# Associate Professor Yvonne Stokes

I completed a BSc (Mathematics and Computer Science) at Murdoch University and Honours in Applied Mathematics at The University of Adelaide, while working as a technical draftsperson. I then did a PhD at The University of Adelaide, with a thesis on very viscous fluid flows. I held an ARC Postdoctoral Fellowship (2000-2002) and then obtained a Lecturer position at The University of Adelaide where I am now an ARC Future Fellow and an Associate Professor in the School of Mathematical Sciences. I am also the current Chair of the Women in Mathematics Special Interest Group of the Australian Mathematical Society.

I enjoy using mathematics to solve real-world problems in fluid mechanics, industry and in biology, and believe it is important to impart the skills needed for this to the next generations. I seek to encourage female students to consider STEM careers and to promote the value of mathematics in the wider community.

I undertake research in the field of theoretical fluid mechanics, in particular viscous flows involving free and moving boundaries. Current projects include the modelling of optical fibre fabrication, and thin-film flow in curved channels and ducts. In addition I have research interests in mathematical biology, modelling nutrient transport and chemical signalling in tissue.

## Appointments

Date | Position | Institution name |
---|---|---|

2017 | ARC Future Fellow | The University of Adelaide |

2014 | Associate Professor | The University of Adelaide |

2005 - 2014 | Senior Lecturer | The University of Adelaide |

2002 - 2005 | Lecturer | The University of Adelaide |

2000 - 2002 | ARC Postdoctoral Fellow | The University of Adelaide |

## Language Competencies

Language | Competency |
---|---|

English | Can read, write, speak, understand spoken and peer review |

## Education

Date | Institution name | Country | Title |
---|---|---|---|

1999 | The University of Adelaide | Australia | PhD |

1994 | The University of Adelaide | Australia | BSc Hons |

1991 | Murdoch University | Australia | BSc |

## Research Interests

## Journals

Year | Citation |
---|---|

2017 | Tronnolone, H., Stokes, Y. & Ebendorff-Heidepriem, H. (2017). Extrusion of fluid cylinders of arbitrary shape with surface tension and gravity. Journal of Fluid Mechanics, 810, 127-154. 10.1017/jfm.2016.729 |

2017 | Arnold, D., Stokes, Y. & Green, J. (2017). Thin-film flow in helically wound shallow channels of arbitrary cross-sectional shape. Physics of Fluids, 29, 1, 013102-1-013102-11. 10.1063/1.4973670 |

2016 | Chen, M., Stokes, Y., Buchak, P., Crowdy, D., Foo, H., Dowler, A. & Ebendorff-Heidepriem, H. (2016). Drawing tubular fibres: experiments versus mathematical modelling. Optical Materials Express, 6, 1, 166-180. 10.1364/OME.6.000166 |

2016 | Wylie, J., Bradshaw-Hajek, B. & Stokes, Y. (2016). The evolution of a viscous thread pulled with a prescribed speed. Journal of Fluid Mechanics, 795, 380-408. 10.1017/jfm.2016.215 |

2016 | Tronnolone, H., Stokes, Y., Foo, H. & Ebendorff-Heidepriem, H. (2016). Gravitational extension of a fluid cylinder with internal structure. Journal of Fluid Mechanics, 790, 308-338. 10.1017/jfm.2016.11 |

2016 | Chen, M., Stokes, Y., Buchak, P., Crowdy, D. & Bendorff-Heidepriem, H. (2016). Asymptotic modelling of a six-hole MOF. Journal of Lightwave Technology, 34, 24, 5651-5656. 10.1109/JLT.2016.2628438 |

2015 | Stokes, Y., Miller, A. & Hocking, G. (2015). Pressure drop in pipelines due to pump trip event. ANZIAM Journal : Electronic Supplement, 57, M163-M204. 10.21914/anziamj.v57i0.10277 |

2015 | Buchak, P., Crowdy, D., Stokes, Y. & Ebendorff-Heidepriem, H. (2015). Elliptical pore regularisation of the inverse problem for microstructured optical fibre fabrication. Journal of Fluid Mechanics, 778, 5-38. 10.1017/jfm.2015.337 |

