Edit Profile (opens in new tab) Wilson, Stephen Kenneth Co-Author Distance Author ID: wilson.stephen-k Published as: Wilson, S. K.; Wilson, Stephen K. External Links: MGP Documents Indexed: 92 Publications since 1991 3 Contributions as Editor Co-Authors: 50 Co-Authors with 81 Joint Publications 651 Co-Co-Authors all top 5 Co-Authors 12 single-authored 65 Duffy, Brian Reginald 7 Sefiane, Khellil 7 Yatim, Yazariah Mohd 5 Dunn, Gavin J. 4 Hashim, Ishak 4 Paterson, Colin 4 Sullivan, Julie M. 3 David, Samuel 3 Leslie, G. A. 3 McKinley, I. S. 3 Mottram, Nigel J. 3 Ross, A. B. 3 Wray, Alexander W. 2 D’Ambrosio, Hannah-May 2 Davis, Stephen Howard 2 Howison, Samuel Dexter 2 Lee, M. E. M. 2 McKee, Sean 2 Ockendon, John R. 2 Schofield, Feargus G. H. 1 Al Mukahal, F. H. H. 1 Alshaikhi, Abdulwahed S. 1 Bain, Colin D. 1 Bankoff, S. George 1 Brown, C. V. 1 Colosimo, Teresa 1 Conn, J. J. A. 1 Corson, Lindsey T. 1 Hall-Taylor, N. 1 Kenning, David B. R. 1 Knox, D. J. 1 Langer, Matthias 1 Manson, N. W. 1 Matar, Omar K. 1 McArdle, Catriona R. 1 Mitchell, Andrew J. 1 Moriarty, J. A. 1 Quintans Carou, Judit 1 Quintans, Carou J. 1 Sage, I. C. 1 Smith, A. A. T. 1 Stauber, Jutta M. 1 Stokes, Yvonne Marie 1 Terrill, E. L. 1 Tougher, C. H. 1 Tronnolone, Hayden 1 Tsakonas, C. 1 Walker, Daniel E. 1 Wen, Dongsheng 1 Yang, Lisong all top 5 Serials 20 Physics of Fluids 17 Journal of Engineering Mathematics 15 Journal of Fluid Mechanics 11 Quarterly Journal of Mechanics and Applied Mathematics 4 European Journal of Applied Mathematics 3 IMA Journal of Applied Mathematics 2 Acta Mechanica 2 International Journal of Heat and Mass Transfer 2 Applied Mathematics Letters 2 Journal of Non-Newtonian Fluid Mechanics 1 Discrete Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Computational Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Physics of Fluids, A 1 European Journal of Mechanics. B. Fluids 1 Sains Malaysiana 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 92 Fluid mechanics (76-XX) 28 Classical thermodynamics, heat transfer (80-XX) 6 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 589 times in 382 Documents Cited by ▼ Year ▼ Incompressible water-entry problems at small deadrise angles. Zbl 0717.76021 Howison, S. D.; Ockendon, J. R.; Wilson, S. K. 65 1991 The third-order differential equation arising in thin-film flows and relevant to Tanner’s law. Zbl 0882.34001 Duffy, B. R.; Wilson, S. K. 41 1997 On the lifetimes of evaporating droplets with related initial and receding contact angles. Zbl 1331.76122 Stauber, Jutta M.; Wilson, Stephen K.; Duffy, Brian R.; Sefiane, Khellil 38 2015 The strong influence of substrate conductivity on droplet evaporation. Zbl 1157.76303 Dunn, G. J.; Wilson, S. K.; Duffy, B. R.; David, S.; Sefiane, K. 34 2009 The linear stability of channel flow of fluid with temperature-dependent viscosity. Zbl 0886.76030 Wall, D. P.; Wilson, S. K. 26 1996 An alternating direction implicit scheme for parabolic equations with mixed derivative and convective terms. Zbl 0854.65072 McKee, S.; Wall, D. P.; Wilson, S. K. 22 1996 A mathematical model for drying paint layers. Zbl 0910.76006 Howison, S. D.; Moriarty, J. A.; Ockendon, J. R.; Terrill, E. L.; Wilson, S. K. 18 1997 A mathematical model for the initial stages of fluid impact in the presence of a cushioning fluid layer. Zbl 0747.76022 Wilson, S. K. 17 1991 SPIN coating and air-jet blowing of thin viscous drops. Zbl 1147.76457 McKinley, I. S.; Wilson, S. K.; Duffy, B. R. 16 1999 Competitive evaporation of multiple sessile droplets. Zbl 1460.76128 Wray, Alexander W.; Duffy, Brian R.; Wilson, Stephen K. 13 2020 On the