I'm interested in fluids that don't behave like the standard (air, water, honey) Newtonian model. This has led me to
study particles suspended in a viscous fluid (for example, with my recent Ph.D. student Adam Townsend below);
polymeric liquids (for instance, with my first Ph.D. student Sally Everitt); instabilities in elastic liquids (including work with my Ph.D. student Hugo Castillo Sanchez and a collaboration with Suzanne Fielding at Durham on shear-banding instabilities). This field also has a wide range of industrial applications; I have had two postdocs working on instabilities in industrially relevant materials, and there is a current project related to oral health products (toothpaste) with Ph.D. student Liam Escott and postdoc Jurriaan Gillissen.
Recent or current funded projects include:
Shear-thickening fluids for cryopreservation in which we are exploring whether interactions between particles in suspension can inhibit the growth of ice crystals. This work is led by Asymptote and funded by Innovate UK.
Complex ORAL health products (CORAL): Characterisation, modelling and manufacturing challenges. Here we are working with UCL Engineers and commercial sponsor GSK to investigate the rheology of three-phase suspensions in a viscoelastic matrix, with application to toothpastes. This work is funded by EPSRC.
Extensional Rheology Matters, a small project funded by EPSRC in which I am aiming to develop tools to assess whether extensional flow components are important in a given flow situation.
Liam Escott: Processing suspensions with a non-Newtonian fluid matrix. Started October 2016, UCL
Hugo Castillo Sanchez: Instabilities in shear-thinning fluids. Started October 2015, UCL Adam Townsend, PhD (2017): The mechanics of suspensions, UCL
Thomas Brickell, MPhil (2012): General two-dimensional linear flows of particle suspensions, UCL
Sally Everitt, PhD (2004): Bubble dynamics in polymeric foams, University of Leeds
Complex oral health products:
Jurriaan Gillissen. Started September 2017.
Shear-thickening for cryopreservation: Adam Townsend, 2016.
Instabilities in polymer processing:
Mehmet Sahin, 2005-2007;
Tim Reis, 2007-2008.
Non-technical articles Case study for the Royal Society on how a supportive employer can support a mother on her return to work. Blog post and TV news interview commenting on the award of the Fields Medal to a female mathematician for the first time. The D'Hondt Method Explained: brief explanation of an easier way to understand the allocation of seats at the European elections Interview in International Innovation, issue 191: "What is mathematics?", August 2015 (Research Media, UK, pp48-51), ISSN 2054-6254.