All Stories

  1. The effect of the spatial variation of the evaporative flux on the deposition from a thin sessile droplet

    Article • Journal of Fluid Mechanics, August 2023, Cambridge University Press

    Professor Stephen Kenneth Wilson

  2. Late-time draining of a thin liquid film on the outer surface of a circular cylinder

    Article • Physical Review Fluids, August 2023, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  3. Weak-anchoring effects in a thin pinned ridge of nematic liquid crystal

    Article • March 2023, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  4. Evaporation of Sessile Droplets

    Article • Annual Review of Fluid Mechanics, January 2023, Annual Reviews

    Professor Stephen Kenneth Wilson

  5. Unsteady coating flow on a rotating cylinder in the presence of an irrotational airflow with circulation

    Article • Physics of Fluids, April 2022, American Institute of Physics

    Brian Duffy, Professor Stephen Kenneth Wilson

  6. Young and Young–Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, March 2022, Royal Society Publishing

    Professor Stephen Kenneth Wilson

  7. Chapter 4. Mathematical Models for the Evaporation of Sessile Droplets

    Article • January 2022, Royal Society of Chemistry

    Professor Stephen Kenneth Wilson

  8. Coating flow on a rotating cylinder in the presence of an irrotational airflow with circulation

    Article • Journal of Fluid Mechanics, December 2021, Cambridge University Press

    Professor Stephen Kenneth Wilson

  9. Rivulet flow over and through a permeable membrane

    Article • Physical Review Fluids, October 2021, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  10. Evaporation of a thin droplet in a shallow well: theory and experiment

    Article • Journal of Fluid Mechanics, October 2021, Cambridge University Press

    Professor Stephen Kenneth Wilson

  11. Patterns formed in a thin film with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure

    Article • European Journal of Applied Mathematics, August 2021, Cambridge University Press

    Professor Stephen Kenneth Wilson

  12. Contact-line deposits from multiple evaporating droplets

    Article • Physical Review Fluids, July 2021, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  13. The Lifetimes of Evaporating Sessile Droplets of Water Can Be Strongly Influenced by Thermal Effects

    Article • Fluids, April 2021, MDPI AG

    Professor Stephen Kenneth Wilson

  14. The ventilation of buildings and other mitigating measures for COVID-19: a focus on wintertime

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, March 2021, Royal Society Publishing

    Professor Stephen Kenneth Wilson

  15. The Strong Influence of Thermal Effects on the Lifetime of an Evaporating Droplet

    Article • January 2021, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  16. Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring

    Article • December 2020, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  17. Rivulet flow down a slippery substrate

    Article • Physics of Fluids, July 2020, American Institute of Physics

    Professor Stephen Kenneth Wilson, Brian Duffy

  18. The shielding effect extends the lifetimes of two-dimensional sessile droplets

    Article • Journal of Engineering Mathematics, February 2020, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  19. Thixotropic pumping in a cylindrical pipe

    Article • Physical Review Fluids, January 2020, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  20. On the Effect of Substrate Viscoelasticity on the Evaporation Kinetics and Deposition Patterns of Nanosuspension Drops

    Article • Langmuir, December 2019, American Chemical Society (ACS)

    Professor Stephen Kenneth Wilson

  21. Competitive evaporation of multiple sessile droplets

    Article • Journal of Fluid Mechanics, December 2019, Cambridge University Press

    Professor Stephen Kenneth Wilson

  22. Squeezing a drop of nematic liquid crystal with strong elasticity effects

    Article • Physics of Fluids, August 2019, American Institute of Physics

    Professor Stephen Kenneth Wilson

  23. Unsteady motion of a long bubble or droplet in a self-rewetting system

    Article • Physical Review Fluids, December 2018, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  24. Rivulet flow of generalized Newtonian fluids

    Article • Physical Review Fluids, August 2018, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  25. The lifetimes of evaporating sessile droplets are significantly extended by strong thermal effects

    Article • Journal of Fluid Mechanics, July 2018, Cambridge University Press

    Professor Stephen Kenneth Wilson

  26. Preface to the special issue celebrating 50 years of the Journal of Engineering Mathematics

    Article • Journal of Engineering Mathematics, November 2017, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  27. Advection and Taylor–Aris dispersion in rivulet flow

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, November 2017, Royal Society Publishing

    Professor Stephen Kenneth Wilson

  28. Simple waves and shocks in a thin film of a perfectly soluble anti-surfactant solution

    Article • Journal of Engineering Mathematics, August 2017, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  29. Unsteady flow of a thixotropic fluid in a slowly varying pipe

