I have over 30 years experience in developing and analysing mathematical models for complex physical processes as well as challenging and correcting accepted theories and methodologies. In the EU I play a role in the promotion of practical applications of mathematics as a Board Member of the European Consortium for Mathematics in Industry, co-ordinator of European Study Groups with Industry and Editor of the ECMI Annual Report. I am also an editor for the archive Mathematics in Industry Reports (CUP) and the Springer-RSME Book Series.
In a wider context I am currently a member of the EMS Committee for Developing Countries and also the Advisory Committee for Eastern Africa Universities Mathematics Programme.
I have contributed to the advancement of mathematical modelling of phase change, optics at the nanoscale, thin film flow, nanofluids and the Heat Balance Integral Method. My current work focusses on the capture of environmental contaminants and the application of mathematics to environmental problems.
Environmental Applications of Mathematics
Phase Change
Heat Transfer
Nanotechnology
Industrial Mathematics
Mitigating environment contamination via mathematics (MINERVA). Ministerio de Ciencia e Innovación. PI: T. Myers, 01/09/2024-31/12/2027. 187.000 €.
Environmental applications of diffusion with a moving boundary. Ministerio de Ciencia e Innovación. PI: T. Myers, 01/09/2021-31/12/2024. 140.070 €.
Multiscale Mathematical Modelling of Capture, Storage and Extraction of CO2 and Hydrogen,. PI: Font Martinez. (U. Politecnica de Catalunya). 01/12/2022-03/11/2024. 64.000 €.
Author of 175 documents on ORCID, below is a small selection:
On the development of a consistent mathematical model for adsorption in a packed column (and why standard models fail). TG Myers, A Cabrera-Codony, A Valverde. International Journal of Heat and Mass Transfer 202, 2023
Mathematical analysis of a Sips-based model for column adsorption. M Aguareles, E Barrabés, T Myers, A Valverde. Physica D: Nonlinear Phenomena 448, 2023
Optics Near Surfaces and at the Nanometer Scale (SpringerBriefs in Physics). W. Bacsa, R. Bacsa, T. Myers, 2020
Mathematical modelling of carbon capture in a packed column by adsorption. TG Myers, F Font, MG Hennessy
Applied Energy 278, 2020
Modelling ultra-fast nanoparticle melting with the Maxwell–Cattaneo equation. MG Hennessy, M Calvo-Schwarzwälder, TG Myers. Applied Mathematical Modelling 69, 2019
Asymptotic reduction of a porous electrode model for lithium-ion batteries. IR Moyles, MG Hennessy, TG Myers, BR Wetton. SIAM Journal on Applied Mathematics 79 (4), 2019
A practical evaluation of the performance of Al2O3-water, TiO2-water and CuO-water nanofluids for convective cooling. FS Alkasmoul, MT Al-Asadi, TG Myers, HM Thompson, MCT Wilson. International Journal of Heat and Mass Transfer 126, 2018
Modelling the efficiency of a nanofluid-based direct absorption parabolic trough solar collector. GJ O’Keeffe, SL Mitchell, TG Myers, V Cregan. Solar Energy 159, 2018
Does mathematics contribute to the nanofluid debate? TG Myers, H Ribera, V Cregan. International Journal of Heat and Mass Transfer 111, 2017
Why are slip lengths so large in carbon nanotubes? TG Myers. Microfluidics and nanofluidics 10 (5), 2011
Application of standard and refined heat balance integral methods to one-dimensional Stefan problems. SL Mitchell, TG Myers. SIAM review 52 (1), 2010
A mathematical model for atmospheric ice accretion and water flow on a cold surface. TG Myers, JPF Charpin
International Journal of Heat and Mass Transfer 47 (25), 2004
The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface. TG Myers, JPF Charpin, SJ Chapman. Physics of Fluids 14 (8), 2002
Extension to the Messinger model for aircraft icing. TG Myers. AIAA journal 39 (2), 2001
Thin films with high surface tension. TG Myers. SIAM review 40 (3), 1998