Prof. Tim G. Myers
Address
Centre de Recerca Matemàtica,
Barcelona, 08193, Spain
Edifici C, Campus de Bellaterra
Tel: +34 690984162
E-mail: [email protected]
Citizenship: UK
EMPLOYMENT HISTORY
June 2010 - present
Adjunct Professor, Dept. de Matemàtica Aplicada I, Universitat
Politècnica de Catalunya, Barcelona, Spain
Dec. 2009 - present
Senior Researcher/Industrial Mathematics Group Leader,
Centre de Recerca Matemàtica, Barcelona, Spain
Aug. 05 - Jan. 2010
Visiting Professor, Department of Mathematical Sciences, Korea
Advanced Institute of Science and Technology (KAIST)
Apr. 01 - Dec. 2009
Assoc. Professor (from Jan 04)
Senior Lecturer (Apr 01 – Dec 03), Dept. of Mathematics and
Applied Mathematics, University of Cape Town
Sept. 96 - Apr. 01
Visiting Research Fellow, Oxford Centre for Industrial and Applied
Mathematics, University of Oxford
Sept. 96 - Apr. 01
Senior Research Fellow; Academic Project Manager
ICECREMO commercial aircraft icing code, Applied Mathematics and
Computing Group, Cranfield University
Jan. 94 - Aug. 96
Post-Doctoral Research Fellow/Industrial Liaison, Oxford
Centre for Industrial and Applied Mathematics, Oxford University
Apr. 92 - Nov. 93
Post-Doctoral Research Fellow in Mathematical Biology,
A.D.F.A., University College, University of New South Wales
Dec. 90 - Feb. 92
Post-Doctoral Research Fellow in Finite Elasticity, University of
Wollongong, Australia
EDUCATION
Ph.D. Applied Mathematics University of Leeds, 1987-1990
B.Sc. Hons Mathematics, University of Leicester, 1984-1987
RESEARCH
Research interests
Fluid mechanics (Thin film flow, Non-Newtonian fluids, Nanofluid flow); Nanotechnology; Modelling at limit of continuum theory; Phase change; Heat transfer; PDEs (and approximate solution
methods); Industrial Mathematics.
Publications
Over 80 journal & proceedings publications and 20 Industrial Reports.
See Appendix 1: Publication list.
Many publications can be found on
Google Scholar (search on T.G. Myers)
http://scholar.google.com/citations?user=YwCsYPMAAAAJ&hl=en
Or ResearcherID
http://www.researcherid.com/rid/B-2718-2008
Research Funding
Close to e 1 million as PI since 1998. Currently I have funding of e 100K from the European
Union, Marie Curie International Re-integration grant and e 44K from Spanish Ministry of Science. For full details of funding see Appendix 2, Details of research funding.
Research Recognition
Rated Full Professor of Research by the Catalan accreditation system (Agència per a la Qualitat
del Sistema Universitari de Catalunya: Acreditació de Recerca Avançada )
In 2008 I was a recipient of the University of Cape Town Science Faculty Research Award.
Research Visits
1. Vrije Universiteit, Netherlands 2013 (1 month).
2. Department of Mathematical Sciences, Korean Advanced Institute of Science and Technology, South Korea: 2009 (5 months); 2008 (2 months); 2007 (2 months); 2006 (2 months);
2005 (2 months).
3. Institute of Applied Mathematics, U. British Columbia, Canada: 2009 (4 months); 2004 (8
months); 1998 (2 months).
4. Dept. of Mathematics, U. Western Australia, 2000 (3 months).
5. Dept. de Fisı̀ca, U. Buenos Aires, Argentina, 1997 (4 months).
Keynote/Plenary addresses
1. Invited speaker, Fluidos, November 2014, Tandil, Argentina.
2. Invited Plenary Speaker, 102nd European Study Group with Industry, July 2014, University
College Dublin.
3. Jan 2012, Does the football really matter? 9th Mathematics in Industry Study Group.
African Institute for Mathematical Sciences, Cape Town, South Africa.
4. July 2012, Mathematics and Nanotechnology., Maths and Chemistry,
http://iuma.unizar.es/maths_chemistry/ Universidad de Zaragoza.
5. March 2011, Mathematics in Everyday Life: from Footballs to Nanotubes, sessions del
Ateneo del CPS, Zaragoza.
6. April 2011, Does the football really matter? L’Institut d’Estudis Catalans, Barcelona.
7. July 2011, Modelling solidification and melting with a flowing liquid layer. RSME Conference on Transfer and Industrial Mathematics, Univ. de Santiago de Compostela,
http://mathematica.nodo.cesga.es/content/view/294/38
8. Nov. 2006, Application of non-Newtonian models to thin film flow, Fluidos, Universidad
Nacional de Cuyo, Argentina,.
9. July 2006, Non-Newtonian fluids and thin film flow, Korean Advanced Institute for Science
and Technology, Industrial Maths Initiative.