    Article • Physics of Fluids, August 2017, American Institute of Physics

    Professor Stephen Kenneth Wilson

  30. Preface to the inaugural “Perspectives” article entitled “The importance of being thin” by Stephen H. Davis

    Article • Journal of Engineering Mathematics, July 2017, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  31. Squeeze-film flow between a curved impermeable bearing and a flat porous bed

    Article • Physics of Fluids, February 2017, American Institute of Physics

    Professor Stephen Kenneth Wilson

  32. Flow of a thixotropic or antithixotropic fluid in a slowly varying channel: The weakly advective regime

    Article • Journal of Non-Newtonian Fluid Mechanics, December 2016, Elsevier

    Professor Stephen Kenneth Wilson

  33. Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field

    Article • October 2016, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  34. Fluid-dynamical model for antisurfactants

    Article • April 2016, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  35. Progress in Industrial Mathematics at ECMI 2014

    Article • January 2016, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  36. On the lifetimes of evaporating droplets with related initial and receding contact angles

    Article • Physics of Fluids, December 2015, American Institute of Physics

    Professor Stephen Kenneth Wilson

  37. A rivulet of a power-law fluid with constant width draining down a slowly varying substrate

    Article • Journal of Non-Newtonian Fluid Mechanics, October 2015, Elsevier

    Professor Stephen Kenneth Wilson

  38. Strongly coupled interaction between a ridge of fluid and an inviscid airflow

    Article • Physics of Fluids, July 2015, American Institute of Physics

    Professor Stephen Kenneth Wilson

  39. A rivulet of a power-law fluid with constant contact angle draining down a slowly varying substrate

    Article • Physics of Fluids, May 2015, American Institute of Physics

    Professor Stephen Kenneth Wilson

  40. Closed-form solution of a thermocapillary free-film problem due to Pukhnachev

    Article • European Journal of Applied Mathematics, March 2015, Cambridge University Press

    Professor Stephen Kenneth Wilson

  41. Evaporation of Droplets on Strongly Hydrophobic Substrates

    Article • Langmuir, March 2015, American Chemical Society (ACS)

    Professor Stephen Kenneth Wilson

  42. Deformation of a nearly hemispherical conducting drop due to an electric field: Theory and experiment

    Article • Physics of Fluids, December 2014, American Institute of Physics

    Professor Stephen Kenneth Wilson

  43. A pinned or free-floating rigid plate on a thin viscous film

    Article • Journal of Fluid Mechanics, November 2014, Cambridge University Press

    Professor Stephen Kenneth Wilson

  44. Shallow flows of generalised Newtonian fluids on an inclined plane

    Article • Journal of Engineering Mathematics, November 2014, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  45. Rivulet flow round a horizontal cylinder subject to a uniform surface shear stress

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, September 2014, Oxford University Press (OUP)

    Professor Stephen Kenneth Wilson

  46. The shear-driven Rayleigh problem for generalised Newtonian fluids

    Article • Journal of Non-Newtonian Fluid Mechanics, April 2014, Elsevier

    Professor Stephen Kenneth Wilson

  47. On the lifetimes of evaporating droplets

    Article • Journal of Fluid Mechanics, March 2014, Cambridge University Press

    Professor Stephen Kenneth Wilson

  48. Porous squeeze-film flow

    Article • IMA Journal of Applied Mathematics, November 2013, Oxford University Press (OUP)

    Professor Stephen Kenneth Wilson

  49. Comment on “Increased Evaporation Kinetics of Sessile Droplets by Using Nanoparticles”

    Article • Langmuir, September 2013, American Chemical Society (ACS)

    Professor Stephen Kenneth Wilson

  50. Pinning, de-pinning and re-pinning of a slowly varying rivulet

    Article • European Journal of Mechanics - B/Fluids, September 2013, Elsevier

    Professor Stephen Kenneth Wilson

  51. Thin-film flow in helically wound rectangular channels with small torsion

    Article • Physics of Fluids, August 2013, American Institute of Physics

    Professor Stephen Kenneth Wilson

  52. Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film

    Article • Physics of Fluids, May 2013, American Institute of Physics

    Professor Stephen Kenneth Wilson

  53. Three-dimensional coating and rimming flow: a ring of fluid on a rotating horizontal cylinder

    Article • Journal of Fluid Mechanics, January 2013, Cambridge University Press

    Professor Stephen Kenneth Wilson

  54. Thermoviscous Coating and Rimming Flow

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, October 2012, Oxford University Press (OUP)

