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
  • MP12910: Career Planning and Skills Development
  • MT12910: Cynllunio Gyrfa a Datblygu Sgiliau
  • PH12910: Physics Career Planning and Skills Development

Publications

2017

Mughal, A., Cox, S., Schröder-Turk, G.E. 2017. Curvature driven motion of a bubble in a toroidal Hele-Shaw cell. Interface Focus Cadair

Veldhuis, J.H., Ehsandar, A., Maître, J.L., Hiiragi, T., Cox, S., Brodland, G.W. 2017. Inferring cellular forces from image stacks. Philosophical Transactions of the Royal Society B: Biological Sciences 372 (1720) 20160261 Cadair

Vitasari, D., Cox, S. 2017. A viscous froth model adapted to wet foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects Other Cadair

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

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. Cadair

2015

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

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. pp. 104-108. Cadair

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. Cadair

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. Cadair

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. Cadair

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. Other Cadair

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 Other Cadair

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. Cadair

2013

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. Cadair

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. Cadair

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 Cadair

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

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 Other Cadair

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. Cadair

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. Other Cadair

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. PART 1th edn, Springer Nature pp. 255-265. Other Cadair

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. Cadair

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) Other Cadair

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

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 Cadair

2012

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. Society of Petroleum Engineers pp. 3499-3509. Other 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. Cadair

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

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.

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

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.

2011

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. 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.

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

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.

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.

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

2010

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

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.

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

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)

2009

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.

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.

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. Cadair

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

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. Cadair

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

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.

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. Cadair

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.

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.

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

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.

Cox, S.J., Wyn, A. 2008. Localization of Topological Changes in Couette and Poiseuille Flows of Two‐Dimensional Foams. Cadair

2007

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.

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.

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

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.

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.

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)

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.

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.

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.

2005

Cox, S. 2005. A viscous froth model for dry foams in the Surface Evolver.

2004

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

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.

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.

2001

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

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. European Space Agency, Paris pp. 103-108. Cadair