Professor Peter Stewart

Professor of Applied Mathematics (Mathematics)

telephone: 01413304124
email: Peter.Stewart@glasgow.ac.uk

Room 415, Mathematics and Statistics Building, University Place, Glasgow, G12 8SQ

ORCID iD https://orcid.org/0000-0002-0971-8057

Research interests

My research interests lie in the application of continuum mechanics to physiological and industrial problems. In particular I am interested in problems involving interaction between a fluid flow and deformable interfaces, such as liquid-gas free surfaces and elastic solids.

My current research focuses on modelling flow of CSF and blood in the human eye and along the optic nerve. Recently completed projects include an investigation into the onset of large amplitude pulsations in the retinal vein at the optic disc (the retinal venous pulse) where we demonstrated how observation of this pulse might be used to estimate intracranial pressure non-invasively.

I am also keenly interested in the dynamics and fracture of gas-liquid foams, with application to the production of high-porosity metallic solids (solid metal foams) as lightweight materials.

Research units

Publications

Selected publications

Stewart, P.S. , Heil, M., Waters, S.L. and Jernson, O.E. (2010) Sloshing and slamming oscillations in a collapsible channel flow. Journal of Fluid Mechanics, 662, pp. 288-319. (doi: 10.1017/S0022112010003277)

All publications

List by: Type | Date

Jump to: 2022 | 2021 | 2020 | 2019 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2010 | 2009

Number of items: 31.

2022

Stewart, P. S. and Hilgenfeldt, S. (2022) Gas-liquid foam dynamics: from structural elements to continuum descriptions. Annual Reviews of Fluid Mechanics, (Accepted for Publication)

Griffiths, I. M. and Stewart, P. S. (2022) A hybrid discrete–continuum framework for modelling filtration. Journal of Membrane Science, 647, 120258. (doi: 10.1016/j.memsci.2022.120258)

Herrada, M.A., Blanco-Trejo, S., Eggers, J. and Stewart, P.S. (2022) Global stability analysis of flexible channel flow with a hyperelastic wall. Journal of Fluid Mechanics, 934, A28. (doi: 10.1017/jfm.2021.1131)

Wang, Z., Wang, C., Zhao, F., Qi, N., Lockington, D., Ramaesh, K., Stewart, P. S. , Luo, X. and Tang, H. (2022) Simulation of fluid-structure interaction during the phaco-emulsification stage of cataract surgery. International Journal of Mechanical Sciences, 214, 106931. (doi: 10.1016/j.ijmecsci.2021.106931)

2021

Wang, D.Y., Luo, X.Y. and Stewart, P.S. (2021) Energetics of collapsible channel flow with a nonlinear fluid-beam model. Journal of Fluid Mechanics, 926, A2. (doi: 10.1017/jfm.2021.642)

Wang, D., Luo, X. and Stewart, P. S. (2021) Multiple steady and oscillatory solutions in a collapsible channel flow. International Journal of Applied Mechanics, 13(6), 2150058. (doi: 10.1142/S1758825121500587)

2020

Griffiths, I.M., Mitevski, I., Vujkovac, I., Illingworth, M.R. and Stewart, P.S. (2020) The role of tortuosity in filtration efficiency: a general network model for filtration. Journal of Membrane Science, 598, 117664. (doi: 10.1016/j.memsci.2019.117664)

Spelman, T.A. and Stewart, P.S. (2020) Shock wave propagation along the central retinal blood vessels. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476(2234), 20190269. (doi: 10.1098/rspa.2019.0269) (PMID:32201473)

2019

Stewart, P. S. and Foss, A. J.E. (2019) Self-excited oscillations in a collapsible channel with applications to retinal venous pulsation. ANZIAM Journal, 61(3), pp. 320-348. (doi: 10.1017/S1446181119000117)

2017

Stewart, P. S. and Hilgenfeldt, S. (2017) Cracks and fingers: dynamics of ductile fracture in an aqueous foam. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 534, pp. 58-70. (doi: 10.1016/j.colsurfa.2017.03.057)

MacTaggart, D. and Stewart, P. (2017) Optimal energy growth in current sheets. Solar Physics, 292(10), 148. (doi: 10.1007/s11207-017-1177-1)

Stewart, P. S. (2017) Instabilities in flexible channel flow with large external pressure. Journal of Fluid Mechanics, 825, pp. 922-960. (doi: 10.1017/jfm.2017.404)