10. March 2006, Theory and applications of non-Newtonian thin film flow, 3rd Indo-Uk Study
Group, INDOUKSGMIP, University of Baroda.
11. Jan 2006, Theory and applications of non-Newtonian thin film flow, 3rd SA Maths in
Industry Study Group.
12. July 2005, Applications and modelling of thin film flow with solidification, Korean Advanced
Institute for Science and Technology, Industrial Maths Initiative.
13. Jan 2004, Industrial applications of thin film flows, 1st SA Maths in Industry Study Group,
Wits University.
LEADERSHIP/ORGANISATION
1. Main organiser of
(a) Nanomath 2012, Barcelona
http://www.crm.cat/Researchers/tmyers/Pages/Workshops/
Workshop-on-Nanomaths.aspx
(b) Nanofluids, Barcelona 2011.
(c) Mathematical modelling of blood flow and the baroreflex sytem, Barcelona 2010.
(d) 78th European Study Group with Industry, Barcelona 2010/7th Grups d’Estudi de
Matemàtica i Tecnologia
http://www.crm.cat/Researchers/tmyers/Pages/Workshops/GEMT-2010.aspx
2. Member of organising committee for
(a) Nanomath 2014, Universidad Complutense de Madrid, Nov. 2014.
(b) European Conference on Maths for Industry, Lund 2012
http://www.maths.lth.se/ecmi/ecmi2012_org/
(c) Maths in Industry Study Groups in South Africa, 2004-2009.
(d) Industrial Problem Solving Workshop, Canada 1997, and a problem selector for the
1997, 02, 05 meetings.
(e) 29th European Study Group with Industry, UK 1996, and the proceedings editor for
that year.
3. Council member, European Consortium for Mathematics in Industry, 2012-present
http://www.ecmi-indmath.org/
4. Head of industrial maths research group, University of Cape Town 2001-2009. Involving 4
permanent staff members, 3 post-docs and 6 PhD students. Funded by National Research
Foundation and UCT (see Appendix 3).
5. Academic project manager for a commercial aircraft icing project, ICECREMO. This involved a collaboration between British Aerospace, Rolls-Royce, GKN-Westland Helicopters,
DERA and the UK Department of Trade & Industry, 1997 - 2000.
6. Member of the U. Cape Town Science Faculty Research Committee, 2005 - 2009.
TEACHING/UNIVERSITY ADMINISTRATION
Graduate Supervision
Current: 1 post-doc (Dr V. Cregan), 1 PhD student (Mr F. Font).
Previous: 7 post-docs; main supervisor for 7 Ph.D.s and 7 M.Sc.s; co-supervisor for 1 Ph.D.
and 1 M.Sc.
For a complete list see Appendix 3, Student training
Postgraduate Teaching
1. Mathematical Modelling with Partial Differential Equations, with J. Sola-Morales (U. Politecnica de Catalunya) 2010, 2011.
2. Mathematical modelling of phase transitions. Jornades D’introducció Als Sistemes Dinàmics
I A Les Edp’s. UPC Summer School 2010.
3. Theoretical Fluid Mechanics. Masters/PhD course MAS661 Korean Advanced Institute of
Science and Technology 2009.
4. Recent progress in applied mathematics: Studies in combined fluid flow and heat transfer.
Korean Advanced Institute of Science and Technology. Graduate course 2008.
5. Myers TG, Rasmussen H. Numerical methods. Masters course MAS565. Korean Advanced
Institute of Science and Technology 2007.
6. Mathematical Modelling; M.Sc. Oxford University, 1996.
Undergraduate Teaching
1. Models Matemàtics de la Tecnologia, U. Politècnica de Catalunya, 30 3rd year students
from Maths and Physics departments.
2. Fluid Dynamics; 3rd yr, 10 students, University of Cape Town.
3. Mathematical Modelling; 2nd yr, 30 students, UCT.
4. Boundary Value Problems; 2nd yr, 30 students, UCT; 2nd and 3rd yr, 30 students, University of British Columbia.
5. Mathematics for Engineers; 2nd yr, approx 120 students, UCT.
6. Tutor for Ordinary Differential Equations; 2nd year, 20 students, Oxford University.
7. Tutor for Mathematical Modelling; 2nd year, 30 students, A.D.F.A., University of New
South Wales;
8. Tutor for General Maths & Stats; 1st year, 50 students, Wollongong Uni.
Graduate Modelling Meetings
1. OCCAM 4th UK Graduate Modelling Camp, U. Oxford 2012.
2. Graduate Industrial Mathematics Modelling Camps, University of Victoria 2001, 2005, Simon Fraser University 2002.
3. European Consortium for Maths in Industry modelling week, U. Strathclyde 1995.
External examiner
1. Ph.D./M.Sc. examiner
(a) G.A.D. Hurst, Modelling and analysis of opthalmic fluid dynamics. PhD, U. Leeds
2014.
(b) M. O’Brien, Diapiric ascent: asymptotics and numeric of slow flow with strongly
temperature-dependent viscosity. PhD U. Limerick, 2011.