effect of the atmosphere on the evaporation of sessile droplets of water. Zbl 1183.76463 Sefiane, K.; Wilson, S. K.; David, S.; Dunn, G. J.; Duffy, B. R. 12 2009 On the critical solutions in coating and rimming flow on a uniformly rotating horizontal cylinder. Zbl 1076.76609 Wilson, S. K.; Hunt, R.; Duffy, B. R. 12 2002 The rate of spreading in spin coating. Zbl 0964.76088 Wilson, S. K.; Hunt, R.; Duffy, B. R. 12 2000 The effect of a uniform magnetic field on the onset of steady Bénard- Marangoni convection in a layer of conducting fluid. Zbl 0771.76020 Wilson, S. K. 10 1993 Thin-film and curtain flows on the outside of a rotating horizontal cylinder. Zbl 0968.76015 Duffy, B. R.; Wilson, S. K. 10 1999 Evaporation of a thin droplet on a thin substrate with a high thermal resistance. Zbl 1183.76188 Dunn, G. J.; Wilson, S. K.; Duffy, B. R.; Sefiane, K. 9 2009 A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress. Zbl 1131.76021 Sullivan, J. M.; Wilson, S. K.; Duffy, B. R. 8 2008 Strong temperature-dependent-viscosity effects on a rivulet draining down a uniformly heated or cooled slowly varying substrate. Zbl 1185.76398 Wilson, S. K.; Duffy, B. R. 8 2003 Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface. Zbl 1188.76175 Wilson, S. K.; Duffy, B. R. 8 2005 The levelling of paint films. Zbl 0773.76029 Wilson, S. K. 7 1993 On lubrication with comparable viscous and inertia forces. Zbl 0926.76028 Wilson, S. K.; Duffy, B. R. 7 1998 The lifetimes of evaporating sessile droplets are significantly extended by strong thermal effects. Zbl 1415.76044 Schofield, F. G. H.; Wilson, S. K.; Pritchard, D.; Sefiane, K. 7 2018 Blade coating of a power-law fluid. Zbl 1147.76485 Ross, A. B.; Wilson, S. K.; Duffy, B. R. 6 1999 A slender rivulet of a power-law fluid driven by either gravity or a constant shear stress at the free surface. Zbl 1042.76002 Wilson, S. K.; Duffy, B. R.; Hunt, R. 6 2002 Similarity solutions for unsteady gravity-driven slender rivulets. Zbl 1248.76041 Yatim, Y. M.; Duffy, B. R.; Wilson, S. K.; Hunt, R. 6 2011 Thin-film flow of a viscoplastic material round a large horizontal stationary or rotating cylinder. Zbl 1007.76004 Ross, A. B.; Wilson, S. K.; Duffy, B. R. 5 2001 On a slender dry patch in a liquid film draining under gravity down an inclined plane. Zbl 1097.76553 Wilson, S. K.; Duffy, B. R.; Davis, S. H. 5 2001 On the gravity-driven draining of a rivulet of fluid with temperature-dependent viscosity down a uniformly heated or cooled substrate. Zbl 1043.76018 Wilson, S. K.; Duffy, B. R. 5 2002 The effect of a uniform magnetic field on the onset of steady Marangoni convection in a layer of conducting fluid with a prescribed heat flux at its lower boundary. Zbl 0832.76027 Wilson, S. K. 5 1994 Simple waves and shocks in a thin film of a perfectly soluble anti-surfactant solution. Zbl 1387.35412 Conn, J. J. A.; Duffy, B. R.; Pritchard, D.; Wilson, S. K.; Sefiane, K. 5 2017 The onset of Bénard–Marangoni convection in a horizontal layer of fluid. Zbl 1210.76071 Hashim, I.; Wilson, S. K. 5 1999 Three-dimensional coating and rimming flow: a ring of fluid on a rotating horizontal cylinder. Zbl 1284.76050 Leslie, G. A.; Wilson, S. K.; Duffy, B. R. 5 2013 A rivulet of perfectly wetting fluid with temperature-dependent viscosity draining down a uniformly heated or cooled slowly varying substrate. Zbl 1186.76153 Duffy, B. R.; Wilson, S. K. 5 2003 The linear stability of a ridge of fluid subject to a jet of air. Zbl 1184.76360 Mckinley, I. S.; Wilson, S. K. 5 2001 Pinning, de-pinning and re-pinning of a slowly varying rivulet. Zbl 1408.76038 Paterson, C.; Wilson, S. K.; Duffy, B. R. 