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Article

Yatim, Y.M. and Duffy, Brian and Wilson, Stephen (2013) Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film. Physics of Fluids, 25 (5). ISSN 1070-6631

Leslie, George Adam and Wilson, Stephen and Duffy, Brian (2013) Three-dimensional coating and rimming flow : a ring of fluid on a rotating horizontal cylinder. Journal of Fluid Mechanics, 716. pp. 51-82. ISSN 0022-1120

Paterson, Colin and Wilson, Stephen and Duffy, Brian (2013) Pinning, de-pinning and re-pinning of a slowly varing rivulet. European Journal of Mechanics - B/Fluids. ISSN 0997-7546 (In Press)

Yatim, Y.M. and Duffy, B.R. and Wilson, Stephen (2013) Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film. Sains Malaysina. ISSN 01266039 (In Press)

McArdle, Catriona and Pritchard, David and Wilson, Stephen (2012) The Stokes boundary layer for a thixotropic or antithixotropic fluid. Journal of Non-Newtonian Fluid Mechanics, 185-186. pp. 18-38. ISSN 0377-0257

Wilson, Stephen and Duffy, Brian (2012) Preface to the special issue on "recent developments and new directions in thin-film flow". Journal of Engineering Mathematics, 73 (1). pp. 1-2. ISSN 0022-0833

Mohd Yatim, Yazariah and Duffy, Brian and Wilson, Stephen (2012) Similarity solutions for unsteady shear-stress-driven flow of Newtonian and power-law fluids : slender rivulets and dry patches. Journal of Engineering Mathematics, 73 (1). pp. 53-69. ISSN 0022-0833

Leslie, George Adam and Wilson, Stephen and Duffy, Brian (2012) Thermoviscous coating and rimming flow. Quarterly Journal of Mechanics and Applied Mathematics, 65 (4). pp. 483-511. ISSN 0033-5614

Sullivan, Julie and Paterson, Colin and Wilson, Stephen and Duffy, Brian (2012) A thin rivulet or ridge subject to a uniform transverse shear stress at its free surface due to an external airflow. Physics of Fluids, 24 (8). ISSN 1070-6631

Pritchard, David and McArdle, Catriona R. and Wilson, Stephen K. (2011) The Stokes boundary layer for a power-law fluid. Journal of Non-Newtonian Fluid Mechanics, 166 (12-13). pp. 745-753. ISSN 0377-0257

Wilson, Stephen and Sullivan, Julie and Duffy, Brian (2011) The energetics of the breakup of a sheet and of a rivulet on a vertical substrate in the presence of a uniform surface shear stress. Journal of Fluid Mechanics, 674. pp. 281-306. ISSN 0022-1120

Leslie, G.A. and Wilson, S.K. and Duffy, B.R. (2011) Non-isothermal flow of a thin film of fluid with temperature-dependent viscosity on a stationary horizontal cylinder. Physics of Fluids, 23 (6). ISSN 1070-6631

Smith, Andrew and Wilson, Stephen and Duffy, Brian and Hall-Taylor, N. (2010) Heat and fluid flow in a scraped-surface heat exchanger containing a fluid with temperature-dependent viscosity. Journal of Engineering Mathematics, 68 (3-4). pp. 301-325. ISSN 0022-0833

Yatim, YM and Wilson, Stephen K. and Duffy, B.R. (2010) Unsteady gravity-driven slender rivulets of a power-law fluid. Journal of Non-Newtonian Fluid Mechanics, 165 (21-22). pp. 1423-1430. ISSN 0377-0257

Das, K.S. and Wilson, S.K. (2010) Dynamics of a two-dimensional vapor bubble confined between superheated or subcooled parallel plates. Physical Review E, 81 (4). p. 46313. ISSN 1550-2376

Robertson, A.C. and Taylor, I.J. and Wilson, S.K. and Duffy, B.R. and Sullivan, J.M. (2010) Numerical simulation of rivulet evolution on a horizontal cable subject to an external aerodynamic field. Journal of Fluids and Structures, 26 (1). pp. 50-73. ISSN 0889-9746

Taylor, I.J. and Robertson, A.C. and Wilson, S.K. and Duffy, B.R. and Sullivan, J.M. (2010) New developments in rain-wind-induced vibrations of cables. Proceedings of the ICE - Structures and Buildings, 163 (2). pp. 73-86. ISSN 0965-0911

Dunn, G.J. and Duffy, B.R. and Wilson, S.K. and Holland, D. (2009) Quasi-steady spreading of a thin ridge of fluid with temperature-dependent surface tension on a heated or cooled substrate. Quarterly Journal of Mechanics and Applied Mathematics, 62 (4). pp. 365-402. ISSN 0033-5614

