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Number of items: 123.

2024

Cousins, Joseph R. L. and Bhadwal, Akhshay S. and Mottram, Nigel J. and Brown, Carl V. and Wilson, Stephen K. (2024) Flow manipulation of a nematic liquid crystal in a Hele-Shaw cell with an electrically-controlled viscous obstruction. Journal of Fluid Mechanics, 996. R1. ISSN 0022-1120

Cousins, Joseph R. L. and Mottram, Nigel J. and Wilson, Stephen K. (2024) Hele-Shaw flow of a nematic liquid crystal. Physical Review E, 110 (3). 034702. ISSN 2470-0053

Bhadwal, Akhshay S. and Cousins, Joseph R. L. and Mottram, Nigel J. and Wilson, Stephen K. and Duffy, Brian R. and Sage, Ian C. and Brown, Carl V. (2024) Active control of the free surface of a rivulet of a nematic liquid crystal with an electric field. Physical Review Fluids, 9 (6). 064002. ISSN 2469-990X

2023

D'Ambrosio, Hannah-May and Wilson, Stephen K. and Wray, Alexander W. and Duffy, Brian R. (2023) The effect of the spatial variation of the evaporative flux on the deposition from a thin sessile droplet. Journal of Fluid Mechanics, 970. A1. ISSN 0022-1120

McKinlay, Rebecca A. and Wray, Alexander W. and Wilson, Stephen K. (2023) Late-time draining of a thin liquid film on the outer surface of a circular cylinder. Physical Review Fluids, 8 (8). 084001. ISSN 2469-990X

Cousins, Joseph R. L. and Bhadwal, Akhshay S. and Corson, Lindsey T. and Duffy, Brian R. and Sage, Ian C. and Brown, Carl V. and Mottram, Nigel J. and Wilson, Stephen K. (2023) Weak-anchoring effects in a thin pinned ridge of nematic liquid crystal. Physical Review E, 107 (3). 034702. ISSN 2470-0053

Wilson, Stephen K. and D'Ambrosio, Hannah-May (2023) Evaporation of sessile droplets. Annual Review of Fluid Mechanics, 55 (1). pp. 481-509. ISSN 1545-4479

2022

Alshaikhi, Abdulwahed S. and Grinfeld, Michael and Wilson, Stephen K. (2022) Patterns formed in a thin film with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure. European Journal of Applied Mathematics, 33 (5). pp. 894-918. ISSN 0956-7925

Wilson, Stephen K. and Duffy, Brian R.; Brutin, David and Sefiane, Khelil, eds. (2022) Mathematical models for the evaporation of sessile droplets. In: Drying of Complex Fluid Drops. Royal Society of Chemistry, London, pp. 47-67. ISBN 9781839161209

Mitchell, Andrew J. and Duffy, Brian R. and Wilson, Stephen K. (2022) Unsteady coating flow on a rotating cylinder in the presence of an irrotational airflow with circulation. Physics of Fluids, 34 (4). 043105. ISSN 1070-6631

Cousins, Joseph R. L. and Duffy, Brian R. and Wilson, Stephen K. and Mottram, Nigel J. (2022) Young and Young-Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states. Proceedings A: Mathematical, Physical and Engineering Sciences, 478 (2259). 20210849. ISSN 1471-2962

Mitchell, Andrew J. and Duffy, Brian R. and Wilson, Stephen K. (2022) Coating flow on a rotating cylinder in the presence of an irrotational airflow with circulation. Journal of Fluid Mechanics, 932. A33. ISSN 1469-7645

2021

D'Ambrosio, Hannah-May and Colosimo, Teresa and Duffy, Brian R. and Wilson, Stephen K. and Yang, Lisong and Bain, Colin D. and Walker, Daniel E. (2021) Evaporation of a thin droplet in a shallow well: theory and experiment. Journal of Fluid Mechanics, 927. A43. ISSN 1469-7645

Alshaikhi, Abdulwahed S. and Wilson, Stephen K. and Duffy, Brian R. (2021) Rivulet flow over and through a permeable membrane. Physical Review Fluids, 6 (10). 104003. ISSN 2469-990X

Wray, Alexander W. and Wray, Patrick S. and Duffy, Brian R. and Wilson, Stephen K. (2021) Contact-line deposits from multiple evaporating droplets. Physical Review Fluids, 6 (7). 073604. ISSN 2469-990X

Schofield, Feargus G. H. and Pritchard, David and Wilson, Stephen K. and Sefiane, Khellil (2021) The lifetimes of evaporating sessile droplets of water can be strongly influenced by thermal effects. Fluids, 6 (4). 141. ISSN 2311-5521