5 2013 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. Zbl 1241.76135 Wilson, S. K.; Sullivan, J. M.; Duffy, B. R. 4 2011 The steady thermocapillary-driven motion of a large droplet in a closed tube. Zbl 0781.76091 Wilson, S. K. 4 1993 The effect of a uniform magnetic field on the onset of Marangoni convection in a layer of conducting fluid. Zbl 0784.76028 Wilson, S. K. 4 1993 Shear-driven and pressure-driven flow of a nematic liquid crystal in a slowly varying channel. Zbl 1185.76435 Quintans, Carou J.; Duffy, B. R.; Mottram, N. J.; Wilson, S. K. 4 2006 A rivulet of perfectly wetting fluid draining steadily down a slowly varying substrate. Zbl 1329.76087 Wilson, S. K.; Duffy, B. R. 4 2005 Rivulet flow round a horizontal cylinder subject to a uniform surface shear stress. Zbl 1309.76081 Paterson, C.; Wilson, S. K.; Duffy, B. R. 4 2014 Deformation of a nearly hemispherical conducting drop due to an electric field: theory and experiment. Zbl 1323.76120 Corson, L. T.; Tsakonas, C.; Duffy, B. R.; Mottram, N. J.; Sage, I. C.; Brown, C. V.; Wilson, S. K. 4 2014 Non-isothermal flow of a thin film of fluid with temperature-dependent viscosity on a stationary horizontal cylinder. Zbl 1308.76100 Leslie, G. A.; Wilson, S. K.; Duffy, B. R. 4 2011 Porous squeeze-film flow. Zbl 1328.35171 Knox, D. J.; Wilson, S. K.; Duffy, B. R.; McKee, S. 4 2015 Unsteady gravity-driven slender rivulets of a power-law fluid. Zbl 1274.76078 Yatim, Y. M.; Wilson, S. K.; Duffy, B. R. 4 2010 The Stokes boundary layer for a power-law fluid. Zbl 1282.76038 Pritchard, David; McArdle, Catriona R.; Wilson, Stephen K. 4 2011 On the gravity-driven draining of a rivulet of a viscoplastic material down a slowly varying substrate. Zbl 1184.76593 Wilson, S. K.; Duffy, B. R.; Ross, A. B. 4 2002 Quasi-steady spreading of a thin ridge of fluid with temperature-dependent surface tension on a heated or cooled substrate. Zbl 1194.76018 Dunn, G. J.; Duffy, B. R.; Wilson, S. K.; Holland, D. 4 2009 Thermoviscous coating and rimming flow. Zbl 1291.76047 Leslie, G. A.; Wilson, S. K.; Duffy, B. R. 4 2012 The onset of steady Marangoni convection in a spherical geometry. Zbl 0817.76084 Wilson, S. K. 3 1994 An asymptotic analysis of small holes in thin fluid layers. Zbl 0879.76013 Wilson, S. K.; Duffy, B. R. 3 1996 The onset of oscillatory Marangoni convection in a semi-infinitely deep layer of fluid. Zbl 0938.76027 Hashim, I.; Wilson, S. K. 3 1999 Thermocapillary effects on a thin viscous rivulet draining steadily down a uniformly heated or cooled slowly varying substrate. Zbl 1060.76029 Holland, D.; Duffy, B. R.; Wilson, S. K. 3 2001 Asymptotic and numerical analysis of a simple model for blade coating. Zbl 1160.76004 Quintans Carou, Judit; Wilson, Stephen K.; Mottram, Nigel J.; Duffy, Brian R. 3 2009 On the approach to the critical solution in leading order thin-film coating and rimming flow. Zbl 1163.76004 Tougher, C. H.; Wilson, S. K.; Duffy, B. R. 3 2009 Similarity solutions for slender dry patches with thermocapillarity. Zbl 1083.76503 Holland, D.; Wilson, S. K.; Duffy, B. R. 3 2003 The effect of an axial temperature gradient on the steady motion of a large droplet in a tube. Zbl 0820.76032 Wilson, S. K. 3 1995 The shielding effect extends the lifetimes of two-dimensional sessile droplets. Zbl 1445.76084 Schofield, Feargus G. H.; Wray, Alexander W.; Pritchard, David; Wilson, Stephen K. 3 2020 Similarity solutions for unsteady shear-stress-driven flow of Newtonian and power-law fluids: slender rivulets and dry patches. Zbl 1398.76018 Yatim, Y. M.; Duffy, B. R.; Wilson, S. K. 3 2012 Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film. Zbl 1315.76009 Yatim, Y. M.; Duffy, B. R.; Wilson, S. K. 3 2013 Advection and Taylor-Aris dispersion in rivulet flow. Zbl 1404.86014 Al Mukahal, F. H. H.; Duffy, B. R.; Wilson, S. K. 3 2017 The linear stability of a drop of fluid during spin coating or subject to a jet of air. Zbl 1184.76361 Mckinley, I. S.; Wilson, S. K. 3 2002 The effect of uniform internal heat generation on the onset of steady Marangoni convection in a horizontal layer of fluid. Zbl 0902.76038 Wilson, S. K. 2 1997 The effect of a uniform vertical magnetic field on the linear growth rates of steady Marangoni convection in a horizontal layer of conducting fluid. Zbl 0978.76026 Hashim, I.; Wilson, S. K. 2 1999 The unsteady expansion and contraction of a long two-dimensional vapour bubble between superheated or subcooled parallel plates. Zbl 0982.76091 Wilson, S. K.; Davis, S. H.; Bankoff, S. G. 2 1999 Special issue: The dynamics of thin fluid films. Meeting at ICMS, Edinburgh, GB, July 11–14, 1999. Zbl 0986.00068 2 2001 A mathematical model of fluid flow in a scraped-surface heat exchanger. Zbl 1119.76017 Duffy, B. R.; Wilson, S. K.; Lee, M. E. M. 2 2007 Preface to the special issue on “recent developments and new directions in thin-film flow”. Zbl 1398.00116 2 2012 Thin-film flow in helically wound rectangular channels with small torsion. Zbl 1320.76013 Stokes, Y. M.; Duffy, B. R.; Wilson, S. K.; Tronnolone, H. 2 2013 A thin rivulet or ridge subject to a uniform transverse shear stress at its free surface due to an external airflow. Zbl 1309.76073 Sullivan, J. M.; Paterson, C.; Wilson, S. K.; Duffy, B. R. 2 2012 When is it energetically favorable for a rivulet of perfectly wetting fluid to split? Zbl 1187.76568 Wilson, S. K.; Duffy, B. R. 2 2005 Power domination on permutation graphs. Zbl 1411.05212 Wilson, S. 1 2019 The effect of a uniform vertical magnetic field on the onset of oscillatory Marangoni convection in a horizontal layer of conducting fluid. Zbl 0929.76051 Hashim, I.; Wilson, S. K. 1 1998 Air-blown rivulet flow of a perfectly wetting fluid on an inclined substrate. Zbl 1308.76028 Sullivan, Julie M.; Wilson, Stephen K.; Duffy, Brian R. 1 2008 Similarity solutions for slender rivulets with thermocapillarity. Zbl 1127.76325 Holland, D.; Wilson, S. K.; Duffy, B. R. 1 2003 Evaporation of a thin droplet in a shallow well: theory and experiment. Zbl 1500.76093 D’Ambrosio, Hannah-May; Colosimo, Teresa; Duffy, Brian R.; Wilson, Stephen K.; Yang, Lisong; Bain, Colin D.; Walker, Daniel E. 1 2021 Closed-form solution of a thermocapillary free-film problem due to Pukhnachev. Zbl 1387.76032 Duffy, Brian R.; Langer, Matthias; Wilson, Stephen K. 1 2015 Strongly coupled interaction between a ridge of fluid and an inviscid airflow. Zbl 1326.76051 Paterson, C.; Wilson, S. K.; Duffy, B. R. 1 2015 Heat and fluid flow in a scraped-surface heat exchanger containing a fluid with temperature-dependent viscosity. Zbl 1315.76019 Smith, A. A. T.; Wilson, S. K.; Duffy, B. R.; Hall-Taylor, N. 1 2010 Shallow flows of generalised Newtonian fluids on an inclined plane. Zbl 1360.76036 Pritchard, David; Duffy, Brian R.; Wilson, Stephen K. 1 2015 Evaporation of a thin droplet in a shallow well: theory and experiment. Zbl 1500.76093 D’Ambrosio, Hannah-May; Colosimo, Teresa; Duffy, Brian R.; Wilson, Stephen K.; Yang, Lisong; Bain, Colin D.; Walker, Daniel E. 1 2021 Competitive evaporation of multiple sessile droplets. Zbl 1460.76128 Wray, Alexander W.; Duffy, Brian R.; Wilson, Stephen K. 13 2020 The shielding effect extends the lifetimes of two-dimensional sessile droplets. Zbl 1445.76084 