Simon Cox BSc (Warwick) PhD (East Anglia)

Head of The Department of Mathematics (Professor)

Contact Details

Room Number..........:  4.04
Building....................:  Physical Sciences
Phone.......................:   +44 (0)1970 622764
E-Mail........................:   sxc
Home Page...............:   Personal

Biography

Simon graduated with a degree in Applied Mathematics from the University of Warwick in 1994. His PhD research at the University of East Anglia explored the effects of the large pressures generated by breaking waves, for example when they impact against coastal structures. Simon then moved to Trinity College Dublin where he investigated the Physics of Foams with Denis Weaire, firstly as a postdoctoral fellow with a Marie Curie award, and then as a temporary lecturer.

Research Groups

Research Interests

  • Foam Rheology: Solution of problems relating to the flow of foams. Numerical implementation of meso-scopic bubble-scale models using the Surface Evolver, quantifying the role of viscosity in the flow of complex fluids such as foams.
  • Foam Drainage: Use of analytical techniques, such as similarity solutions, and numerics to solve partial differential equations describing the viscous flow of liquid through a network of thin collapsible channels. Simple experiments on aqueous foams and soap films.
  • Simulation of Cellular Structures: Analysis of instabilities in small clusters of cells. Simulation of area-minimizing structures using the Surface Evolver. Analysis and visualisation of three-dimensional disordered structures.
  • Biological Morphology: Investigation of the morphology of echinoids (sea urchins) using an analogy with bubble formation. Application of the results of packing problems to infer details of the growth of biological systems such as flowers.
  • Pressure Impulse Theory: Analysis of pressures induced by breaking waves on coastal structures. Potential theory.

Teaching Areas

Modules Taught

  • FG12910: Cynllunio Gyrfa a Datblygu Sgiliau Ffiseg
  • MA10110: Coordinate and Vector Geometry
  • MA25610: Hydrodynamics 1
  • MA34610: Hydrodynamics ii
  • MA34810: Mathematical Models of Biological Systems
  • MP12910: Career Planning and Skills Development
  • MT12910: Cynllunio Gyrfa a Datblygu Sgiliau
  • MT25610: Hydrodynameg 1
  • PH12910: Physics Career Planning and Skills Development

Publications

2017

Cox, S., Graner, F., Mosseri, R., Sadoc, J. 2017. Quasicrystalline three-dimensional foams. Journal of Physics: Condensed Matter 29 (11)

2016

Cox, S., Davies, I.T. 2016. Simulations of quasi-static foam flow through a diverging-converging channel. Korea-Australia Rheology Journal 28 (3) pp. 181-186.

2015

Nonnekes, L.E., Cox, S.J., Rossen, W.R. 2015. Effect of Gas Diffusion on Mobility of Foam for Enhanced Oil Recovery. Transport in Porous Media 106 (3) pp. 669-689.

Davies, T., Garratt, L., Cox, S. 2015. Rhaniad arwynebedd lleiaf silindr yn dair rhan. Gwerddon (20) pp. 30-43.

Cox, S.J. 2015. Simulations of bubble division in the flow of a foam past an obstacle in a narrow channel. Colloids and Surfaces A: Physicochemical and Engineering Aspects 473 10th Eufoam Conference, Thessaloniki, Greece,7-10 July, 2014, Greece, 07/07/2014 - 10/07/2014. pp. 104-108.

Whittaker, R.J., Cox, S. 2015. Stability of a helicoidal surface inside a cylinder with pinned diameters. Quarterly Journal of Mechanics and Applied Mathematics 68 (1) pp. 23-52.

Teixeira, M.A.C., Arscott, S., Cox, S.J., Teixeira, P.I.C. 2015. What is the shape of an air bubble on a liquid surface? Langmuir 31 (51) pp. 13708-13717.

2014

Grassia, P., Mas-Hernández, E., Shokri, N., Cox, S.J., Mishuris, G., Rossen, W.R. 2014. Analysis of a model for foam improved oil recovery. Journal of Fluid Mechanics 751 pp. 346-405.

Cox, S.J., Jones, S.A. 2014. Instability of stretched and twisted soap films in a cylinder. Journal of Engineering Mathematics 86 (1) pp. 1-7.