(c) Ruiz Girons, Automatic Hexahedral Meshing Algorithms: From Structured To Unstructured Meshes. PhD, LACAN, U. Politecnica Catalunya, 2011.
(d) M.Sc. & PhD by dissertation, Dept. of Computational & Applied Mathematics, U.
Witwatersrand. 2004, 2008
2. 2011 - present External examiner for all Applied Maths courses, U. Limerick.
3. 2006 - 2009 External examiner for all undergraduate applied maths courses, U. Witwatersrand.
4. External examiner for M.Sc. Course in Hydrodynamic Stability Theory, Dept. of Computational & Applied Mathematics, U. Witwatersrand, 2004.
University Administration
1. Member of departmental selection committees, U. Cape Town 2003 - 2009.
2. Sole academic advisor in the quinquennial review of the School of Computational & Applied
Maths at University of the Witwatersrand, 2005.
3. Course convenor for 2nd year applied maths at U. Cape Town, 2002-2008 and 4th year
Industrial Maths course, 2004, 2008.
REFEREE/REVIEWING
Journal activities
1. Applied Mathematical Modelling, International subject editor
http://www.journals.elsevier.com/applied-mathematical-modelling/
2. Mathematics-in-Industry Case Studies Journal, Member of Editorial Board
https://www.micsjournal.ca/index.php/mics/index
3. Regular referee for 15 ISI journals, with frequent reviews for the leading journals J. Fluid
Mechanics & Physics of Fluids.
Grant bodies
1. Ministerio de Ciencia e Innovación
2. National Research Foundation of South Africa – Funding programmes; Rating of Researchers; Research Niche Area; Technikon Programme.
3. Canadian Foundation for Climate and Atmospheric Sciences.
4. Israel Science Foundation.
APPENDIX 1
PUBLICATION LIST
Journal & Proceedings papers
On Google Scholar, T.G. Myers
http://scholar.google.es/citations?user=YwCsYPMAAAAJ&hl=en
On ResearcherID.com:
http://www.researcherid.com/rid/B-2718-2008
1. Myers T.G., Font F. On the one-phase reduction of the Stefan problem with a variable phase change
temperature. Submitted to Int. Comm. Heat Mass Trans. May 2014.
2. MacDevette M.M. and Myers T.G. Mathematical modelling of a nanofluid based phase change material.
Submitted to Int. J. Thermal Sci. Dec 2013.
3. MacDevette M.M., Myers T.G., Ribera H. Heat balance integral method applied to spherical and cylindrical
Stefan problems. Submitted to Appl. Math. Comput. Nov. 2013.
4. Myers T.G., Ribas Ripoll V., Sáez de Tejada A., Mitchell S.L. and McGuinness M.J. Modelling the cardiovascular system for automatic interpretation of the blood pressure curve. Submitted to Applied Mathematical Modelling July 2013.
5. Myers T.G. Enhanced water flow in carbon nanotubes and the Navier slip conditions. To appear in Springer
Series Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2012.
6. Myers T.G., MacDevette M.M. and Font F. Continuum mathematics at the nanoscale. To appear J.
Math. Ind. Mar. 2013.
7. Font F., Myers T.G. and Mitchell S.L. A mathematical model for nanoparticle melting with density change.
To appear Microfluidics and Nanofluidics, 2014.
8. MacDevette M., Myers T.G., Wetton B.R. Boundary layer analysis and heat transfer of a nanofluid.
Microfluidics and Nanofluidics, 2014 DOI 10.1007/s10404-013-1319-1.
9. Font F., Myers T.G. Spherically symmetric nanoparticle melting with a variable phase change temperature.
J. Nanoparticle Res. 2013, 15:2086 DOI 10.1007/s11051-013-2086-3
10. Cummings L.J., Low J., Myers T.G. Influence of electric field gradient on a stretched nematic sheet. Euro.
J. Appl. Math. 2013, available on Cambridge Journals Online, CJO2013, doi:10.1017/S095679251300034X
11. Myers T.G., MacDevette M.M. and Ribera H. A time dependent model to determine the thermal conductivity of a nanofluid. J. Nanoparticle Res. 15:1775 2013, DOI 10.1007/s11051-013-1775-2
12. Myers T.G., Low J. Modelling the solidification of a power-law fluid flowing through a narrow pipe. Int.
J. Thermal Sci., 2013, http://dx.doi.org/10.1016/j.ijthermalsci.2013.03.021
13. Font F., Mitchell S.L., Myers T.G. One-dimensional solidification of supercooled melts. Int. J. Heat
Mass Trans. 62, 411-421, 2013. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2013.02.070
14. Myers T.G., S.L. Mitchell. A mathematical analysis of the motion of an in-flight soccer ball. Sports
Engineering, 1-13, 2013. DOI 10.1007/s12283-012-0105-8
15. Myers T.G. , Mitchell S.L., Font. F. Energy conservation in the one-phase supercooled Stefan problem
Int. Comm. Heat Mass Trans. 39, 2012 http://dx.doi.org/10.1016/j.icheatmasstransfer.2012.09.005
16. MacDevette M.M., Myers T.G.. Contact melting of a three-dimensional phase change material on a flat
substrate. Int. J. Heat Mass Trans., 55, 2012 http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.06.087