Schofield, Feargus G. H.; Wray, Alexander W.; Pritchard, David; Wilson, Stephen K. 3 2020 Power domination on permutation graphs. Zbl 1411.05212 Wilson, S. 1 2019 The lifetimes of evaporating sessile droplets are significantly extended by strong thermal effects. Zbl 1415.76044 Schofield, F. G. H.; Wilson, S. K.; Pritchard, D.; Sefiane, K. 7 2018 Simple waves and shocks in a thin film of a perfectly soluble anti-surfactant solution. Zbl 1387.35412 Conn, J. J. A.; Duffy, B. R.; Pritchard, D.; Wilson, S. K.; Sefiane, K. 5 2017 Advection and Taylor-Aris dispersion in rivulet flow. Zbl 1404.86014 Al Mukahal, F. H. H.; Duffy, B. R.; Wilson, S. K. 3 2017 On the lifetimes of evaporating droplets with related initial and receding contact angles. Zbl 1331.76122 Stauber, Jutta M.; Wilson, Stephen K.; Duffy, Brian R.; Sefiane, Khellil 38 2015 Porous squeeze-film flow. Zbl 1328.35171 Knox, D. J.; Wilson, S. K.; Duffy, B. R.; McKee, S. 4 2015 Closed-form solution of a thermocapillary free-film problem due to Pukhnachev. Zbl 1387.76032 Duffy, Brian R.; Langer, Matthias; Wilson, Stephen K. 1 2015 Strongly coupled interaction between a ridge of fluid and an inviscid airflow. Zbl 1326.76051 Paterson, C.; Wilson, S. K.; Duffy, B. R. 1 2015 Shallow flows of generalised Newtonian fluids on an inclined plane. Zbl 1360.76036 Pritchard, David; Duffy, Brian R.; Wilson, Stephen K. 1 2015 Rivulet flow round a horizontal cylinder subject to a uniform surface shear stress. Zbl 1309.76081 Paterson, C.; Wilson, S. K.; Duffy, B. R. 4 2014 Deformation of a nearly hemispherical conducting drop due to an electric field: theory and experiment. Zbl 1323.76120 Corson, L. T.; Tsakonas, C.; Duffy, B. R.; Mottram, N. J.; Sage, I. C.; Brown, C. V.; Wilson, S. K. 4 2014 Three-dimensional coating and rimming flow: a ring of fluid on a rotating horizontal cylinder. Zbl 1284.76050 Leslie, G. A.; Wilson, S. K.; Duffy, B. R. 5 2013 Pinning, de-pinning and re-pinning of a slowly varying rivulet. Zbl 1408.76038 Paterson, C.; Wilson, S. K.; Duffy, B. R. 5 2013 Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film. Zbl 1315.76009 Yatim, Y. M.; Duffy, B. R.; Wilson, S. K. 3 2013 Thin-film flow in helically wound rectangular channels with small torsion. Zbl 1320.76013 Stokes, Y. M.; Duffy, B. R.; Wilson, S. K.; Tronnolone, H. 2 2013 Thermoviscous coating and rimming flow. Zbl 1291.76047 Leslie, G. A.; Wilson, S. K.; Duffy, B. R. 4 2012 Similarity solutions for unsteady shear-stress-driven flow of Newtonian and power-law fluids: slender rivulets and dry patches. Zbl 1398.76018 Yatim, Y. M.; Duffy, B. R.; Wilson, S. K. 3 2012 Preface to the special issue on “recent developments and new directions in thin-film flow”. Zbl 1398.00116 2 2012 A thin rivulet or ridge subject to a uniform transverse shear stress at its free surface due to an external airflow. Zbl 1309.76073 Sullivan, J. M.; Paterson, C.; Wilson, S. K.; Duffy, B. R. 2 2012 Similarity solutions for unsteady gravity-driven slender rivulets. Zbl 1248.76041 Yatim, Y. M.; Duffy, B. R.; Wilson, S. K.; Hunt, R. 6 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. Zbl 1241.76135 Wilson, S. K.; Sullivan, J. M.; Duffy, B. R. 4 2011 Non-isothermal flow of a thin film of fluid with temperature-dependent viscosity on a stationary horizontal cylinder. Zbl 1308.76100 Leslie, G. A.; Wilson, S. K.; Duffy, B. R. 4 2011 The Stokes boundary layer for a power-law fluid. Zbl 1282.76038 Pritchard, David; McArdle, Catriona R.; Wilson, Stephen K. 4 2011 Unsteady gravity-driven slender rivulets of a power-law fluid. Zbl 1274.76078 Yatim, Y. M.; Wilson, S. K.; Duffy, B. R. 4 2010 Heat