2015 | Arnold, D., Stokes, Y. & Green, J. (2015). Thin-film flow in helically-wound rectangular channels of arbitrary torsion and curvature. Journal of Fluid Mechanics, 764, 76-94. 10.1017/jfm.2014.703 |

2015 | Chen, M., Stokes, Y., Buchak, P., Crowdy, D. & Ebendorff-Heidepriem, H. (2015). Microstructured optical fibre drawing with active channel pressurisation. Journal of Fluid Mechanics, 783, 137-165. 10.1017/jfm.2015.570 |

2014 | Zeng, H., Richani, D., Sutton-McDowall, M., Ren, Z., Smitz, J., Stokes, Y. ... Thompson, J. (2014). Prematuration with cyclic adenosine monophosphate modulators alters cumulus cell and oocyte metabolism and enhances developmental competence of in vitro-matured mouse oocytes. Biology of Reproduction, 91, 2, 1-11. 10.1095/biolreprod.114.118471 |

2014 | Stokes, Y., Buchak, P., Crowdy, D. & Ebendorff-Heidepriem, H. (2014). Drawing of micro-structured fibres: circular and non-circular tubes. Journal of Fluid Mechanics, 755, 176-203. 10.1017/jfm.2014.408 |

2014 | Lee, S., Stokes, Y. & Bertozzi, A. (2014). Behavior of a particle-laden flow in a spiral channel. Physics of Fluids, 26, 4, 043302-1-043302-17. 10.1063/1.4872035 |

2013 | Stokes, Y., Duffy, B., Wilson, S. & Tronnolone, H. (2013). Thin-film flow in helically wound rectangular channels with small torsion. Physics of Fluids, 25, 8, 1-23. 10.1063/1.4818628 |

2012 | Tuck, E. & Stokes, Y. (2012). On thin or slender bodies. The ANZIAM Journal, 53, 3, 190-212. 10.1017/S1446181112000120 |

2012 | Matthews, M. & Stokes, Y. (2012). Lubrication analysis and numerical simulation of the viscous micropump with slip. International Journal of Heat and Fluid Flow, 33, 1, 22-34. 10.1016/j.ijheatfluidflow.2011.09.009 |

2011 | Clark, A. & Stokes, Y. (2011). Follicle structure influences the availability of oxygen to the oocyte in antral follicles. Computational and Mathematical Methods in Medicine, 2011, 287186, 1-9. 10.1155/2011/287186 |

2011 | Stokes, Y. & Carey, G. (2011). On generalised penalty approaches for slip, free surface and related boundary conditions in viscous flow simulation. International Journal of Numerical Methods for Heat & Fluid Flow, 21, 6, 668-702. 10.1108/09615531111148455 |

2011 | Stokes, Y., Bradshaw-Hajek, B. & Tuck, E. (2011). Extensional flow at low Reynolds number with surface tension. Journal of Engineering Mathematics, 70, 1-3, 321-331. 10.1007/s10665-010-9443-3 |

2011 | Clark, A., Stokes, Y. & Thompson, J. (2011). Estimation of glucose uptake by ovarian follicular cells. Annals of Biomedical Engineering, 39, 10, 2654-2667. 10.1007/s10439-011-0353-y |

2009 | Stokes, Y. (2009). Quantifying oxygen diffusion in paraffin oil used in oocyte and embryo culture. Molecular Reproduction and Development, 76, 12, 1178-1187. 10.1002/mrd.21089 |

2008 | Stokes, Y., Clark, A. & Thompson, J. (2008). Mathematical modeling of glucose supply toward successful in vitro maturation of mammalian oocytes. Tissue Engineering. Part A. Tissue Engineering, 14, 9 Sp. Iss., 1539-1547. 10.1089/ten.tea.2008.0036 |

2007 | Hajek, B., Stokes, Y. & Tuck, E. (2007). Computation of extensional fall of slender viscous drops by a one-dimensional eulerian method. Siam Journal on Applied Mathematics, 67, 4, 1166-1182. 10.1137/050646743 |