    Professor Stephen Kenneth Wilson

  55. The Stokes boundary layer for a thixotropic or antithixotropic fluid

    Article • Journal of Non-Newtonian Fluid Mechanics, October 2012, Elsevier

    Professor Stephen Kenneth Wilson

  56. A thin rivulet or ridge subject to a uniform transverse shear stress at its free surface due to an external airflow

    Article • Physics of Fluids, August 2012, American Institute of Physics

    Professor Stephen Kenneth Wilson

  57. Preface to the special issue on “Recent Developments and New Directions in Thin-Film Flow”

    Article • Journal of Engineering Mathematics, February 2012, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  58. Travelling-Wave Similarity Solutions for an Unsteady Gravity-Driven Dry Patch

    Article • January 2012, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  59. Similarity solutions for unsteady shear-stress-driven flow of Newtonian and power-law fluids: slender rivulets and dry patches

    Article • Journal of Engineering Mathematics, October 2011, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  60. The Stokes boundary layer for a power-law fluid

    Article • Journal of Non-Newtonian Fluid Mechanics, July 2011, Elsevier

    Professor Stephen Kenneth Wilson

  61. Non-isothermal flow of a thin film of fluid with temperature-dependent viscosity on a stationary horizontal cylinder

    Article • Physics of Fluids, June 2011, American Institute of Physics

    Professor Stephen Kenneth Wilson

  62. 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

    Article • Journal of Fluid Mechanics, March 2011, Cambridge University Press

    Professor Stephen Kenneth Wilson

  63. Unsteady gravity-driven slender rivulets of a power-law fluid

    Article • Journal of Non-Newtonian Fluid Mechanics, November 2010, Elsevier

    Professor Stephen Kenneth Wilson

  64. Heat and fluid flow in a scraped-surface heat exchanger containing a fluid with temperature-dependent viscosity

    Article • Journal of Engineering Mathematics, August 2010, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  65. Dynamics of a two-dimensional vapor bubble confined between superheated or subcooled parallel plates

    Article • Physical Review E, April 2010, American Physical Society (APS)

    Professor Stephen Kenneth Wilson

  66. New developments in rain–wind-induced vibrations of cables

    Article • Proceedings of the Institution of Civil Engineers - Structures and Buildings, April 2010, ICE Publishing

    Professor Stephen Kenneth Wilson

  67. On the Effect of an Atmosphere of Nitrogen on the Evaporation of Sessile Droplets of Water

    Article • January 2010, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  68. Numerical simulation of rivulet evolution on a horizontal cable subject to an external aerodynamic field

    Article • Journal of Fluids and Structures, January 2010, Elsevier

    Professor Stephen Kenneth Wilson

  69. Similarity Solutions for Unsteady Rivulets

    Article • January 2010, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  70. Quasi-Steady Spreading of A Thin Ridge of Fluid With Temperature-Dependent Surface Tension on A Heated or Cooled Substrate

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, June 2009, Oxford University Press (OUP)

    Professor Stephen Kenneth Wilson

  71. On the effect of the atmosphere on the evaporation of sessile droplets of water

    Article • Physics of Fluids, June 2009, American Institute of Physics

    Professor Stephen Kenneth Wilson

  72. On the approach to the critical solution in leading order thin-film coating and rimming flow

    Article • Applied Mathematics Letters, June 2009, Elsevier

    Professor Stephen Kenneth Wilson

  73. Evaporation of a thin droplet on a thin substrate with a high thermal resistance

    Article • Physics of Fluids, May 2009, American Institute of Physics

    Professor Stephen Kenneth Wilson

  74. The strong influence of substrate conductivity on droplet evaporation

    Article • Journal of Fluid Mechanics, March 2009, Cambridge University Press

    Professor Stephen Kenneth Wilson

  75. Large-Biot-number non-isothermal flow of a thin film on a stationary or rotating cylinder

    Article • The European Physical Journal Special Topics, January 2009, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  76. Modeling the Kinetics of Enzymic Reactions in Mainly Solid Reaction Mixtures

    Article • Biotechnology Progress, September 2008, Wiley

    Professor Stephen Kenneth Wilson

  77. A mathematical model for the evaporation of a thin sessile liquid droplet: Comparison between experiment and theory

    Article • Colloids and Surfaces A Physicochemical and Engineering Aspects, June 2008, Elsevier