Tougher, C.H. and Wilson, S.K. and Duffy, B.R. (2009) On the approach to the critical solution in leading order thin-film coating and rimming flow. Applied Mathematics Letters, 22 (6). pp. 882-886. ISSN 0893-9659

Dunn, Gavin and Wilson, S.K. and Duffy, B.R. and David, S. and Sefiane, K. (2009) The strong influence of substrate conductivity on droplet evaporation. Journal of Fluid Mechanics, 623. pp. 329-351. ISSN 0022-1120

Quintans Carou, J. and Wilson, S.K. and Mottram, N.J. and Duffy, B.R. (2009) Asymptotic and numerical analysis of a simple model for blade coating. Journal of Engineering Mathematics, 63 (2-4). pp. 155-176. ISSN 0022-0833

Dunn, Gavin and Wilson, S.K. and Duffy, B.R. and Sefiane, K. (2009) Evaporation of a thin droplet on a thin substrate with a high thermal resistance. Physics of Fluids, 21. 052101. ISSN 1070-6631

Duffy, B.R. and Wilson, S.K. (2009) Large-Biot-number non-isothermal flow of a thin film on a stationary or rotating cylinder. European Physical Journal - Special Topics, 166. pp. 147-150. ISSN 1951-6355

Sefiane, K. and Wilson, S.K. and David, S. and Dunn, G. and Duffy, B.R. (2009) On the effect of the atmosphere on the evaporation of sessile droplets of water. Physics of Fluids, 21 (6). 062101-1-062101-9. ISSN 1070-6631

Sullivan, J.M. and Wilson, S.K. and Duffy, B.R. (2008) A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress. Quarterly Journal of Mechanics and Applied Mathematics, 61 (1). pp. 25-61. ISSN 0033-5614

Dunn, G.J. and Wilson, S.K. and Duffy, B.R. and David, S. and Sefiane, K. (2008) A mathematical model of the evaporation of a thin sessile liquid droplet: Comparison between experiment and theory. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 323 (1-3). pp. 50-55. ISSN 0927-7757

Duffy, B.R. and Wilson, S.K. and Lee, M.E.M. (2007) A mathematical model of fluid flow in a scraped-surface heat exchanger. Journal of Engineering Mathematics, 57 (4). pp. 381-405. ISSN 0022-0833

Quintans Carou, Judit and Duffy, Brian and Mottram, Nigel and Wilson, Stephen (2006) Shear-driven and pressure-driven flow of a nematic liquid crystal in a slowly varying channel. Physics of Fluids, 18 (2). 027105-1. ISSN 1070-6631

Kenning, D.B.R. and Wen, D.S. and Das, K.S. and Wilson, S.K. (2006) Confined growth of a vapour bubble in a capillary tube at initially uniform superheat: experiments and modelling. International Journal of Heat and Mass Transfer, 49 (23-24). pp. 4653-4671. ISSN 0017-9310

Wilson, S.K. (2005) Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface. Physics of Fluids, 17 (10). ISSN 1070-6631

Wilson, S.K. and Duffy, B.R. (2005) When is it energetically favorable for a rivulet of perfectly wetting fluid to split? Physics of Fluids, 17 (7). 078104-078104. ISSN 1070-6631

Wilson, S.K. and Duffy, B.R. (2004) A rivulet of perfectly wetting fluid draining steadily down a slowly varying substrate. IMA Journal of Applied Mathematics, 70 (2). pp. 293-322. ISSN 0272-4960

Holland, D. and Wilson, S.K. and Duffy, B.R. (2003) Similarity solutions for slender rivulets with thermocapillarity. Quarterly Journal of Mechanics and Applied Mathematics, 56 (3). pp. 411-439. ISSN 0033-5614

Halling, Peter J. and Wilson, Stephen K. and Jacobs, Ralf and McKee, Sean and Coles, Christopher W. (2003) Modeling the kinetics of enzymic reactions in mainly solid reaction mixtures. Biotechnology Progress, 19 (4). pp. 1228-1237. ISSN 8756-7938

Wilson, S.K. (2003) Strong temperature-dependent viscosity effects on a rivulet draining down a uniformly heated or cooled slowly varying substrate. Physics of Fluids, 15 (4). pp. 827-840. ISSN 1070-6631

Holland, D. and Wilson, S.K. and Duffy, B.R. (2002) Similarity solutions for slender dry patches with thermocapillarity. Journal of Engineering Mathematics, 44 (4). pp. 369-394. ISSN 0022-0833