2006 | Clark, A., Stokes, Y., Lane, M. & Thompson, J. (2006). Mathematical modelling of oxygen concentration in bovine and murine cumulus-oocyte complexes. Reproduction, 131, 6, 999-1006. 10.1530/rep.1.00974 |

2005 | Agnon, Y. & Stokes, Y. (2005). An inverse modelling technique for glass forming by gravity sagging. European Journal of Mechanics B-Fluids, 24, 3, 275-287. 10.1016/j.euromechflu.2004.10.002 |

2004 | Stokes, Y. & Tuck, E. (2004). The role of inertia in extensional fall of a viscous drop. Journal of Fluid Mechanics, 498, 498, 205-225. 10.1017/S0022112003006682 |

2003 | Stokes, Y. (2003). Determining rotational deformity in broken forearms. The ANZIAM Journal, 44, 4, 561-568. 10.1017/S144618110001292X |

2000 | Stokes, Y. (2000). Flowing windowpanes: a comparison of Newtonian and Maxwell fluid models. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 456, 2000, 1861-1864. 10.1098/rspa.2000.0590 |

2000 | Stokes, Y. (2000). Numerical design tools for thermal replication of optical-quality surfaces. Computers & Fluids, 29, 4, 401-414. 10.1016/S0045-7930(99)00030-4 |

2000 | Stokes, Y., Tuck, E. & Schwartz, L. (2000). Extensional fall of a very viscous fluid drop. The Quarterly Journal of Mechanics and Applied Mathematics, 53, 4, 565-582. 10.1093/qjmam/53.4.565 |

1999 | Stokes, Y. (1999). Flowing Windowpanes: Fact or Fiction?. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 455, 1987, 2751-2756. 10.1098/rspa.1999.0425 |

1999 | Stokes, Y. (1999). Very Viscous Flows Driven by Gravity with Particular Application to Slumping of Molten Glass. Bulletin of the Australian Mathematical Society, 59, 523-524. |

1997 | Tuck, E., Stokes, Y. & Schwartz, L. (1997). Slow Slumping of a Very Viscous Liquid Bridge. Journal of Engineering Mathematics, 32, 1, 27-40. |

## Conference Papers

Year | Citation |
---|---|

2013 | Mohiuddin, Z., Stokes, Y. & Haghighi, M. (2013). Pore level simulation of miscible injection with gravity domination. International Conference on Greenhouse Gas Control Technologies (GHGT). Kyoto, Japan. 10.1016/j.egypro.2013.06.621 |

2012 | Mohiuddin, Z., Haghighi, M., Stokes, Y., Carageorgos, T. & Gibbins, D. (2012). Pore scale visualization and simulation of miscible displacement process under gravity domination. International Petroleum Technology Conference. Bangkok. 10.2523/15310-MS |

2012 | Lee, S., Stokes, Y. & Bertozzi, A. (2012). A model for particle laden flow in a spiral concentrator. International Congress of Theoretical and Applied Mechanics. Beijing. |

2012 | Stokes, Y., Crowdy, D., Tronnolone, H., Ebendorff-Heidepriem, H. & Monro, T. (2012). Towards understanding of geometrical structure in microstructured optical fibres. International Congress of Theoretical and Applied Mechanics. Beijing. |

2010 | Stokes, Y. (2010). Bending in extrusion of optical fibre preforms. Biennial Engineering Mathematics and Applications Conference (EMAC2009). Adelaide, South Australia. |

2008 | Stokes, Y. & Carey, G. (2008). On penalty approaches for navier-slip and other boundary conditions in vicous flow. International Congress of Theoretical and Applied Mechanics. Adelaide. |

2005 | Hocking, G., Stokes, Y. & Sweatman, W. (2005). Implementing lanier's patents for stable, safe and economical ultra-short wing vacu- and para-planes. The Mathematics-in-Industry Study Group. G. Wake & L. L. Lim (Eds.) Massey University, Auckland, New Zealand. |