and fluid flow in a scraped-surface heat exchanger containing a fluid with temperature-dependent viscosity. Zbl 1315.76019 Smith, A. A. T.; Wilson, S. K.; Duffy, B. R.; Hall-Taylor, N. 1 2010 The strong influence of substrate conductivity on droplet evaporation. Zbl 1157.76303 Dunn, G. J.; Wilson, S. K.; Duffy, B. R.; David, S.; Sefiane, K. 34 2009 On the effect of the atmosphere on the evaporation of sessile droplets of water. Zbl 1183.76463 Sefiane, K.; Wilson, S. K.; David, S.; Dunn, G. J.; Duffy, B. R. 12 2009 Evaporation of a thin droplet on a thin substrate with a high thermal resistance. Zbl 1183.76188 Dunn, G. J.; Wilson, S. K.; Duffy, B. R.; Sefiane, K. 9 2009 Quasi-steady spreading of a thin ridge of fluid with temperature-dependent surface tension on a heated or cooled substrate. Zbl 1194.76018 Dunn, G. J.; Duffy, B. R.; Wilson, S. K.; Holland, D. 4 2009 Asymptotic and numerical analysis of a simple model for blade coating. Zbl 1160.76004 Quintans Carou, Judit; Wilson, Stephen K.; Mottram, Nigel J.; Duffy, Brian R. 3 2009 On the approach to the critical solution in leading order thin-film coating and rimming flow. Zbl 1163.76004 Tougher, C. H.; Wilson, S. K.; Duffy, B. R. 3 2009 A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress. Zbl 1131.76021 Sullivan, J. M.; Wilson, S. K.; Duffy, B. R. 8 2008 Air-blown rivulet flow of a perfectly wetting fluid on an inclined substrate. Zbl 1308.76028 Sullivan, Julie M.; Wilson, Stephen K.; Duffy, Brian R. 1 2008 A mathematical model of fluid flow in a scraped-surface heat exchanger. Zbl 1119.76017 Duffy, B. R.; Wilson, S. K.; Lee, M. E. M. 2 2007 Shear-driven and pressure-driven flow of a nematic liquid crystal in a slowly varying channel. Zbl 1185.76435 Quintans, Carou J.; Duffy, B. R.; Mottram, N. J.; Wilson, S. K. 4 2006 Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface. Zbl 1188.76175 Wilson, S. K.; Duffy, B. R. 8 2005 A rivulet of perfectly wetting fluid draining steadily down a slowly varying substrate. Zbl 1329.76087 Wilson, S. K.; Duffy, B. R. 4 2005 When is it energetically favorable for a rivulet of perfectly wetting fluid to split? Zbl 1187.76568 Wilson, S. K.; Duffy, B. R. 2 2005 Strong temperature-dependent-viscosity effects on a rivulet draining down a uniformly heated or cooled slowly varying substrate. Zbl 1185.76398 Wilson, S. K.; Duffy, B. R. 8 2003 A rivulet of perfectly wetting fluid with temperature-dependent viscosity draining down a uniformly heated or cooled slowly varying substrate. Zbl 1186.76153 Duffy, B. R.; Wilson, S. K. 5 2003 Similarity solutions for slender dry patches with thermocapillarity. Zbl 1083.76503 Holland, D.; Wilson, S. K.; Duffy, B. R. 3 2003 Similarity solutions for slender rivulets with thermocapillarity. Zbl 1127.76325 Holland, D.; Wilson, S. K.; Duffy, B. R. 1 2003 On the critical solutions in coating and rimming flow on a uniformly rotating horizontal cylinder. Zbl 1076.76609 Wilson, S. K.; Hunt, R.; Duffy, B. R. 12 2002 A slender rivulet of a power-law fluid driven by either gravity or a constant shear stress at the free surface. Zbl 1042.76002 Wilson, S. K.; Duffy, B. R.; Hunt, R. 6 2002 On the gravity-driven draining of a rivulet of fluid with temperature-dependent viscosity down a uniformly heated or cooled substrate. Zbl 1043.76018 Wilson, S. K.; Duffy, B. R. 5 2002 On the gravity-driven draining of a rivulet of a viscoplastic material down a slowly varying substrate. Zbl 1184.76593 Wilson, S. K.; Duffy, B. R.; Ross, A. B. 4 2002 The linear stability of a drop of fluid during spin coating or subject to a jet of air. Zbl 1184.76361 Mckinley, I. S.; Wilson, S. K. 