Wilson, S.K. and Hunt, R. and Duffy, B.R. (2002) On the critical solutions in coating and rimming flow on a uniformly rotating horizontal cylinder. Quarterly Journal of Mechanics and Applied Mathematics, 55 (3). pp. 357-383. ISSN 0033-5614

Wilson, S.K. and Duffy, B.R. and Hunt, R. (2002) A slender rivulet of a power-law fluid driven by either gravity or a constant shear stress at the free surface. Quarterly Journal of Mechanics and Applied Mathematics, 55 (3). pp. 385-408. ISSN 0033-5614

Wilson, S.K. and Duffy, B.R. (2002) On the gravity-driven draining of a rivulet of fluid with temperature-dependent viscosity down a uniformly heated or cooled substrate. Journal of Engineering Mathematics, 42 (3-4). pp. 359-372. ISSN 0022-0833

Wilson, S.K. and Duffy, B.R. and Ross, A.B. (2002) On the gravity-driven draining of a rivulet of a viscoplastic material down a slowly varying substrate. Physics of Fluids, 14 (2). pp. 555-571. ISSN 1070-6631

McKinley, I.S. and Wilson, S.K. (2002) The Linear stability of a drop of fluid during spin coating or subject to a jet of air. Physics of Fluids, 14 (1). pp. 133-142. ISSN 1070-6631

Stone, H.A. and Limat, L. and Wilson, S.K. and Flesselles, J.M. and Podgorski, T. (2002) Singularite anguleuse d'une ligne de contact en movement sur un substrat solide (Corner singularity of a contact line moving on a solid substrate). Comptes Rendus Physique, 3 (1). pp. 103-110. ISSN 1631-0705

Holland, D. and Duffy, Brian and Wilson, Stephen K. (2001) Thermocapillary effects on a thin viscous rivulet draining steadily down a uniformly heated or cooled slowly varying substrate. Journal of Fluid Mechanics, 441. pp. 195-221. ISSN 0022-1120

Ross, A.B. and Duffy, B.R. and Wilson, S.K. (2001) Thin-film flow of a viscoplastic material round a large horizontal stationary or rotating cylinder. Journal of Fluid Mechanics, 430. pp. 309-333. ISSN 0022-1120

McKinley, I.S. and Wilson, S.K. (2001) The Linear stability of a ridge of fluid subject to a jet of air. Physics of Fluids, 13 (4). pp. 872-883. ISSN 1070-6631

Wilson, S.K. and Duffy, B.R. and Davis, S.H. (2001) On a slender dry patch in a liquid film draining under gravity down an inclined plane. European Journal of Applied Mathematics, 12 (3). pp. 233-252. ISSN 0956-7925

Wilson, S.K. (2001) The dynamics of thin fluid films. European Journal of Applied Mathematics, 12 (3). pp. 193-194. ISSN 0956-7925

Book Section

Mohd Yatim, Yazariah and Duffy, Brian and Wilson, Stephen (2012) Travelling-wave similarity solution for unsteady flow around a dry patch driven by gravity and constant surface shear stress. In: Proceedings of the 2nd International Symposium on Frontiers of Computational Sciences 2012. AIP, pp. 88-98. ISBN 9789698453022

Yatim, Y.M. and Wilson, S.K. and Duffy, B.R. (2012) Travelling-wave similarity solutions for an unsteady gravity-driven dry patch. In: Progress in Industrial Mathematics at ECMI 2010. Springer Mathematics in Industry Series, 17 (5). Springer, pp. 441-447. ISBN 978-3-642-25099-6

Wilson, Stephen and Sefiane, K. and David, S. and Dunn, Gavin and Duffy, Brian (2010) On the effect of an atmosphere of nitrogen on the evaporation of sessile droplets of water. In: Progress in industrial mathematics at ECMI 2008. Mathematics in Industry, 15 (2). Springer, pp. 611-616. ISBN 9783642121098

Mohd Yatim, Yazariah and Wilson, Stephen and Duffy, Brian and Hunt, Roland (2010) Similarity solutions for unsteady rivulets. In: Mathematics in Industry 2010. Mathematics in industry, 15 (2). Springer, pp. 617-622. ISBN 978-3-642-12109-8

Robertson, A.C. and Taylor, I.J. and Wilson, S.K. and Duffy, B.R. and Sullivan, J.M. (2008) A model for the numerical simulation of rivulet evolution on a circular cylinder in an air flow. In: Flow-induced vibration. The Academy of Sciences of the Czech Republic, Prague, pp. 693-698. ISBN 9788087012123

Sullivan, J.M. and Wilson, S.K. and Duffy, B.R. (2008) Air-blown rivulet flow of a perfectly wetting fluid on an inclined substrate. In: Progress in Industrial Mathematics at ECMI 2006. Springer, pp. 774-778. ISBN 978-3-540-71991-5