2005 | Thompson, J., Clark, A., Froiland, D., Stokes, Y. & Lane, M. (2005). A "nutrient sparing" hypothesis to explain the nutrition of the immature bovine cumulus-oocyte complex.. 38th Annual Meeting of the Society-for-the-Study-of-Reproduction. Ctr Rech Biol Reproduct, Quebec City, CANADA. |

2004 | Stokes, Y., Wilson, S. & Duffy, B. (2004). Thin-film flow in open helically-wound channels. Australasian Fluid Mechanics Conference. M. Behnia, W. Lin & G. D. McBain (Eds.) Sydney, Australia. |

2002 | Stokes, Y. & Pendleton, P. (2002). Drying and curing of stains and lacquers used in furniture finishing. Mathematics-In-Industry Study Group. J. Hewitt & K. White (Eds.) Adelaide, Australia. |

2001 | Stokes, Y. (2001). Flow in spiral channels of small curvature and torsion. The IUTAM Symposium on Free Surface Flows. A. C. King & Y. D. Shikhmurzaev (Eds.) Birmingham, UK. 10.1007/978-94-010-0796-2_35 |

- ARC Future Fellowship, 2016-2020, Mathematics the key to modern glass and polymer fibre technology.
- ARC Linkage Project 2016-2018, Enhanced sensitivity of electrospray ionisation mass spectrometry. With H. Ebendorff-Heidepriem, P. Hoffmann and A. Gooley. Industry Partner, Trajan Scientific and Medical.
- ARC Discovery Project 2016-2018, Suspension flows and particle focusing in curved geometries. With A.L. Bertozzi.
- University of Adelaide ECMS Research Support Scheme 2015, Quantification and modelling of spatial structures in colorectal (bowel) cancer. With J.E.F Green, B. Binder, H. Zhang, D. Worthley.
- ARC Discovery Project 2013-2015, Shining the light on geometry of microstructured optical fibres. With D.G. Crowdy and H. Ebendorff-Heidepriem.
- ARC Linkage Project 2011-2013, Paving the way: an experimental approach to the mathematical modelling and design of permeable pavements With S.C. Beecham, L.R. White, J.W. Boland, P.G. Howlett and J.M. Wells.
- University of Adelaide ECMS Category 1 Grant Improvement Scheme Funding 2008, Viscous flow for manufacture of optical fibres.
- ARC Discovery Project 2004-2006, Viscous extensional flow and drop breakoff. With E.O. Tuck.
- University of Adelaide ECMS Small Grant 2003, 3D geomechanical modelling of salt diapirism. With S. Hunt.
- University of Adelaide Small Grant 2002, Computational modelling of destratification of shallow lakes.
- ARC Small Grant 2000, High order B-splines for numerical differentiation of noisy data.
- ARC Postdoctoral Fellowship 2000-2002, Fluid flow in open helical channels with application to spiral particle separators.

- James Reoch, current, Mathematical modelling of the complex mechanics of biological gels.
- David Arnold, PhD conferred 2017, Thin-film flow in helical channels.
- David Wilke, PhD conferred 2017, Pressure and flow within the umbilical vessels.
- Hayden Tronnolone, PhD conferred 2016, Extensional and surface-tension-driven fluid flows in microstructured optical fibre fabrication.
- Zeeshan Mohiuddin, PhD conferred 2014, Pore scale visualization and simulation of miscible displacement.
- Alys Clark, PhD conferred 2009, Mathematical modelling and experimental investigation of the nutrient supply to the mammalian oocyte.

## Memberships

Date | Role | Membership | Country |
---|---|---|---|

2010 - ongoing | Society of Mathematical Biology | United States | |

2002 - ongoing | American Physical Society | United States | |

1994 - ongoing | Australian Mathematical Society | Australia | |

1994 - ongoing | Australian and New Zealand Division of Industrial and Applied Mathematics | Australia |

## Committee Memberships

Date | Role | Committee | Institution | Country |
---|---|---|---|---|

2017 - ongoing | Chair | Women in Mathematics Special Interest Group | The Australian Mathematical Society | Australia |