I am interested in environmental fluid dynamics, particularly low Reynolds number free-surface flows. My research aims to model and interpret physical phenomena in the real world through mathematical approximations, numerical simulations and analogue laboratory experiments. I am currently a Lecturer in Applied Mathematics within the School of Mathematics and Statistics at the University of Melbourne.

Current research

Areas that I am currently interested in or have previously worked on include:

• Modelling the effect of rock heterogeneities on geologic CO2 storage and underground hydrogen storage
• Solute transport and diffusion in porous media
• Instabilities in flow in Hele-Shaw cells and porous media
• Non-Newtonian flows including yield-stress and granular materials, and inverse rheometry
• Free-surface viscous flows
• Modelling lava flows and their interaction with barriers and topography

Current position

Jan 2023 – continuing    Lecturer in Applied Mathematics, The University of Melbourne.

Education

2016-2020 PhD in Earth Sciences, University of Cambridge, supervised by Prof. Andrew Woods.

2011-2015 Master’s in Mathematics, St John’s College, University of Oxford.

Previous positions

Jan 2021 – Dec 2022  Harcourt-Doig Research Fellow, The University of Melbourne.

2020 Early Career Research Fellow at The University of Bristol. Three months of research supported by the London Mathematical Society, supervised by Prof. Andrew Hogg.

2018 Geophysical Fluid Dynamics Summer Fellow at Woods Hole Oceanographic Institution. Ten weeks in Cape Cod studying viscous flows. Supervised by Prof. Andrew Hogg and Prof. Herbert Huppert.

2015-2016 Graduate Analyst at HSBC Global Banking and Markets, Canary Wharf, London.

Please email me if you would like a preprint/accepted version of any of the articles below.

• [SUBMITTED] Baddoo, P.J. & Hinton, E.M. ‘Lightning Laplace solvers for moving boundary problems in porous media and Hele-Shaw cells’.
• [SUBMITTED] Hinton, E.M. & Slim, A.C. ‘Dynamics and containment of a viscous liquid atop a granular bed’.

1. [ACCEPTED] Hinton, E.M., Hewitt, D.R. & Hogg, A.J. 2023. ‘Obstructed free-surface viscoplastic flow on an inclined plane’, Journal of Fluid Mechanics.
2. Hinton, E.M., Collis, J.F. & Sader, J.E. 2023. ‘The motion of a layer of yield-stress material on an oscillating plate’, Journal of Fluid Mechanics, 959 (A32).
3. Lister, J.R. & Hinton, E.M. 2022. ‘Using a squeegee on a layer of viscous or viscoplastic fluid’, Physical Review Fluids, 7, (104101).
4. Hinton, E.M. & Jyoti, A. 2022. (Open Access) ‘Buoyancy segregation suppresses viscous fingering in horizontal displacements in a porous layer’, Journal of Fluid Mechanics, 946 (A48).
5. Saville, J.M., Hinton, E.M., & Huppert, H.E. 2022. (Open Access) ‘Predicting Safe Regions within Lava Flows over Topography’, Journal of Geophysical Research – Solid Earth, (e2022JB024167). arxiv.org/abs/2207.05917
6. Hinton, E.M. , Collis, J.F. & Sader, J.E. 2022. (Open Access) ‘A layer of yield-stress material on a flat plate that moves suddenly’, Journal of Fluid Mechanics, 942 (A30).
7. Hinton, E.M. 2022. (Open Access) ‘Inferring rheology from free-surface observations’, Journal of Fluid Mechanics Rapids, 937 (R4).
8. Hinton, E.M. & Hogg, A.J. 2022. ‘Flow of a yield-stress fluid past a topographical feature’, Journal of Non-Newtonian Fluid Mechanics, 299:104696 accepted_pdf
9. Grenfell-Shaw, J.C., Hinton, E.M. & Woods, A.W. 2021. (Open Access) ‘Instability of co-flow in a Hele-Shaw cell with cross-flow varying thickness’, Journal of Fluid Mechanics Rapids, 927 (R1). accepted_pdf
10. Hinton, E.M. & Hogg, A.J. 2021. (Open Access) ‘Modelling the influence of a variable permeability inclusion on free-surface flow in an inclined aquifer’, Water Resources Research, 57 (e2020WR029195). accepted_pdf
11. Hinton, E.M. & Woods, A.W. 2021. (Open Access) ‘Capillary trapping in a vertically heterogeneous porous layer’, Journal of Fluid Mechanics, 910 (A44).
12. Hinton, E.M. , Hogg, A.J. & Huppert, H.E. 2020. ‘Viscous free-surface flows past cylinders’, Physical Review Fluids, 5 (084101). accepted_pdf
13. Hinton, E.M. & Woods, A.W. 2020. (Open Access) ‘Shear dispersion in a porous medium. Part 2. An intrusion with a growing shape’, Journal of Fluid Mechanics, 899 (A39).
14. Hinton, E.M. & Woods, A.W. 2020. (Open Access) ‘Shear dispersion in a porous medium. Part 1. An intrusion with a steady shape’, Journal of Fluid Mechanics, 899 (A38).
15. Hinton, E.M. 2020. ‘Axisymmetric viscous flow between two horizontal plates’, Physics of Fluids, 32 (063104). Featured article. accepted_pdf
16. Hinton, E.M. , Hogg, A.J. & Huppert, H.E. 2020. ‘Shallow free-surface Stokes flow around a corner’, Philosophical Transactions of the Royal Society A, 378:20190515. accepted_pdf
17. Hinton, E.M. , Hogg, A.J. & Huppert, H.E. 2019. ‘Interaction of viscous free-surface flows with topography’, Journal of Fluid Mechanics, 876 (912-938). accepted_pdf
18. Hinton, E.M. & Woods, A.W. 2019. ‘The effect of vertically varying permeability on tracer dispersion’, Journal of Fluid Mechanics, 860 (384-407). accepted_pdf
19. Hinton, E.M. & Woods, A.W. 2018. ‘Buoyancy-driven flow in a confined aquifer with a vertical gradient of permeability’, Journal of Fluid Mechanics, 848 (411-429). accepted_pdf

My PhD can be found (open access) here

Email: edward.hinton@unimelb.edu.au

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