Burridge, Henry C. and Bhagat, Rajesh K. and Stettler, Marc E. J. and Kumar, Prashant and De Mel, Ishanki and Demis, Panagiotis and Hart, Allen and Johnson-Llambias, Yyanis and King, Marco-Felipe and Klymenko, Oleksiy and McMillan, Alison and Morawiecki, Piotr and Pennington, Thomas and Short, Michael and Sykes, David and Trinh, Philippe H. and Wilson, Stephen K. and Wong, Clint and Wragg, Hayley and Davies Wykes, Megan S. and Iddon, Chris and Woods, Andew W. and Mingotti, Nicola and Bhamidipati, Neeraja and Woodward, Huw and Beggs, Clive and Davies, Hywel and Fitzgerald, Shaun and Pain, Christopher and Linden, P.F. (2021) The ventilation of buildings and other mitigating measures for COVID-19 : a focus on wintertime. Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, 477 (2247). 20200855. ISSN 1471-2962

2020

Chen, Yuhong and Askounis, Alexandros and Koutsos, Vasileios and Valluri, Prashant and Takata, Yasuyuki and Wilson, Stephen K. and Sefiane, Khellil (2020) On the effect of substrate viscoelasticity on the evaporation kinetics and deposition patterns of nanosuspension drops. Langmuir, 36 (1). pp. 204-213. ISSN 0743-7463

Cousins, J. R. L. and Wilson, S. K. and Mottram, N. J. and Wilkes, D. and Weegels, L. (2020) Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring. Physical Review E, 102 (6). 062703. ISSN 2470-0053

Alshaikhi, Abdulwahed S. and Wilson, Stephen K. and Duffy, Brian R. (2020) Rivulet flow down a slippery substrate. Physics of Fluids, 32 (7). 072011. ISSN 1070-6631

Schofield, Feargus G. H. and Wray, Alexander W. and Pritchard, David and Wilson, Stephen K. (2020) The shielding effect extends the lifetimes of two-dimensional sessile droplets. Journal of Engineering Mathematics, 120 (1). pp. 89-110. ISSN 0022-0833

Wray, Alexander W. and Duffy, Brian R. and Wilson, Stephen K. (2020) Competitive evaporation of multiple sessile droplets. Journal of Fluid Mechanics, 884. A45. ISSN 0022-1120

Pritchard, David and Croudace, Andrew I. and Wilson, Stephen K. (2020) Thixotropic pumping in a cylindrical pipe. Physical Review Fluids, 5 (1). 013303. ISSN 2469-990X

2019

Cousins, J. R. L. and Wilson, S. K. and Mottram, N. J. and Wilkes, D. and Weegels, L. (2019) Squeezing a drop of nematic liquid crystal with strong elasticity effects. Physics of Fluids, 31 (8). 083107. ISSN 1070-6631

2018

Duffy, B. R. and Wilson, S. K. and Conn, J. J. A. and Sefiane, K. (2018) Unsteady motion of a long bubble or droplet in a self-rewetting system. Physical Review Fluids, 3 (12). 123603. ISSN 2469-990X

Cousins, Joseph R. L. and Wilson, Stephen K. and Mottram, Nigel J. and Wilkes, David and Weegels, Leo and Lin, KY (2018) A model for the formation of mura during the One-Drop-Filling process. In: 25th International Display Workshop 2018, 2018-12-12 - 2018-12-14, Nagoya Congress Center.

Schofield, F. G. H. and Wilson, S. K. and Pritchard, D. and Sefiane, K. (2018) The lifetimes of evaporating sessile droplets are significantly extended by strong thermal effects. Journal of Fluid Mechanics, 851. pp. 231-244. ISSN 0022-1120

Al Mukahal, F. H. H. and Duffy, B. R. and Wilson, S. K. (2018) Rivulet flow of generalized Newtonian fluids. Physical Review Fluids, 3 (8). 083302. ISSN 2469-990X

2017

Matar, Omar K. and Wilson, Stephen K. (2017) Preface to the special issue celebrating 50 years of the Journal of Engineering Mathematics. Journal of Engineering Mathematics, 107 (1). pp. 1-4. ISSN 0022-0833

Conn, J. J. A. and Duffy, B. R. and Pritchard, D. and Wilson, S. K. and Sefiane, K. (2017) Simple waves and shocks in a thin film of a perfectly soluble antisurfactant solution. Journal of Engineering Mathematics, 107 (1). pp. 167-178. ISSN 0022-0833