17. Mitchell S.L., Myers T.G. Application of Heat Balance Integral Methods to One-Dimensional Phase Change
Problems. Int. J. Diff. Eqs, 2012. doi:10.1155/2012/187902
18. Momoniat E., Myers T.G., Banda M., Charpin J. Differential Equations with Applications to Industry Int.
J. Diff. Eqs, 2012.
19. Alabert A., Myers T.G., Saludes i Closa J. Proc. 78th European Study Group with Industry/ Grups
d’Estudi de Matemàtica i Tecnologia: Barcelona, July 2010. Centre de Recerca Matemàtica, 2012.
20. Myers T.G., Mitchell S.L.. Mathematical Modelling of Phase Change with a Flowing Thin Film Progress
in Industrial Mathematics at ECMI 2010, 399-405, 2012
21. Myers T.G., Low J. An approximate mathematical model for solidification of a flowing liquid in a microchannel. Microfluid. Nanofluid. 11 (4), 417-428, 2011. DOI 10.1007/s10404-011-0807-4
22. Myers T.G., Mitchell S.L. Application of the combined integral method to Stefan problems Appl. Math.
Model. 35 (9), 4281-4294 2011. doi:10.1016/j.apm.2011.02.049
23. T.G. Myers. Why are slip lengths so large in carbon nanotubes? Microfluid. Nanofluid. 10 (5),
1141-1145, 2011. DOI 10.1007/s10404-010-0752-7
24. T.G. Myers. Aircraft Icing. Chapter in European Success Stories in Industrial Mathematics, Springer
2011.
25. S.L. Mitchell & T.G. Myers The application of standard and refined heat balance integral methods to
one-dimensional Stefan problems. SIAM Review 52 (1), 57-86 32 2010. DOI. 10.1137/080733036
26. Mitchell S. & Myers T.G. Improving the accuracy of heat balance integral methods applied to thermal
problems with time dependent boundary conditions Int. J. Heat Mass Trans. 53 (17), 3540-3551, 2010.
27. Myers T.G. Boundary layer flow of a power law fluid over a flat plate. Int. J. Heat & Mass Trans.
53 (11), 2337-2346, 2010.
28. Myers T.G. Optimal exponent heat balance and refined integral methods applied to Stefan problems. Int.
J. Heat & Mass Trans. 53 (5), 1119-1127, 2010.
29. E. Momoniat, T.G. Myers, S. Abelman. Similarity solutions of thin film flow driven by gravity and surface
shear Nonlinear Analysis: Real World Applications 10 (6), 3443-3450, 2009.
30. Myers T.G. & Charpin J.P.F. A mathematical model of the Leidenfrost effect on an axisymmetric droplet.
Phys. Fluids 21, 063101, 2009.
31. Myers T.G., Fowkes N.D. & Ballim Y. Modelling the cooling of concrete by piped water. J. Engineering
Mech. 135 (12), 1375-1383, 2009.
32. Myers T.G. & Mitchell S.L. Application of the Heat Balance and Refined Integral Methods to the Kortewegde Vries equation. Thermal Science 13(2) 2009.
33. Myers T.G. Optimizing the exponent in the Heat Balance and Refined Integral Methods. Int. Commun.
Heat Mass Transf. 2008, DOI:10.1016/j.icheatmasstransfer. 2008.10.013.
34. Myers T.G., Mitchell S.L. & Muchatibaya G. Unsteady contact melting of a rectangular cross-section phase
change material on a flat plate. Phys. Fluids 20, 103101, 2008 DOI:10.1063/1.2990751.
35. Myers T.G. & Charpin J.P.F. Modelling the temperature, maturity and moisture content in a drying
concrete block. Math. in Industry Case Studies J. 1: 24-48 2008.
36. Mitchell S.L. & Myers T.G. A heat balance integral method for one-dimensional finite ablation. J. Thermophys. & Heat Trans. 22(3): 508 – 514, Jul.-Sept. 2008. DOI: 10.2514/1.31755.
37. Ha Y-S. , Kim Y-J. & Myers T.G. A comparison of numerical schemes for convection on a fourth-order
diffusion equation. J. Comp. Phys., 227: 7246 – 7263, 2008 DOI:10.1016/j.jcp.2008.04.007.
38. Mitchell S.L. & Myers T.G. Approximate solution methods for one-dimensional solidification from an
incoming fluid. Appl. Maths & Comp., 202(1): 311 – 326, 2008. DOI:10.1016/j.amc.2008.02.031.
