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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’.

- [ACCEPTED] Hinton, E.M., Hewitt, D.R. & Hogg, A.J. 2023. ‘Obstructed free-surface viscoplastic flow on an inclined plane’,
*Journal of Fluid Mechanics.* - 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). - Lister, J.R. & Hinton, E.M. 2022. ‘Using a squeegee on a layer of viscous or viscoplastic fluid’,
*Physical Review Fluids*, 7, (104101). - 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). - 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 - 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). - Hinton, E.M. 2022. (Open Access) ‘Inferring rheology from free-surface observations’,
*Journal of Fluid Mechanics Rapids,*937 (R4)*.* - 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 - 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 - 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 - Hinton, E.M. & Woods, A.W. 2021. (Open Access) ‘Capillary trapping in a vertically heterogeneous porous layer’,
*Journal of Fluid Mechanics,*910 (A44). - Hinton, E.M. , Hogg, A.J. & Huppert, H.E. 2020. ‘Viscous free-surface flows past cylinders’,
*Physical Review Fluids*, 5 (084101). accepted_pdf - 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). - 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). - Hinton, E.M. 2020. ‘Axisymmetric viscous flow between two horizontal plates’,
*Physics of Fluids*, 32 (063104). Featured article. accepted_pdf - 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 - 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 - 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 - 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