3 2002 Thin-film flow of a viscoplastic material round a large horizontal stationary or rotating cylinder. Zbl 1007.76004 Ross, A. B.; Wilson, S. K.; Duffy, B. R. 5 2001 On a slender dry patch in a liquid film draining under gravity down an inclined plane. Zbl 1097.76553 Wilson, S. K.; Duffy, B. R.; Davis, S. H. 5 2001 The linear stability of a ridge of fluid subject to a jet of air. Zbl 1184.76360 Mckinley, I. S.; Wilson, S. K. 5 2001 Thermocapillary effects on a thin viscous rivulet draining steadily down a uniformly heated or cooled slowly varying substrate. Zbl 1060.76029 Holland, D.; Duffy, B. R.; Wilson, S. K. 3 2001 Special issue: The dynamics of thin fluid films. Meeting at ICMS, Edinburgh, GB, July 11–14, 1999. Zbl 0986.00068 2 2001 The rate of spreading in spin coating. Zbl 0964.76088 Wilson, S. K.; Hunt, R.; Duffy, B. R. 12 2000 SPIN coating and air-jet blowing of thin viscous drops. Zbl 1147.76457 McKinley, I. S.; Wilson, S. K.; Duffy, B. R. 16 1999 Thin-film and curtain flows on the outside of a rotating horizontal cylinder. Zbl 0968.76015 Duffy, B. R.; Wilson, S. K. 10 1999 Blade coating of a power-law fluid. Zbl 1147.76485 Ross, A. B.; Wilson, S. K.; Duffy, B. R. 6 1999 The onset of Bénard–Marangoni convection in a horizontal layer of fluid. Zbl 1210.76071 Hashim, I.; Wilson, S. K. 5 1999 The onset of oscillatory Marangoni convection in a semi-infinitely deep layer of fluid. Zbl 0938.76027 Hashim, I.; Wilson, S. K. 3 1999 The effect of a uniform vertical magnetic field on the linear growth rates of steady Marangoni convection in a horizontal layer of conducting fluid. Zbl 0978.76026 Hashim, I.; Wilson, S. K. 2 1999 The unsteady expansion and contraction of a long two-dimensional vapour bubble between superheated or subcooled parallel plates. Zbl 0982.76091 Wilson, S. K.; Davis, S. H.; Bankoff, S. G. 2 1999 On lubrication with comparable viscous and inertia forces. Zbl 0926.76028 Wilson, S. K.; Duffy, B. R. 7 1998 The effect of a uniform vertical magnetic field on the onset of oscillatory Marangoni convection in a horizontal layer of conducting fluid. Zbl 0929.76051 Hashim, I.; Wilson, S. K. 1 1998 The third-order differential equation arising in thin-film flows and relevant to Tanner’s law. Zbl 0882.34001 Duffy, B. R.; Wilson, S. K. 41 1997 A mathematical model for drying paint layers. Zbl 0910.76006 Howison, S. D.; Moriarty, J. A.; Ockendon, J. R.; Terrill, E. L.; Wilson, S. K. 18 1997 The effect of uniform internal heat generation on the onset of steady Marangoni convection in a horizontal layer of fluid. Zbl 0902.76038 Wilson, S. K. 2 1997 The linear stability of channel flow of fluid with temperature-dependent viscosity. Zbl 0886.76030 Wall, D. P.; Wilson, S. K. 26 1996 An alternating direction implicit scheme for parabolic equations with mixed derivative and convective terms. Zbl 0854.65072 McKee, S.; Wall, D. P.; Wilson, S. K. 22 1996 An asymptotic analysis of small holes in thin fluid layers. Zbl 0879.76013 Wilson, S. K.; Duffy, B. R. 3 1996 The effect of an axial temperature gradient on the steady motion of a large droplet in a tube. Zbl 0820.76032 Wilson, S. K. 3 1995 The effect of a uniform magnetic field on the onset of steady Marangoni convection in a layer of conducting fluid with a prescribed heat flux at its lower boundary. Zbl 0832.76027 Wilson, S. K. 5 1994 The onset of steady Marangoni convection in a spherical geometry. Zbl 0817.76084 Wilson, S. K. 3 1994 The effect of a uniform magnetic field on the onset of steady Bénard- Marangoni convection in a layer of conducting fluid. Zbl 0771.76020 Wilson, S. K. 10 1993 The levelling