39. Myers T.G., Mitchell S.L., Muchatibaya G. & Myers M.Y. A cubic heat balance integral method for onedimensional melting of a finite thickness layer. Int. J. Heat & Mass Trans. 50(25-26), 5305 – 5317,
2007. DOI: http://dx.doi.org/10.1016/ j.ijheatmasstransfer.2007.06.014.
40. Charpin J.P.F., Lombe M., Myers T.G. Spin coating of non-Newtonian fluids with a moving front. Phys
Rev E 76, 2007 DOI: 10.1103/PhysRevE.76.016312.
41. Brakel T., Charpin J.P.F. & Myers T.G. One dimensional ice accretion on a conducting substrate, Int. J.
Heat & Mass Trans, 50: 1694 – 1705, 2007. DOI: 10.1016/j.ijheatmasstransfer.2006.10.014.
42. Charpin J.P.F., Myers T.G., Lombe M., de Hill P. Transportation of water based slurry in an open furrow,
launder or stream. J. S.A. Inst. Mining & Metallurgy 107, Feb. 2007.
43. Balmforth N., Ghadge S. & Myers T.G. Surface tension driven fingering of a viscoplastic film. J. nonNewtonian Fluid Mech., 142: 143 – 149, paper no. JNNFM-D-06-00043, March 2007. DOI:
10.1016/j.jnnfm.2006.07.011.
44. Mitchell S. and Myers T.G. The laminar-turbulent transition of yield stress fluids in large pipes. Proc.
4th South African Mathematics in Industry Study Group pp 1-19, Univ. of the Witwatersrand,
Jan 2007.
45. Myers T.G. & Lombe M. The importance of the Coriolis force on axisymmetric horizontal rotating thin
film flows. Chem. Engng & Procng. 45: 90-98, 2006. DOI: 10.1016/j.cep.2005.06.005.
46. Myers T.G., Charpin J.P.F. & Tshehla M. S. The flow of a variable viscosity fluid between parallel plates
with shear heating. Applied Math. Modelling, 30: 799-815. 2006. DOI: 10.1016/j.apm.2005.05.013.
47. Momoniat E. & Myers T.G. A new solution for the rotation driven spreading of a thin fluid film. Int. J.
Nonlinear Mech. 41 (2): 192-199, 2006. DOI: 10.1016/ j.ijnonlinmec.2005.07.001.
48. Charpin J.P.F., Myers T.G., Sjoberg A and Ballim Y. Modelling the temperature, maturity and moisture
content in a drying concrete block. Proc. 3rd South African Mathematics in Industry Study
Group pp 29-54, Univ. of the Witwatersrand, Jan 2006.
49. Lewis G., Frigaard I., Huang H., Myers T., Westbrook R., Carrasco-Teja M. Simple Models for an Injection
Molding System. Canadian Appl. Math. Q. 12(4): 491, Winter 2004 (Published 2006).
50. Jeoffreys M., Fowkes N. & Myers T. Determining the source of moisture variation in produced paper. Proc.
2nd South African Mathematics in Industry Study Group, Univ. of the Witwatersrand, Jan
2005. ISBN 978-0-620-38138-3.
51. Myers T.G., Charpin J.P.F. Analysis of lubricant behaviour and roll deformation during cold rolling of steel.
Proc. 2nd South African Mathematics in Industry Study Group, Univ. of the Witwatersrand,
Jan 2005. ISBN 978-0-620-38138-3.
52. Myers T.G. The application of non-Newtonian models to thin film flow. Physical Rev. E, 72: 0663021-11, 2005. DOI: 10.1103/PhysRevE.72.066302.
53. Charpin J.P.F. & Myers T.G. Modelling thin film flow with erosion, deposition and incoming rain. Advances in Water Resources, 28: 761-772, 2005. DOI: 10.1016/ j.advwatres.2004.12.010.
54. Momoniat E., Myers T.G. & Abelman S. New solutions for surface tension driven spreading of a thin film.
Int. J. Nonlinear Mech., 40: 523-529, May 2005.
55. Myers T.G. & Charpin J.P.F A mathematical model for atmospheric ice accretion and water flow on a
cold surface. Int. J. Heat & Mass Trans. 47: 5483-5500, 2004. DOI: 10.1016/j.ijheatmasstransfer.
2004.06.037.
56. Myers T.G., Liang H.X. & Wetton B. The stability and flow of a rivulet driven by interfacial shear and
gravity. Int. J. Nonlinear Mech., 39(8) pp1239-1249, 2004. DOI: 10.1016/j.ijnonlinmec.2003.08.001.
57. Charpin J.P.F., Myers T.G., Lombe M. & de Hill P. Transportation of a water based slurry in an open
furrow, launder or stream. Proc. 1st South African Mathematics in Industry Study Group,
Univ. of the Witwatersrand, Jan 2004. ISBN 0-620-33850-4.
58. Fitt A.D., Fowkes N.D., Mason D.P., Myers T.G., Moss E.A. & Cheng J. Fracturing rock with ultra high
pressure water. Proc. 1st South African Mathematics in Industry Study Group, Univ. of the
Witwatersrand, Jan 2004. ISBN 0-620-33850-4.