Al Mukahal, F. H. H. and Duffy, B. R. and Wilson, S. K. (2017) Advection and Taylor-Aris dispersion in rivulet flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473 (2207). 20170524. ISSN 1471-2962

Corson, L. T. and Tsakonas, C. and Duffy, B. R. and Mottram, N. J. and Brown, C. V. and Wilson, S. K.; Russo, Giovanni and Capasso, Vincenzo and Nicosia, Giuseppe and Romano, Vittorio, eds. (2017) Electro-manipulation of droplets for microfluidic applications. In: Progress in Industrial Mathematics at ECMI 2014. Mathematics in Industry, 22 . Springer, ITA, pp. 1073-1080. ISBN 9783319234120

Matar, Omar K. and Wilson, Stephen K. (2017) Preface to the inaugural "Perspectives" article entitled "The importance of being thin" by Stephen H. Davis. Journal of Engineering Mathematics, 105 (1). pp. 1-2. ISSN 0022-0833

Croudace, Andrew I. and Pritchard, David and Wilson, Stephen K. (2017) Unsteady flow of a thixotropic fluid in a slowly varying pipe. Physics of Fluids, 29 (8). 083103. ISSN 1070-6631

Knox, D. J. and Duffy, B. R. and McKee, S. and Wilson, S. K. (2017) Squeeze-film flow between a curved impermeable bearing and a flat porous bed. Physics of Fluids, 29 (2). 023101. ISSN 1070-6631

2016

Pritchard, David and Wilson, Stephen K. and McArdle, Catriona R. (2016) Flow of a thixotropic or antithixotropic fluid in a slowly varying channel : the weakly advective regime. Journal of Non-Newtonian Fluid Mechanics, 238. pp. 140-157. ISSN 0377-0257

Corson, L. T. and Mottram, N. J. and Duffy, B. R. and Wilson, S. K. and Tsakonas, C. and Brown, C. V. (2016) Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field. Physical Review E, 94. 043112. ISSN 2470-0053

Conn, Justin J. A. and Duffy, Brian R. and Pritchard, David and Wilson, Stephen K. and Halling, Peter J. and Sefiane, Khellil (2016) Fluid-dynamical model for antisurfactants. Physical Review E, 93 (4). 043121. ISSN 2470-0053

2015

Stauber, Jutta M. and Wilson, Stephen K. and Duffy, Brian R. and Sefiane, Khellil (2015) On the lifetimes of evaporating droplets with related initial and receding contact angles. Physics of Fluids, 27 (12). 122101. ISSN 1070-6631

Duffy, Brian R. and Langer, Matthias and Wilson, Stephen K. (2015) Closed-form solution of a thermocapillary free-film problem due to Pukhnachev. European Journal of Applied Mathematics, 26 (5). pp. 721-741. ISSN 0956-7925

Pritchard, David and Duffy, Brian R. and Wilson, Stephen K. (2015) Shallow flows of generalised Newtonian fluids on an inclined plane. Journal of Engineering Mathematics, 94 (1). pp. 115-133. ISSN 0022-0833

Al Mukahal, F.H.H. and Wilson, S.K. and Duffy, B.R. (2015) A rivulet of a power-law fluid with constant width draining down a slowly varying substrate. Journal of Non-Newtonian Fluid Mechanics, 224. pp. 30-39. ISSN 0377-0257

Paterson, C. and Wilson, S. K. and Duffy, B. R. (2015) Strongly coupled interaction between a ridge of fluid and an inviscid airflow. Physics of Fluids, 27 (7). 072104. ISSN 1070-6631

Al Mukahal, F. H. H. and Duffy, B. R. and Wilson, S. K. (2015) A rivulet of a power-law fluid with constant contact angle draining down a slowly varying substrate. Physics of Fluids, 27 (5). 052101. ISSN 1070-6631

Stauber, Jutta M. and Wilson, Stephen K. and Duffy, Brian R. and Sefiane, Khellil (2015) Evaporation of droplets on strongly hydrophobic substrates. Langmuir, 31 (12). pp. 2353-2360. ISSN 0743-7463

Knox, D.J. and Wilson, S.K. and Duffy, B.R. and McKee, S. (2015) Porous squeeze-film flow. IMA Journal of Applied Mathematics, 80 (2). pp. 376-409. ISSN 1464-3634

2014

Corson, Lindsey T. and Tsakonas, Costas and Duffy, Brian R. and Mottram, Nigel J. and Sage, Ian C. and Brown, Carl V. and Wilson, Stephen K. (2014) Deformation of a nearly-hemispherical conducting drop due to an electric field : theory and experiment. Physics of Fluids, 26 (12). 122106. ISSN 1070-6631