Dunn, Gavin and Wilson, S.K. and Duffy, B.R. and David, S. and Sefiane, K. (2008) The effect of the thermal conductivity of the substrate on droplet evaporation. In: Progress in Industrial Mathematics at ECMI 2006. Springer, pp. 779-783. ISBN 978-3-540-71991-5

Dunn, G.J. and Wilson, S.K. and Duffy, B.R. and David, S. and Sefiane, K. (2007) Droplet evaporation : mathematical modelling and experiment. In: Proceedings of the 10th UK national conference on heat transfer. International Society of Coating Science and Technology, Corning.

Duffy, B.R. and Wilson, S.K. (2007) Non-isothermal thin-film flow on a stationary or rotating cylinder. In: Proceedings of the 10th UK national conference on heat transfer. International Society of Coating Science and Technology, Corning.

Manson, N.M. and Wilson, S.K. and Duffy, B.R. (2006) A mathematical model for the motion of a towed pipeline bundle. In: Mathematics in Industry: The European Consortium for Mathematics in Industry. Mathematics in Industry, 8 . Springer, pp. 610-615. ISBN 978-3-540-28072-9

Wilson, S.K. and Duffy, B.R. and Holland, D. and Ross, A.B. (2002) Steady gravity-driven rivulet flow. In: Advances in Coating Processes: Fourth European Coating Symposium. Von Karman Institute, pp. 119-126.

Conference or Workshop Item

Leslie, George Adam and Wilson, S.K. and Duffy, B.R. (2011) Non-isothermal flow of a thin film of fluid with temperature-dependent viscosity round a uniformly rotating heated or cooled cylinder. In: 12th UK National Heat Transfer Conference, 2011-08-30 - 2011-09-01, Leeds.

Herbert, A.J. and Riches, P.E. and Wilson, S.K. and McKee, S. and Black, R.A. (2010) Physical and Mathematical Modeling of the Synovial Joint and Cartilage Repair Products. In: 17th Congress of the European Society of Biomechanics, 2010-07-05 - 2010-07-08, Edinburgh, UK.

Wang, Y. and Sefiane, K. and Barber, J. and Wilson, S. (2009) Investigation of a single vapour bubble confined between superheated or subcooled parallel plates. In: 2nd Micro and Nano Flows Conference, MNF2009, 2009-09-01 - 2009-09-02, Uxbridge, UK. (Unpublished)

Smith, A.T.T. and Wilson, S.K. and Duffy, B.R. (2009) Non-isothermal flow of a fluid with temperature-dependent viscosity in a scraped-surface heat exchanger. In: 11th UK National Conference on Heat Transfer,, 2009-09-07 - 2009-09-08, London.

Wen, D.S. and Das, K.S. and Wilson, S.K. and Kenning, D.B.R. (2006) Initiation and growth of confined vapour bubbles in micro-channels. In: 44rd European Two-Phase Flow Group Meeting 2006, 2006-06-07 - 2006-06-09, Lausanne, Switzerland.

Wilson, S.K. and Duffy, B.R. and Lee, M.E.M. (2005) A mathematical model of three-dimensional flow in a scraped-surface heat exchanger. In: Proceedings of the 13th European Conference on Mathematics for Industry, 2004-06-21 - 2004-06-25, Eindhoven.

Das, K.S. and Wilson, S.K. (2004) The Unsteady expansion and contraction of a two-dimensional vapour bubble confined between superheated or subcooled plates. In: 57th Annual Meeting of the Division of Fluid Dynamics, 2004-11-21 - 2004-11-23, Seattle, Washington.

Pyle, D.L. and Sun, K.H. and Lee, M.E.M. and Please, C.P. and Fitt, A.D. and Wilson, S.K. and Duffy, B.R. and Hall-Taylor, N. (2003) Effective scraping in a scraped surface heat exchanger: some fluid flow analysis. In: International Congress on Engineering and Food, 2004-03-07 - 2004-03-11, Montpellier.

Wilson, S.K. and Das, K.S. (2003) A theoretical investigation of the unsteady expansion and contraction of a long vapour bubble confined between superheated or subcooled parallel plates. In: 8th UK National Heat Transfer Conference, 2003-09-09 - 2003-09-10, Oxford, UK.

Holland, D.B. and Duffy, B.R. and Wilson, S.K. (2001) Thermocapillary effects on a thin rivulet draining down a heated or cooled surface. In: American Physical Society, 53rd Annual Meeting of the Division of Fluid Dynamics, 2000-11-19 - 2000-11-21, Washington, USA.