2016

Stewart, P. S. , Waters, S. L., El Sayed, T., Vella, D. and Goriely, A. (2016) Wrinkling, creasing, and folding in fiber-reinforced soft tissues. Extreme Mechanics Letters, 8, pp. 22-29. (doi: 10.1016/j.eml.2015.10.005)

Griffiths, I. M., Kumar, A. and Stewart, P.S. (2016) Designing asymmetric multilayered membrane filters with improved performance. Journal of Membrane Science, 511, pp. 108-118. (doi: 10.1016/j.memsci.2016.02.028)

2015

Stewart, P. S. , Davis, S. H. and Hilgenfeldt, S. (2015) Microstructural effects in aqueous foam fracture. Journal of Fluid Mechanics, 785, pp. 425-461. (doi: 10.1017/jfm.2015.636)

Stewart, P. S. , Feng, J., Kimpton, L. S., Griffiths, I. M. and Stone, H. A. (2015) Stability of a bi-layer free film: simultaneous or individual rupture events? Journal of Fluid Mechanics, 777, pp. 27-49. (doi: 10.1017/jfm.2015.346)

Hermans, T., Bishop, K., Stewart, P. , Davis, S. and Grzybowski, B. (2015) Vortex flows impart chirality-specific lift forces. Nature Communications, 6, p. 5640. (doi: 10.1038/ncomms6640)

Agraval, U., Qi, N., Stewart, P. , Luo, X. , Williams, G., Rotchford, A. and Ramaesh, K. (2015) Optimum size of iridotomy in uveitis. Clinical and Experimental Ophthalmology, 43(7), pp. 692-696. (doi: 10.1111/ceo.12528) (PMID:25881493)

Hermans, T. M., Stewart, P. S. and Grzybowski, B. A. (2015) A pH-oscillator stretched in space but frozen in time. Journal of Physical Chemistry Letters, 6(5), pp. 760-766. (doi: 10.1021/jz502711c)

Stewart, P. S. and Jensen, O. E. (2015) Patterns of recruitment and injury in a heterogeneous airway network model. Journal of the Royal Society: Interface, 12, 20150523. (doi: 10.1098/rsif.2015.0523)

2014

Griffiths, I.M., Kumar, A. and Stewart, P.S. (2014) A combined network model for membrane fouling. Journal of Colloid and Interface Science, 432, pp. 10-18. (doi: 10.1016/j.jcis.2014.06.021) (PMID:25042380)

Stewart, P. S. , Jensen, O. E. and Foss, A. J. E. (2014) A theoretical model to allow prediction of the CSF pressure from observing the retinal venous pulse. Investigative Ophthalmology and Visual Science, 55(10), pp. 6319-6323. (doi: 10.1167/iovs.14-14331)

Lang, G. E., Stewart, P. S. , Vella, D., Waters, S. L. and Goriely, A. (2014) Is the Donnan effect sufficient to explain swelling in brain tissue slices? Journal of the Royal Society: Interface, 11(96), p. 20140123. (doi: 10.1098/rsif.2014.0123) (PMID:24759543)

2013

Davis, M.J., Stewart, P. and Davis, S. (2013) Local effects of gravity on foams. Journal of Fluid Mechanics, 737, pp. 1-18. (doi: 10.1017/jfm.2013.433)

Stewart, P. , Davis, S. and Hilgenfeldt, S. (2013) Viscous Rayleigh–Taylor instability in aqueous foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 436(5), pp. 898-905. (doi: 10.1016/j.colsurfa.2013.08.021)

Stewart, P.S. and Davis, S.H. (2013) Self-similar coalescence of clean foams. Journal of Fluid Mechanics, 722, pp. 645-664. (doi: 10.1017/jfm.2013.145)

2012

Stewart, P. S. and Davis, S. H. (2012) Dynamics and stability of metallic foams: Network modeling. Journal of Rheology, 56(3), p. 543. (doi: 10.1122/1.3695029)

2010

Stewart, P. S. , Waters, S. L., Billingham, J. and Jensen, O. E. (2010) Spatially localised growth within global instabilities of flexible channel flows. In: Schlatter, P. and Henningson, D. S. (eds.) Seventh IUTAM Symposium on Laminar-Turbulent Transition: Proceedings of the Seventh Iutam Symposium on Laminar-turbulent Transition, Stockholm, Sweden, 2009. Series: IUTAM bookseries (18). Springer: Dordrecht, pp. 397-402. ISBN 9789048137220

Stewart, P. S. , Waters, S. L. and Jensen, O. E. (2010) Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer. Physics of Fluids, 22(3), 031902. (doi: 10.1063/1.3337824)