Trinh, Philippe H. and Wilson, Stephen K. and Stone, Howard A. (2014) A pinned or free-floating rigid plate on a thin viscous film. Journal of Fluid Mechanics, 760. pp. 407-430. ISSN 0022-1120

Paterson, Colin and Wilson, Stephen and Duffy, Brian (2014) Rivulet flow round a horizontal cylinder subject to a uniform surface shear stress. Quarterly Journal of Mechanics and Applied Mathematics, 67 (4). pp. 567-597. ISSN 0033-5614

Duffy, Brian R. and Pritchard, David and Wilson, Stephen K. (2014) The shear-driven Rayleigh problem for generalised Newtonian fluids. Journal of Non-Newtonian Fluid Mechanics, 206. pp. 11-17. ISSN 0377-0257

Stauber, J. M. and Wilson, S. K. and Duffy, B. R. and Sefiane, K. (2014) On the lifetimes of evaporating droplets. Journal of Fluid Mechanics, 744. R2. ISSN 0022-1120

2013

Paterson, Colin and Wilson, Stephen and Duffy, Brian (2013) Pinning, de-pinning and re-pinning of a slowly varying rivulet. European Journal of Mechanics - B/Fluids, 41 (septem). pp. 94-108. ISSN 0997-7546

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). 052103. 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

Stauber, Jutta and Wilson, Stephen K. and Duffy, Brian and Sefiane, K. (2013) Comment on "Increased evaporation kinetics of sessile droplets by using nanoparticles". Langmuir, 29 (39). pp. 12328-12329. ISSN 0743-7463

Stokes, Y.M. and Duffy, Brian R. and Wilson, Stephen K. and Tronnolone, H. (2013) Thin-film flow in helically wound rectangular channels with small torsion. Physics of Fluids, 25 (8). 083103. ISSN 1070-6631

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 Malaysiana, 42 (7). pp. 975-980. ISSN 0126-6039

2012

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

Sullivan, J. M. and Paterson, C. and Wilson, S. K. and Duffy, B. R. (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). 082109. ISSN 1070-6631

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

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, PAK, 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

2011

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.

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). 062101. ISSN 1070-6631

2010

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

Wilson, Stephen and Sefiane, K. and David, S. and Dunn, Gavin and Duffy, Brian; Fitt, Alistair and Norbury, John and Ockendon, Hilary and Wilson, Eddie, eds. (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 . Springer, GBR, pp. 611-616. ISBN 9783642121098

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

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). 046314. ISSN 2470-0053

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

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.

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

2009

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

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. (Unpublished)

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

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.

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. ISSN 1070-6631

2008

Robertson, A.C. and Taylor, I.J. and Wilson, S.K. and Duffy, B.R. and Sullivan, J.M.; Zolotarev, I. and Horacek, J., eds. (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

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

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

Sullivan, J.M. and Wilson, S.K. and Duffy, B.R.; Bonilla, L.L. and Moscoso, M. and Platero, G. and Vega, J.M., eds. (2008) Air-blown rivulet flow of a perfectly wetting fluid on an inclined substrate. In: Mathematics in Industry. 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.; Bonilla, Luis L. and Moscoso, Miguel, eds. (2008) The effect of the thermal conductivity of the substrate on droplet evaporation. In: Mathematics in Industry. Springer, pp. 779-783. ISBN 978-3-540-71991-5

2007

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

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.

2006

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

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.

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. ISSN 1070-6631

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

Wilson, Stephen and Duffy, Brian and Lee, M.E.M.; Di Bucchianico, A. and Mattheij, R.M.M. and Peletier, M.A., eds. (2006) A mathematical model of three-dimensional flow in a scraped-surface heat exchanger. In: Mathematics in Industry. Mathematics in Industry, 8 . Springer, Heidelberg, pp. 308-312. ISBN 978-3-540-28072-9

2005

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. ISSN 1070-6631

Wilson, S.K. and Duffy, B.R. (2005) A rivulet of perfectly wetting fluid draining steadily down a slowly varying substrate. IMA Journal of Applied Mathematics, 70 (2). pp. 293-322. ISSN 1464-3634

2004

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.

Wilson, Stephen K. and Duffy, Brian R. and Lee, Michael E.M. (2004) 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.

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. (2004) 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.

2003

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

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.

2002

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

Wilson, S.K. and Duffy, B.R. and Holland, D. and Ross, A.B.; Buchlin, J. and Anthoine, J., eds. (2002) Steady gravity-driven rivulet flow. In: Advances in Coating Processes. Von Karman Institute, pp. 119-126. ISBN 9782960024371