# Staff Directory

## Dr Philip Trevelyan

#### Contact Details

- Faculty of Computing, Engineering and Science
- Lecturer in Mathematics
- philip.trevelyan@southwales.ac.uk
- (01443) 4 82275
- J415
- Treforest

## Qualifications

PhD Applied Mathematics, Leeds (1996-1999).

BA (Hons) 2.1 Mathematics, Oxford (1993-1996).

PgCDPPHE, University of South Wales, 2016.

## Experience

Lecturer, Mathematics, Glamorgan/South Wales (2010-now).

Co-supervised 1 PhD student.

Post-Doctoral Research Associate positions:

Chemically Driven Instabilities, Nonlinear Physical Chemistry Unit, Brussels (2006-2010).

Reactive Thin Films, Chemical Engineering, Imperial College London (2004-2006).

Heated Thin Films, Chemical Engineering, Leeds (2002-2004).

Thin Films, Chemistry Department, Leeds (1999-2002).

## Responsibilities

Course Tutor

MS4D01 – MMath Final Year Project Organiser

MS3S29 – Final Year Project Organiser

MS3S20 – Partial Differential Equations

MS2S04 – Further Calculus (first third)

MS1S461 – Mathematics and Statistics for Computing

MS0T03 – Mathematical Applications and Investigations (last third)

AM0S01 – Foundations of Mathematics

Other roles: fire warden.

## Publications

Journal Publications

52. M.J.A. Choudhury, P.M.J. Trevelyan and G.P. Boswell, Mathematical modelling of fungi-initiated siderophore-iron interactions, accepted to Mathematical Medicine & Biology.

51. S. Cowell, J. Kent and P.M.J. Trevelyan, Rayleigh-Taylor Instabilities in Miscible Fluids with Initially Piecewise Linear Density Profiles, J. Eng. Math., 121, 57-83, (2020).

50. P.M.J. Trevelyan and A.J. Walker, Asymptotic Properties of Radial A+B→C reaction fronts, Phys. Rev. E. 98, 032118, (2018).

49. M.J.A. Choudhury, P.M.J. Trevelyan and G.P. Boswell, A mathematical model of nutrient influence on fungal competition, Journal of Theoretical Biology, 438, 9-20, (2018).

48. M.J.A. Choudhury, P.M.J. Trevelyan and G.P. Boswell, Determining the kinematic properties of an advancing front using a decomposition method, IAENG, 46, 578-584, (2016).

47. V. Loodts, P.M.J. Trevelyan, L. Rongy, A. De Wit, Density profiles around A+B→C reaction-diffusion fronts in partially miscible systems: A general classification, Phys. Rev. E. 94, 043115, (2016).

46. P.M.J. Trevelyan, C. Almarcha and A. De Wit, Buoyancy-driven instabilities around miscible A+B→C reaction fronts: A general classification, Phys. Rev. E. 91, 023001, (2015).

45. J. Gandhi and P.M.J. Trevelyan, Onset conditions for a Rayleigh-Taylor instability with step function density profiles, J. Engng. Math. 86, 31-48, (2014).

44. C. Almarcha, P. M. J. Trevelyan, P. Grosﬁls and A. De Wit, Thermal effects on the diffusive layer convection instability of an exothermic acid-base reaction front, Phys. Rev. E. 88, 033009, (2013).

43. J. Carballido-Landeira, P.M.J. Trevelyan, C. Almarcha and A. De Wit, Mixed-mode instability of a miscible interface due to coupling between Rayleigh-Taylor and double-diffusive convection modes, Phys. Fluids. 25, 024107, (2013).

42. L.A. Riolfo, Y. Nagatsu, S. Iwata, R. Maes, P.M.J. Trevelyan and A. De Wit, Experimental evidence of reaction-driven miscible viscous fingering, Phys. Rev. E., 85, 015304, (2012).

41. P.M.J. Trevelyan, A. Pereira and S. Kalliadasis, Dynamics of a reactive thin film, Math. Model. Nat. Phenom., 7, 99-145, (2012).

40. P.M.J. Trevelyan, Approximating the large time asymptotic reaction zone solution for fractional order kinetics AnBm, Discrete and Continuous Dynamical Systems – Series S, 5, 219-234, (2012).

39. S. Kuster, L.A. Riolfo, A. Zalts, C. El Hasi, C. Almarcha, P.M.J. Trevelyan, A. De Wit and A. D’Onofrio, Differential diffusion effects on buoyancy-driven instabilities of acid-base fronts: the case of a color indicator, J. Phys. Chem. Chem. Phys., 13, 17295-17303 (2011).