of paint films. Zbl 0773.76029 Wilson, S. K. 7 1993 The steady thermocapillary-driven motion of a large droplet in a closed tube. Zbl 0781.76091 Wilson, S. K. 4 1993 The effect of a uniform magnetic field on the onset of Marangoni convection in a layer of conducting fluid. Zbl 0784.76028 Wilson, S. K. 4 1993 Incompressible water-entry problems at small deadrise angles. Zbl 0717.76021 Howison, S. D.; Ockendon, J. R.; Wilson, S. K. 65 1991 A mathematical model for the initial stages of fluid impact in the presence of a cushioning fluid layer. Zbl 0747.76022 Wilson, S. K. 17 1991 all cited Publications top 5 cited Publications all top 5 Cited by 662 Authors 41 Wilson, Stephen Kenneth 31 Duffy, Brian Reginald 10 Korobkin, Alexander A. 9 Smith, Frank T. 8 Momoniat, Ebrahim 8 Sefiane, Khellil 7 Lohse, Detlef 6 Benilov, Eugene S. 6 Cimpeanu, Radu 6 Moore, Matthew R. 6 Oliver, James M. 6 Purvis, Richard 6 Stone, Howard Alvin 6 Taranets, Roman M. 5 Cooker, Mark J. 5 Diddens, Christian 5 Hashim, Ishak 5 Howell, Peter D. 5 in ’t Hout, Karel J. 5 Kalliadasis, Serafim 5 King, John Robert 5 Kondic, Lou 5 Semenov, Yuriy A. 5 Wray, Alexander W. 4 Eggers, Jens G. 4 Fomin, Sergei A. 4 Hicks, Peter D. 4 Khabakhpasheva, Tatyana I. 4 Nouar, Chérif 4 Ockendon, John R. 4 Savva, Nikos 4 Sekhar, T. Raja 4 Urmancheev, S. F. 4 Vella, Dominic 4 Whiteley, Jonathan P. 4 Witelski, Thomas P. 4 Yatim, Yazariah Mohd 3 Abdullah, Abdullah Ahmad 3 Balmforth, Neil J. 3 Dunn, Gavin J. 3 Govindarajan, Rama 3 Homsy, George M. 3 Howison, Samuel Dexter 3 Kireev, Victor N. 3 Lee, Sungyon 3 Li, Yaxing 3 Lin, Te-Sheng 3 Liu, Kevin Fong-Rey 3 Lv, Pengyu 3 McKinley, I. S. 3 Nizamova, A. D. 3 Roy, R. Valéry 3 Saxton, M. A. 3 Schwartz, Leonard W. 3 Thiele, Uwe 3 Usha, R. 3 van der Meer, Devaraj 3 Vanden-Broeck, Jean-Marc 3 Wu, Guo Xiong 3 Zaleski, Stéphane 2 Ajaev, Vladimir S. 2 Antkowiak, Arnaud 2 Arrarás, Andres 2 Bai, Zhongzhi 2 Barthwal, Rahul 2 Batyaev, E. A. 2 Bostwick, Joshua B. 2 Botsch, T. 2 Bowen, Mark 2 Breuer, Michael 2 Chan, Raymond Hon-Fu 2 Chugunov, Vladimir 2 Chugunova, Marina A. 2 Colinet, Pierre 2 Cummings, Linda J. 2 D’Ambrosio, Hannah-May 2 Dandapat, Bhabani Shankar 2 David, Samuel 2 Delgado, Antonio 2 Dhar, Purbarun 2 Dietrich, Erik 2 Diez, Javier Alberto 2 El-Dib, Yusry O. 2 Fontelos López, Marco Antonio 2 Galeano-Rios, Carlos A. 2 Gaskell, Philip H. 2 Hennessy, Matthew G. 2 Hewitt, Ian J. 2 Hinton, Edward M. 2 Hooshanginejad, Alireza 2 Jaiswal, Vivek 2 Jalaal, Maziyar 2 Josserand, Christophe 2 Karapetsas, George 2 Kaushal, Abhishek 2 Khayat, Roger E. 2 Khayyat, Latifa Ishaq 2 Kooij, E. Stefan 2 Kumar, Manoj 2 Kumar, Satish ...and 562 more Authors all top 5 Cited in 82 Serials 122 Journal of Fluid Mechanics 53 Physics of Fluids 41 Journal of Engineering Mathematics 10 European Journal of Mechanics. B. 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Terceira Série 1 International Journal of Numerical Analysis and Modeling 1 Waves in Random and Complex Media 1 Differential Equations & Nonlinear Mechanics 1 Acta Mechanica Sinica 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Statistics and Computing 1 Annals of Finance 1 Journal of Mathematics in Industry 1 Mathematical Sciences 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 AIMS Mathematics all top 5 Cited in 23 Fields 335 Fluid mechanics (76-XX) 56 Classical thermodynamics, heat transfer (80-XX) 38 Partial differential equations (35-XX) 38 Numerical analysis (65-XX) 23 Mechanics of deformable solids (74-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 4 Geophysics (86-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year