59. Charpin J.P.F., Myers T.G., Fitt A.D., Ballim Y. & Patini A. Modelling surface heat exchanges from a
concrete block into the environment. Proc. 1st South African Mathematics in Industry Study
Group, Univ. of the Witwatersrand, Jan 2004. ISBN 0-620-33850-4.
60. Charpin J.P.F., Myers T.G., Fitt A.D., Fowkes N., Ballim Y. & Patini A. Piped water cooling of concrete dams. Proc. 1st South African Mathematics in Industry Study Group, Univ. of the
Witwatersrand, Jan 2004. ISBN 0-620-33850-4.
61. Myers T.G. Unsteady laminar flow over a rough surface. J. Engng Math. 46 (2): 111-126, June 2003.
62. Momoniat E. & Myers T.G. Approximate Solutions for the Spreading of a Thin Liquid Droplet on a
Horizontal Rotating Disk. Proc. 6th Engineering Math. and Applics Conference, Univ. Tech.
Sydney, Australia, 9-11 July, 2003, pp159-162 Eds: R.L. May and W.F. Blyth.
63. Myers T.G., Charpin J.P.F. & Chapman S.J. The flow and solidification of a thin fluid film on an arbitrary
three-dimensional surface. Physics of Fluids 14(8) pp2788-2803 2002. DOI: 10.1063/1.1488599.
64. Myers T.G. Modelling laminar sheet flow over rough surfaces. Water Resources Research 38(11),
1230 (12 pages), doi:10.1029/2000WR000154, 2002.
65. Myers T.G., Charpin J.P.F. & Thompson C.P. Slowly accreting glaze ice due to supercooled droplets
impacting on a cold substrate. Physics of Fluids 14(1) pp240-256 2002. DOI:10.1063/1.1416186.
66. Myers T.G. Variable viscosity squeeze films in the manufacture of panel material. Int. J. Nonlinear
Mech. 38(1) pp39-49 2002. DOI: PII S0020-7462(01)00039-7.
67. Bouhennache et al Modelling InSb Czochralski Growth Proc. 6th PIMS Industrial Problem Solving Workshop, U. Washington, USA 2001.
68. Myers T.G. An extension to the Messinger model for aircraft icing. AIAA J. 39(2) pp211-218, 2001.
69. Myers T.G. & Charpin J.P.F. The effect of the Coriolis force on axisymmetric rotating thin film flows. Int.
J. Nonlinear Mech. 36(4) pp629-635 2001.
70. Myers T., Tsatomeros M. & Batten L. Potash crystallization, Proceedings of the 1st Prairie Industrial Workshop, Brandon University, Canada, 2000.
71. Budd C.J., Myers T.G. & Wilson R.E. Testing fish freshness by using a mechanical probe. Proc. 37th
European Study Group with Industry, Sheffield University 2000.
72. Anderson H.C.W., Fu S., Myers T.G. & Thompson C.P. UVIF measurements of thin liquid films Proc.
9th Int. Symposium on Flow Visualisation 2000.
73. Myers T.G. & Rienstra S. Thermally compressing corner profiles. CWI Syllabus 46 pp 39-55 1999.
74. van Beckum F. et al. Laser drilling. CWI Syllabus 46 pp 29-38 1999.
75. Myers T.G. & Hammond D.W. Ice and water film growth from incoming supercooled water droplets. Int.
J. Heat Mass Trans. 42 pp2233-2242 1999.
76. Myers T.G. & Brannan J. Density driven turbulent mixing at batch interfaces. Proc. 3rd Pacific
Institute of the Mathematical Sciences Industrial Problem Solving Workshop, Victoria
University, 1999.
77. Myers T.G. & Thompson C.P. Modelling the flow of water on aircraft in icing conditions. AIAA J. 36(6)
pp1010-1013 1998.
78. Myers T.G. Thin films with high surface tension. SIAM Review 40(3) pp441-462 1998.
79. Bolchover P., Myers T.G., Peletier M. & Wadee M.A. Behaviour of Bentonite clay in toxic waste barriers.
Proc. 30th European Study Group with Industry, Southampton Univ. 1998.
80. Beder D., Myers T.G., Ockendon J.R., Peirce A., van der Fliert B. & Ward M. Stress intensity in a
thermoroll. Proc. 1st PIMS Industrial Problem Solving Workshop, Univ. British Columbia
1997.
81. Myers T.G., Thompson C.P. & Bandakhavai V.K.S.S. Modelling water flow on aircraft in icing conditions.
Part I: Theory and results. 15th IMACS World Congress, Vol. 5: Systems Engineering,
pp643-648. Wissenschaft & Technik Verlag, Berlin 1997.
82. Myers T.G. Surface tension driven thin film flows. In The Mechanics of Thin Film Coatings. World
Scientific Publ. Co. Pte Ltd, 1996.
83. Myers T.G., editor. Proceedings of the 29th ESGI, OCIAM, Maths Inst., Oxford University, 1996.
84. Myers T.G., Aldis G.K. & Naili S. Ion induced deformation of soft tissue, Bull. Math. Biol. 57(1)
pp77-98, 1995.