Durand, M., Kraynik, A.M., Van Swol, F., Käfer, J., Quilliet, C., Cox, S., Ataei Talebi, S., Graner, F. 2014. Statistical mechanics of two-dimensional shuffled foams: Geometry-topology correlation in small or large disorder limits. Physical Review E 89 (6) 062309

2013

Cox, S.J., Morgan, F., Graner, F. 2013. Are large perimeter-minimizing two-dimensional clusters of equal-area bubbles hexagonal or circular? Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469 (2149) 20120392

Ishihara, S., Sugimura, K., Cox, S.J., Bonnet, I., Bellaiche, Y., Graner, F. 2013. Comparative study of non-invasive force and stress inference methods in tissue. European Physical Journal E 36 (4) ARTN 45

Raufaste, C., Cox, S. 2013. Deformation of a free interface pierced by a tilted cylinder: Variation of the contact angle. Colloids and Surfaces A: Physicochemical and Engineering Aspects 438 pp. 126-131.

Satomi, R., Grassia, P., Cox, S., Mishuris, G., Lue, L. 2013. Diffusion of curvature on a sheared semi-infinite film. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469 (2159)

Cantat, I., Cohen-Addad, S., Elias, F., Graner, F., Höhler, R., Pitois, O., Rouyer, F., Saint-Jalmes, A.Cox, S.J. 2013. Foams: Structure and Dynamics. Translated by R. Flatman. Oxford University Press Other

Cox, S.J. 2013. Methods for modelling food cellular structures and the relationship between microstructure and mechanical and rheological properties. In V. Morris., K. Groves. (eds) Food microstructures: Microscopy, measurement and modelling. Woodhead Publishing Series in Food Science, Technology and Nutrition Elsevier pp. 310-323. Other

Hazel, A., Pailha, M., Cox, S., Juel, A. 2013. Multiple states of finger propagation in partially occluded tubes. Physics of Fluids 25 (6) 062106

Davies, I.T., Cox, S.J., Lambert, J. 2013. Reconstruction of tomographic images of dry aqueous foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects 438 pp. 33-40.

Jones, S., Dollet, B., Méheust, Y., Cox, S., Cantat, I. 2013. Structure-dependent mobility of a dry aqueous foam flowing along two parallel channels. Physics of Fluids 25 (6) 063101

Ferguson, D.J., Cox, S.J. 2013. The motion of a foam lamella traversing an idealised bi-conical pore with a rounded central region. Colloids and Surfaces A: Physicochemical and Engineering Aspects 438 pp. 56-62.

Lipşa, D.R., Laramee, R.S., Cox, S., Davies, I.T. 2013. Visualizing 3D time-dependent foam simulation data. In G. Bebis., R. Boyle., B. Parvin. (eds) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8033 LNCS, no. PART 1 9th International Symposium on Advances in Visual Computing, ISVC 2013, Rethymnon, Crete, United Kingdom of Great Britain and Northern Ireland, 29/07/2013 - 31/07/2013. PART 1th edn, Springer Nature pp. 255-265.

Cox, S.J., Lipşa, D.R., Davies, I.T., Laramee, R.S. 2013. Visualizing the dynamics of two-dimensional foams with FoamVis. Colloids and Surfaces A: Physicochemical and Engineering Aspects 438 pp. 28-32.

2012

Cox, S., Celestini, F., Raufaste, C., Kirstetter, G. 2012. Deformation of a free interface pierced by a tilted cylinder. EPL 99 Cadair

Nonnekes, L.E., Cox, S.J., Rossen, W.R. 2012. Effect of gas diffusion on mobility of foam for EOR. Proceedings - SPE Annual Technical Conference and Exhibition. SPE Annual Technical Conference and Exhibition 2012: Unconventional Wisdom, ATCE 2012, San Antonio, TX, United States of America, 08/10/2012 - 10/10/2012. Society of Petroleum Engineers pp. 3499-3509.

Jones, S.A., Cox, S.J. 2012. On the effectiveness of a quasistatic bubble-scale simulation in predicting the constriction flow of a two-dimensional foam. Journal of Rheology 56 (3) pp. 457-471. Cadair

Davies, I.T., Cox, S. 2012. Sphere motion in ordered three-dimensional foams. Journal of Rheology 56 (3) pp. 473-483. Cadair

Durand, M., Kafer, J., Quilliet, C., Cox, S.J., Ataei Talebi, S., Graner, F. 2012. Statistical Mechanics of Two-Dimensional Shuffled Foams: Prediction of the Correlation between Geometry and Topology. Physical Review Letters 107 (16) pp. 168304-168309. Cadair

Lipsa, D.R., Laramee, R.S., Cox, S.J., Roberts, J.C., Walker, R., Borkin, M.A., Pfister, H. 2012. Visualization for the Physical Sciences. Computer Graphics Forum 31 (8) pp. 2317-2347.

