Alan Walker

Dr

Accepting PhD Students

PhD projects

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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