38. C. Almarcha, Y. R’Honi, Y. De Decker, P. M. J. Trevelyan, K. Eckert, and A. De Wit, Convective mixing induced by acid-base reactions, J. Phys. Chem. B., 115, 9739-9744, (2011).

37. P.M.J. Trevelyan, C. Almarcha and A. De Wit, Buoyancy-driven instabilities of miscible two-layer stratifications in porous media and Hele-Shaw cells, J. Fluid Mech., 670, 38-65, (2011).

36. M. Mishra, P.M.J. Trevelyan, C. Almarcha and A. De Wit, Influence of double diffusive effects on miscible viscous fingering, Phys. Rev. Lett., 105, 204501 (2010).

35. S.H. Hejazi, P.M.J. Trevelyan, J. Azaiez and A. De Wit, Viscous fingering of a miscible reactive A+B→C interface: A linear stability analysis, J. Fluid Mech., 652, 501-528 (2010).

34. L. Rongy, P.M.J. Trevelyan and A. De Wit, Influence of buoyancy-driven convection on the dynamics of A+B→C reaction fronts in horizontal solution layers, Chem. Eng. Sci., 65, 2382-2391 (2010).

33. C. Almarcha, P.M.J. Trevelyan, L.A. Riolfo, A. Zalts, C. El Hasi, A. D’Onofrio and A. De Wit, Active role of a color indicator in buoyancy-driven instabilities of chemical fronts, J. Phys. Chem. Lett., 1, 752-757 (2010).

32. C. Almarcha, P.M.J. Trevelyan, P. Grosfils and A. De Wit, Chemically Driven Hydrodynamic Instabilities, Phys. Rev. Lett., 104, 044501 (2010).

31. P.M.J. Trevelyan, Analytical small time asymptotic properties of A+B→C fronts, Phys. Rev. E, 80, 046118 (2009).

30. C. Ruyer-Quil, P.M.J. Trevelyan, F. Giorgiutti-Dauphine, C. Duprat and S. Kalliadasis, Film flows down a fiber: Modeling and influence of streamwise viscous diffusion, Eur. Phys. J. Special Topics, 166, 89-92 (2009).

29. A. Pereira, P.M.J. Trevelyan, U. Thiele and S. Kalliadasis, Interfacial instabilities driven by chemical reactions, Eur. Phys. J. Special Topics, 166, 121-125 (2009).

28. P.M.J. Trevelyan, Higher-order large-time asymptotics for a reaction of the form nA+mB→C, Phys. Rev. E, 79, 016105 (2009).

27. L. Rongy, P.M.J. Trevelyan and A. De Wit, Dynamics of A+B→C reaction fronts in the presence of buoyancy-driven convection, Phys. Rev. Lett., 101, 084503 (2008).

26. P.M.J. Trevelyan, D.E. Strier and A. De Wit, Analytical asymptotic solutions of nA+mB→C reaction-diffusion equations in two-layer systems: A general study, Phys. Rev. E, 78, 026122 (2008).

25. C. Ruyer-Quil, P.M.J. Trevelyan, F. Giorgiutti-Dauphine, C. Duprat and S. Kalliadasis, Modelling film flows down a fibre, J. Fluid Mech., 603, 431-462 (2008).

24. P.M.J. Trevelyan, B. Scheid, C. Ruyer-Quil and S. Kalliadasis, Heated falling films, J. Fluid Mech., 592, 295-334 (2007).

23. A. Pereira, P.M.J. Trevelyan, U. Thiele and S. Kalliadasis, Thin Films in the Presence of Chemical Reactions, Fluid Dyn. Mater. Process., 3, 303-316 (2007).

22. A. Pereira, P.M.J. Trevelyan, U. Thiele and S. Kalliadasis, Dynamics of a horizontal thin liquid film in the presence of reactive surfactants, Phys. Fluids, 19, 112102 (2007).

21. A. Pereira, P.M.J. Trevelyan, U. Thiele and S. Kalliadasis, Interfacial hydrodynamic waves driven by chemical reactions, J. Engng. Math., 59, 207-220 (2007).

20. S. Saprykin, P.M.J. Trevelyan, R. Koopmans and S. Kalliadasis, Free-surface thin-film flows over uniformly heated topography, Phys. Rev. E, 75, 026306 (2007).

19. P.M.J. Trevelyan and S. Kalliadasis, Wave dynamics on a thin liquid film falling down a heated wall, J. Engng. Math., 50, 177-208 (2004).

18. P.M.J. Trevelyan and S. Kalliadasis, Dynamics of a reactive falling film at large Peclet numbers. I Long-wave approximation, Phys. Fluids, 16, 3191-3208 (2004).