2011

Cox, S., Ran, L., Garrett, P., Jones, S., Embley, B., Tong, M., Grassia, P. 2011. Characterisation, modification and mathematical modelling of sudsing. Colloids and Surfaces A: Physicochemical and Engineering Aspects 382 (1-3) pp. 50-57. Cadair

Vaz, M.F., Cox, S.J., Teixeira, P.I.C. 2011. Cyclic deformation of bidisperse two-dimensional foams. Philosophical Magazine 91 (34) pp. 4345-4356. Cadair

Boulogne, F., Cox, S.J. 2011. Elastoplastic flow of a foam around an obstacle. Physical Review E 83 (4) 041404 Cadair

Lipsa, D.R., Laramee, R.S., Cox, S.J., Davies, I.T. 2011. FoamVis: Visualization of 2D Foam Simulation Data. IEEE Transactions on Visualization and Computer Graphics 17 (12) pp. 2096-2105.

Jones, S.A., Cox, S. 2011. The transition from three-dimensional to two-dimensional foam structures. European Physical Journal E Cadair

Jones, S., Dollet, B., Slosse, N., Jiang, Y., Cox, S., Graner, F. 2011. Two-dimensional constriction flows of foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects 382 (1-3) pp. 18-23. Cadair

2010

Raufaste, C., Marmottant, P., Cox, S., Graner, F. 2010. Discrete rearranging disordered patterns: Prediction of elastic and plastic behaviour, and application to two-dimensional foams. Physical Review E 81 (3) Cadair

Davies, I.T., Cox, S.J. 2010. Sedimentation of an elliptical object in a two-dimensional foam. Journal of Non-Newtonian Fluid Mechanics 165 (13-14) pp. 793-799. Cadair

Cox, S., Vaz, F., Teixeira, P.I.C. 2010. Simulation of defects in bubble clusters. Journal of Physics: Condensed Matter 22 pp. 0-65101. Cadair

Cox, S.J., Flikkema, E. 2010. The minimal perimeter for N confined deformable bubbles of equal area. Electronic Journal of Combinatorics 17 R45 Cadair Other Other

2009

Cox, S. 2009. Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere. Cadair

Vaz, M.F., Graner, F., Teixeira, P.I.T., Cox, S. 2009. Effect of the number of shells on the pressure and energy of two-dimensional free bubble clusters. Colloids and Surfaces A: Physicochemical and Engineering Aspects 344 (1-3) pp. 33-36. Cadair

Davies, I.T., Cox, S.J. 2009. Sedimenting discs in a two-dimensional foam. Colloids and Surfaces A: Physicochemical and Engineering Aspects 344 (1-3) pp. 8-14.

Cox, S.J., Mishuris, G., Weaire, D. 2009. The Viscous Froth Model: steady states and the high-velocity limit. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465 (2108) pp. 2391-2405. Cadair

2008

Greaves, G.N., Wilding, M.C., Fearn, S., Langstaff, D., Kargl, F., Cox, S., Van, Q.V., Majérus, O., Benmore, C.J., Weber, R., Martin, C.M., Hennet, L. 2008. Detection of first-order liquid/liquid phase transitions in yttrium oxide-aluminium oxide melts. Science 322 (5901) pp. 566-570.

Cox, S.J., Wyn, A. 2008. Localization of Topological Changes in Couette and Poiseuille Flows of Two‐Dimensional Foams. pp. 836-838. Other

Janiaud, E., Cox, S.J. 2008. On the structure of quasi-two-dimensional foams. Philosophical Magazine Letters 88 (9-10) pp. 693-701. Cadair

Cox, S.J., Mishuris, G. 2008. Remarks on the accuracy of algorithms for motion by mean curvature in bounded domains. Journal of Mechanics of Materials and Structures 4 (9) pp. 1555–1572. Cadair Other

Wilson, H.J., Cox, S., Neethling, S. 2008. Report on the British Society of Rheology mid-winter meeting on The Rheology of Foams and Emulsions, Royal School of Mines, Imperial College, London 10th - 11th December 2007. pp. 93-95. Cadair Other

Cox, S., Graner, F., Vaz, M.F. 2008. Screening in dry two-dimensional foams. Soft Matter 4 (9) b802792g pp. 1871-1878. Cadair

Wyn, A., Davies, I.T., Cox, S.J. 2008. Simulations of two-dimensional foam rheology: Localization in linear Couette flow and the interaction of settling discs. European Physical Journal E 26 (1) pp. 81-89.

