Research areas

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

Area of research 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 (National, International, up to 3).

Alba Ultrasound

Target Collaborative Organisations (National, International, up to 3).

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

Research output

  1. Pipe Organ Air-Coupled Broad Bandwidth Transducer

    Research output: Contribution to conferencePaper

  2. A Pipe Organ-Inspired Ultrasonic Transducer

    Research output: Contribution to journalArticle

  3. The Effectiveness of a Sierpinski Carpet Inspired Transducer

    Research output: Contribution to journalArticle

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  1. Careers in Mathematics

    Activity: Talk or presentationInvited talk

  2. Hidden Mathematics

    Activity: Talk or presentationInvited talk

  3. Mathematical Beauty

    Activity: Talk or presentationInvited talk

View all (31) »


  1. Fellow of the Higher Education Academy

    Prize: Fellowship awarded competitively

View all (1) »

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