17. P.M.J. Trevelyan and S. Kalliadasis, Dynamics of a reactive falling film at large Peclet numbers. II Nonlinear waves far from criticality: Integral-boundary-layer approximation, Phys. Fluids, 16, 3209-3226 (2004).

16. P.M.J. Trevelyan, S. Kalliadasis, J.H. Merkin and S.K. Scott, Dynamics of a vertically falling film in the presence of a first-order chemical reaction, Phys. Fluids, 14, 2402-2421 (2002).

15. P.M.J. Trevelyan, S. Kalliadasis, J.H. Merkin and S.K. Scott, Mass transport enhancement in regions bounded by rigid walls, J. Engng. Math., 42, 45-64 (2002).

14. P.M.J. Trevelyan, S. Kalliadasis, J.H. Merkin and S.K. Scott, Circulation and reaction enhancement of mass transport in a cavity, Chem. Eng. Sci., 56, 5177-5188 (2001).

13. P.M.J. Trevelyan, L. Elliott and D.B. Ingham, A numerical method for Schwarz-Christoffel conformal transformation with application to potential flow in channels with oblique sub-channels, CMES-Comp. Model. Eng., 1, 117-122 (2000).

12. L.M. Conroy, P.M.J. Trevelyan and D.B. Ingham, An analytical, numerical, and experimental comparison of the fluid velocity in the vicinity of an open tank with one and two lateral exhaust slot hoods and a uniform crossdraft, Ann. Occup. Hyg., 44, 407-419 (2000).

11. P.M.J. Trevelyan, L. Elliott and D.B. Ingham, Potential flow in a semi-infinite channel with multiple sub-channels using the Schwarz-Christoffel transformation, Comput. Meth. Appl. Mech. Eng., 189, 341-359 (2000).

Conference Proceedings / Extended Abstracts

10. L.A. Riolfo, Y. Nagatsu, P.M.J. Trevelyan, A. De Wit, Chemically-driven miscible viscous fingering: how can a reaction destabilize typically stable displacements?, European Conference on Complex Systems, Springer Proceedings in Complexity, (2013).

9. P.M.J. Trevelyan, D.E. Strier and A. De Wit, Asymptotic reaction-diffusion profiles in two-layer systems, Mathematics in Chemical Kinetics and Engineering. (Ghent, Belgium, February 2009).

8. A. Pereira, P.M.J. Trevelyan and S. Kalliadasis, Hydrodynamics of reactive thin films, Proc. 22nd Int. Cong. Theo. Appl. Mech., paper 1132. (Adelaide, Australia, August 2008).

7. S. Kalliadasis and P.M.J. Trevelyan, Dynamics of a reactive falling film at large Peclet numbers, Proc. 21st Int. Cong. Theo. Appl. Mech., paper FM14_L10220 (Warsaw, Poland, August 2004).

6. Toth, Boissonade, Scott, Westerhoff, Jonnalagadda, Gaspar, Trevelyan, Showalter, Snita, Marek, Mayama, Dewel, Simon, Sorensen, Epstein, Satnoianu, Harrison, Merkin, Hemming, Hantz, Noszticzius, Miller, Hauser, Sielewiesiuk, General discussion, Faraday Discussions, 2002, 120, 407-419. (Manchester, UK, September 2001).

5. P.M.J. Trevelyan, D.B. Ingham and L. Elliott, The effects of ventilation and sash handles on the flow in fume cupboards, Proc. Prog. Modern Vent.: 6th Int. Sym. Vent. Contam. Contr. Ventilation 2000, 2000, 2, 80-83. (Helsinki, Finland, June 2000).

4. P.M.J. Trevelyan, L. Elliott and D.B. Ingham, Boundary integral approach to determine the potential fluid flow in a channel with multiple sub-channels, Proc. 2nd UK Conf. Bdary. Int. Meth., 291-302. (London, UK, September 1999).

3. P.M.J. Trevelyan, L. Elliott and D.B. Ingham, Boundary integrals applied to potential flow in channels/oblique sub-channels, Proc. 1st Int. Conf. Bdary. Elem. Techs., 341-348. (London, UK, July 1999)

2. P.M.J. Trevelyan, L. Elliott and D.B. Ingham, Effects of a ventilation duct on the performance of a fume cupboard, RoomVent98, 1998, 1, 385-391. (Stockholm, Sweden, June 1998).

1. P.M.J. Trevelyan, L. Elliott and D.B. Ingham, Ventilation near a fume cupboard, Proc. Inst. Chem. Engrs., 1998, paper 140. (Newcastle, UK, April 1998).

## Memberships

FHEA

## Research

My research interests include: instabilities in fluid flows, modeling chemical reactions and modeling fungi.

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