85. Myers T.G., Wilson S.K., Dewynne J. & Lacey A.A. Bubble bursting in molten glass. Proc. 28th ESGI,
Cambridge University, 1995.
86. Myers T.G., Savage M.D. & Gaskell P.H. The indentation of an elastic layer by a sharp punch. Q. Jl.
Mech. Appl. Math. 47(1) pp129-140, 1994.
87. Hill J.M. & Myers T.G. The combined shear and compression of a rectangular rubber block. Z. angew.
Math. Phys., 43, pp911-923, 1992.
88. Myers T.G. A series solution method for sharp asymmetric dry contact problems. J. Strain Anal. 26(1),
pp39-45, 1991.
89. Myers T.G., Hall R.W. Savage M.D. & Gaskell P.H. The transition region of elastohydrodynamic lubrication.
Proc. Roy. Soc. Series A, 432, pp467-479, 1991.
TECHNICAL REPORTS
1. Confidential technical reports for Automotive Fuel Cell Corporation, Vancouver, Canada. Dec 2009
(a) Modelling ice removal in fuel cell flow channels Stage 3: Full one-dimensional melting process and
models for coupled flow with phase change.
(b) Modelling ice removal in fuel cell flow channels Stage 2: One-dimensional models.
(c) Modelling ice removal in fuel cell flow channels Stage 1: Literature survey and introduction to Stefan
problems.
2. Hanich L., Myers T.G. & Thompson C.P. Transient three-phase flow modelling: Five layer formulation.
Confidential report, Transient Multi-phase flow project, TMF1: Project 5 2000.
3. Myers T.G. & Charpin J.P.F. Investigation of ice growth on a rotating substrate, confidential report for
GKN-Westland Helicopters, Dec. 1999.
4. Charpin J.P.F. & Myers T.G. A FLUENT-ICECREMO interface, confidential report for GKN-Westland
Helicopters, Sept. 1999.
5. Bradean R. , Huang H., Myers T.G., Promislow K., Wetton B.& Witelski T. Droplet migration and
condensation in Teflonated porous media, confidential report for MITACS-MMSC Workshop, Simon Fraser
University/U.B.C. May 1999 (with members of SFU/ UBC Maths Depts.).
6. Myers T.G. Combined ice growth and water flow, confidential report for ICECREMO Consortium (British
Aerospace, Rolls Royce, Westland Helicopters, DERA), to develop a 3-D aircraft ice accretion code, version
1 May 1998, v.2 August 1998, v.3 Oct. 1999.
7.
Water droplet transport through a turbofan, confidential report for Rolls-Royce Aug. 1998.
8.
Ice growth model, confidential report for ICECREMO Consortium, version 1 June 1997,
version 2 Jan 1998.
9.
Water film model, confidential report for ICECREMO Consortium, Jan. 1997.
10. Myers T.G. & various members of OCIAM Coating Stability. Rexam Custom, Jan. 1996.
11.
12.
Die Coating. Rexam Custom, Oct. 1995.
Gold wire bonding, surge resistors, bubble and pinhole formation in dip coating and solder
spreading. DuPont Electronics, June 1995.
13.
Modelling Radiation from Nuclear Accidents. Royal Agricultural College, March 1995.
14.
Cross-flow Ultrafiltration. Engineering Science, Oxford University, Feb. 1995.
15.
Furrow formation in demisters. DuPont Electronics, Dec. 1994.
16.
Furrowing in demister manufacture, dip coating of capacitors and sintering. DuPont Electronics, Nov. 1994.
17.
Determining vertical on a moving ship. TSS (UK) Ltd, Sept. 1994.
18.
The motion of bubbles in shear and extensional flow. Pilkington Research, Aug. 1994.
19.
20.
Screen printing, capacitor manufacture and sintering in the electronics industry. DuPont
Electronics, May 1994.
Die swell in fibre manufacture. Courtaulds Fibres, Feb 1994.
APPENDIX 2
DETAILS OF RESEARCH FUNDING
1. 2010-2014, e 100K. Industrial applications of moving boundary problems, European Commission FP7,
Marie Curie International Re-integration grant, IRG06-GA-2009-256417. PI. T. Myers
2. 2012-2014, e 44K. Problemas de frontera móvil en presencia de capas lı́quidas. Ministerio de ciencia e
innovación. MTM2011-23789. PI. T. Myers
3. Jan-Dec 2011, e 19.5K. Problemas de frontera móvil en presencia de capas lı́quidas. Ministerio de ciencia
e innovación. MTM2010-17162-IFNO. PI. T. Myers
4. 2005-2010 $ 500K As part of team member to work at Korean Advanced Institute of Science and Technology, PI. Prof. Graeme Wake, U. Wellington.
5. 2009 Ca$ 15K. Modelling ice removal in fuel cell flow channels. Private contract, Automotive Fuel Cell
Corporation, Canada. PI. T. Myers.
