematical Council Journal. 48, p. 10-11 2 p.

Research output: Contribution to journalArticle

Open Access

The provision of mathematics and statistics support in Scottish Higher Education Institutions (2017): a comparative study by the Scottish Mathematics Support Network

Ahmed, S., Davidson, P., Durkacz, K., Macdonald, C., Richard, M. & Walker, A., 1 May 2018, In : MSOR Connections. 16, 3

Research output: Contribution to journalArticle

Open Access
2 Downloads (Pure)

“Pipe Organ” inspired air-coupled ultrasonic transducers with broader bandwidth

Zhu, B., Tiller, B., Walker, A. J., Mulholland, A. J. & Windmill, J. F. C., 31 Jul 2018, In : IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 65, 10, p. 1873-1881 9 p.

Research output: Contribution to journalArticle

Open Access
Ultrasonic transducers
Piezoelectric transducers


Fellow of the Higher Education Academy

Alan Walker (Recipient), 12 Sep 2016

Prize: Fellowship awarded competitively

Activities 2010 2019

UWE External Examiner Conference

Alan Walker (Participant)
9 Jan 2019

Activity: Participating in or organising an eventParticipation in conference

Embedding Playfulness in Mathematics

Alan Walker (Participant), Wan Mekwi (Participant)
5 Apr 2019

Activity: Participating in or organising an eventParticipation in workshop, seminar, course

What Makes a Mathematician

Alan Walker (Examiner)
15 Feb 2019

Activity: OtherTypes of Public engagement and outreach - Schools engagement

Scottish Mathematics Support Network

Alan Walker (Participant)
5 Apr 2019

Activity: OtherTypes of External academic engagement - Contribution to the work of national or international committees and working groups

Ph.D. Examination

Alan Walker (Examiner), James Windmill (Examiner)
14 Jan 2019

Activity: Examination