    Professor Stephen Kenneth Wilson

  78. Asymptotic and numerical analysis of a simple model for blade coating

    Article • Journal of Engineering Mathematics, April 2008, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  79. Air-Blown Rivulet Flow of a Perfectly Wetting Fluid on an Inclined Substrate

    Article • January 2008, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  80. The Effect of the Thermal Conductivity of the Substrate on Droplet Evaporation

    Article • January 2008, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  81. A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, December 2007, Oxford University Press (OUP)

    Professor Stephen Kenneth Wilson

  82. A mathematical model of fluid flow in a scraped-surface heat exchanger

    Article • Journal of Engineering Mathematics, February 2007, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  83. Confined growth of a vapour bubble in a capillary tube at initially uniform superheat: Experiments and modelling

    Article • International Journal of Heat and Mass Transfer, November 2006, Elsevier

    Professor Stephen Kenneth Wilson

  84. Shear-driven and pressure-driven flow of a nematic liquid crystal in a slowly varying channel

    Article • Physics of Fluids, February 2006, American Institute of Physics

    Professor Stephen Kenneth Wilson

  85. Progress in Industrial Mathematics at ECMI 2004

    Article • January 2006, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  86. When is it energetically favorable for a rivulet of perfectly wetting fluid to split?

    Article • Physics of Fluids, July 2005, American Institute of Physics

    Professor Stephen Kenneth Wilson

  87. Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface

    Article • Physics of Fluids, January 2005, American Institute of Physics

    Professor Stephen Kenneth Wilson

  88. A rivulet of perfectly wetting fluid draining steadily down a slowly varying substrate

    Article • IMA Journal of Applied Mathematics, December 2004, Oxford University Press (OUP)

    Professor Stephen Kenneth Wilson

  89. Similarity Solutions for Slender Rivulets with Thermocapillarity

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, August 2003, Oxford University Press (OUP)

    Professor Stephen Kenneth Wilson

  90. Strong temperature-dependent-viscosity effects on a rivulet draining down a uniformly heated or cooled slowly varying substrate

    Article • Physics of Fluids, April 2003, American Institute of Physics

    Professor Stephen Kenneth Wilson

  91. A Slender Rivulet of a Power-Law Fluid Driven by Either Gravity or a Constant Shear Stress at the Free Surface

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, August 2002, Oxford University Press (OUP)

    Professor Stephen Kenneth Wilson

  92. On the Critical Solutions in Coating and Rimming Flow on a Uniformly Rotating Horizontal Cylinder

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, August 2002, Oxford University Press (OUP)

    Professor Stephen Kenneth Wilson

  93. On the gravity-driven draining of a rivulet of a viscoplastic material down a slowly varying substrate

    Article • Physics of Fluids, February 2002, American Institute of Physics

    Professor Stephen Kenneth Wilson

  94. Article • Journal of Engineering Mathematics, January 2002, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  95. Article • Journal of Engineering Mathematics, January 2002, Springer Science + Business Media

    Professor Stephen Kenneth Wilson

  96. The linear stability of a drop of fluid during spin coating or subject to a jet of air

    Article • Physics of Fluids, January 2002, American Institute of Physics

    Professor Stephen Kenneth Wilson

  97. Singularité anguleuse d'une ligne de contact en mouvement sur un substrat solide

    Article • Comptes Rendus Physique, January 2002, Elsevier

    Professor Stephen Kenneth Wilson

  98. Thermocapillary effects on a thin viscous rivulet draining steadily down a uniformly heated or cooled slowly varying substrate

    Article • Journal of Fluid Mechanics, August 2001, Cambridge University Press

    Professor Stephen Kenneth Wilson

  99. On a slender dry patch in a liquid film draining under gravity down an inclined plane

    Article • European Journal of Applied Mathematics, June 2001, Cambridge University Press

    Professor Stephen Kenneth Wilson

  100. The dynamics of thin fluid films

    Article • European Journal of Applied Mathematics, June 2001, Cambridge University Press

    Professor Stephen Kenneth Wilson

  101. The linear stability of a ridge of fluid subject to a jet of air

    Article • Physics of Fluids, April 2001, American Institute of Physics

    Professor Stephen Kenneth Wilson

  102. Thin-film flow of a viscoplastic material round a large horizontal stationary or rotating cylinder

    Article • Journal of Fluid Mechanics, March 2001, Cambridge University Press

    Professor Stephen Kenneth Wilson

  103. Spin coating and air-jet blowing of thin viscous drops

    Article • Physics of Fluids, January 1999, American Institute of Physics

    Professor Stephen Kenneth Wilson