6. 2003-2005 ZAR 120K Mathematical modelling of the Czochralski crystal growth process. Funding for PhD
project and experiments, Firebird Semiconductors, Canada. PIs. I. Frigaard (U. British Columbia), T.
Myers (U. Cape Town).
7. 2008, ZAR40K U. Cape Town running costs and conference travel.
8. 2007, ZAR42K UCT running costs.
9. 2007, ZAR89K National Research Foundation running costs.
10. 2006, ZAR12K UCT running costs.
11. 2005, ZAR62K Royal Society of London/NRF, to fund local and international visitors to 2nd Maths in
Industry Study Group at Wits University.
12. 2005-2007, R75K (with G. Muchatibaya) to fund PhD study, Canon-Colins Trust.
13. 2005, ZAR17K + 9K UCT running costs and conference travel grants.
14. 2004, ZAR24K NRF Sabbatical costs.
15. 2004, ZAR25K Sabbatical costs, Maths in IT and Complex Systems (MITACS, Canada).
16. 2004-2006, ZAR190K Claude Leon Harris foundation for post-doc, Dr Charpin.
17. 2004, ZAR28K UCT running costs.
18. 2003-2006, ZAR554K. Industrial mathematics grant from NRF.
19. 2003, ZAR17.5K UCT running costs and airfare for Post-doc.
20. 2002, ZAR24K Industrial mathematics grant from NRF.
21. 2002, ZAR16K UCT running costs.
22. 1997-2000, £500K, with Prof. C.P. Thompson. ICECREMO aircraft icing project. Funded by British
Aerospace, Rolls-Royce, GKN-Westland Helicopters, DERA and the UK Department of Trade and Industry.
23. 1999 £20K. A FLUENT-ICECREMO interface. GKN-Westland Helicopters. Academic PI. T. Myers.
24. 1999, £50K, with various members of Cranfield University. A numerical and analytical study on methods
for neutralising hydrogen sulphate build-up in the Brent-Spar oil rig.
25. 1998, £35K. Water flow in turbofan engines. Funded by Rolls-Royce.
APPENDIX 3
STUDENT TRAINING
Post-docs
1. June 2013 - present, Dr V. Cregan, CRM.
2. Sept. 2012 - April 2013, Dr T. Cao, CRM.
3. Mar. 2010 - Feb. 2012, Dr J. Low, CRM.
4. Dec. 2008 - Dec 2009, Dr G. Muchatibaya, UCT.
5. Aug. 2006 - Jan. 2008 Dr S. Mitchell, UCT.
6. Sept. 2002 - Sept 2006 Dr J. Charpin, UCT.
7. Mar. 1999 - Mar. 2000 Dr S. Bandakhavai, Cranfield.
8. Jan. 1997 - Dec. 1999 Dr P. Hall, Cranfield.
Ph.D. students
1. Sept. 2010 - present (expected completion July 2014), F. Font Beyond the classical Stefan problem.
CRM/U. Politecnica Catalunya.
2. Jan 2011 - Feb. 2014, M. MacDevette Heat transfer analysis of nanofluids and phase change materials.
Awarded Cum Laude. CRM/U. Politecnica Catalunya.
3. April 2002 – May 2009, M.S. Tshehla The flow of variable viscosity fluids in a channel. Part-time PhD.
U. Cape Town.
4. April 2005 – Dec. 2008, G. Muchatibaya Mathematical Modelling of Unsteady Contact Melting. U. Cape
Town.
5. Sept. 2003 – April 2006, M. Lombe The behaviour of non-Newtonian rotating thin films. U. Cape Town.
6. March 2003 – Feb. 2006, T. Brakel Fluid Mechanics and Solidification of the Czochralski InSb Crystal
Growth. U. Cape Town.
7. 1997-2002 J.P.F. Charpin Water flow on accreting ice surfaces. Cranfield Uni.
8. 1996-2002 H.C.W. Anderson Stability effects of heat and mass transfer on thin liquid films. Cranfield
Uni.
9. 1995 (- 1996) C.J. Breward The mathematics of foams, main supervisor Dr J.R. Ockendon (FRS), completed Oct. 99. U. Oxford.
M.Sc. students
1. 2012 A. Sáez de Tejada Mathematical modelling of the blood pressure signal U. Politecnica Catalunya.
2. 2012 V. Ribas Ripoll Study of the Prognosis in the Intensive Care Unit U. Politecnica Catalunya.
3. 2010, M. MacDevette Methods for solving 1D Stefan problems with application to contact melting U.
Politecnica Catalunya.
4. 2008 Z. van der Fort, Mathematical modelling of industrial problems, Part-time Masters, main supervisor
H. Laurie, U. Cape Town.
5. 2000 S. Jesunayahan Aircraft icing, Cranfield University.
6. 1998 K.J. Garner Non-Newtonian thermal lubrication, Oxford University.
7. 1995 C.J. Breward The spreading of solder, Oxford University.
8. 1994 B. Allen Ion induced deformation of soft tissue, Oxford University.