Hutzler, S., Saadatfar, M., van der Net, A., Weaire, D., Cox, S. 2008. The dynamics of a topological change in a system of soap films. Colloids and Surfaces A: Physicochemical and Engineering Aspects 323 (1-3) pp. 123-131. Cadair

Cox, S., Kafer, J., Rabaud, D., Quilliet, C., Graner, F., Ataei Talebi, S. 2008. Topological and geometrical disorder correlate robustly in two-dimensional foams. Philosophical Magazine Letters 88 (9-10) pp. 651-660. Cadair

2007

Cox, S., Hutzler, S., Weaire, D., Janiaud, E. 2007. Drainage induced convection rolls in foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects 309 (1-3) pp. 33-37. Cadair

Fortes, M.A., Vaz, M.F., Cox, S., Teixeira, P. 2007. Instabilities in two-dimensional flower and chain clusters of bubbles. Colloids and Surfaces A: Physicochemical and Engineering Aspects 309 (1-3) pp. 64-70. Cadair

Hutzler, S., van der Net, A., Weaire, D., Cox, S., Janiaud, E. 2007. Pre-empting Plateau: the nature of topological transitions in foam. EPL 77 (2) Cadair

Cox, S. 2007. Simulations of Two-Dimensional Foam under Couette Shear. Cadair

Cox, S., Weaire, D., Hutzler, S., Peron, N. 2007. Steady drainage in emulsions: corrections for surface Plateau borders and a model for high aqueous volume fraction. European Physical Journal E 22 (4) pp. 341-351. Cadair

Raufaste, C., Dollet, B., Cox, S., Jiang, Y., Graner, F. 2007. Yield drag in a two-dimensional foam flow around a circular obstacle: Effect of liquid fraction. European Physical Journal E 23 (2) pp. 217-228. Cadair

2006

Cox, S. 2006. Calculations of the minimal perimeter for N deformable cells of equal area confined in a circle. Philosophical Magazine Letters 86 (9) pp. 569-578. Cadair

Cox, S., Whittick, E. 2006. Shear modulus of two-dimensional foams: The effect of area dispersity and disorder. European Physical Journal E 21 (49-56) pp. 49-56. Cadair Other

Cox, S. 2006. The mixing of bubbles in two-dimensional bidisperse foams under extensional shear. Journal of Non-Newtonian Fluid Mechanics 137 (1-3) pp. 39-45. Cadair

2005

Cox, S. 2005. A viscous froth model for dry foams in the Surface Evolver. pp. 81-89. Cadair

2004

Cox, S., Graner, F. 2004. Three-dimensional bubble clusters: Shape, packing, and growth rate. Physical Review E 69 (3)

2003

Weaire, D., Cox, S., Vaz, M.F. 2003. Topological changes in a two-dimensional foam cluster. European Physical Journal E 11 (1) pp. 29-35. Cadair Other

2002

Weaire, D., Cox, S., Fátima Vaz, M. 2002. The transition from two-dimensional to three-dimensional foam structures. European Physical Journal E 7 (4) pp. 311-315. Other Cadair Other

2001

Weaire, D., Verbist, G., Cox, S.J., Hutzler, S. 2001. Frontiers of the physics of foams. In B. Schürmann., O. Minster. (eds) Proceedings of the First International Symposium. ESA SPECIAL PUBLICATIONS, vol. 454 1st International Symposium on Microgravity Research and Applications in Physical Sciences and Biotechnology, Sorrento, Italy, 10/09/2000 - 15/09/2000. European Space Agency, Paris pp. 103-108.

Cox, S., Weaire, D., Bradley, G. 2001. Metallic foam processing from the liquid state. European Physical Journal Applied Physics 14 (2) pp. 87-97. Cadair