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## Article

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).
ISSN 1471-2962

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).
ISSN 1070-6631

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.
ISSN 1539-3755

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).
ISSN 1539-3755

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).
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).
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).
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

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).
ISSN 1070-6631

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, Jutta M. and Wilson, Stephen and Duffy, Brian and Sefiane, K.
(2014)
*On the lifetimes of evaporating droplets.*
Journal of Fluid Mechanics, 744 (R2).
pp. 1-12.
ISSN 0022-1120

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

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).
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

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

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

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

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

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.
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).
ISSN 1070-6631

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

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

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 1464-3634

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

Duffy, B.R.
(2003)
*A rivulet of perfectly wetting fluid with temperature-dependent viscosity draining down a uniformly heated or cooled slowly varying substrate.*
Physics of Fluids, 15 (10).
pp. 3236-3239.
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

Parkes, E.J. and Duffy, B.R. and Abbott, P.C.
(2002)
*The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations.*
Physics Letters A, 295 (5-6).
pp. 280-286.
ISSN 0375-9601

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

Duffy, B.R. and Grinfeld, M. and Freitas, P.
(2002)
*Memory driven instability in a diffusion process.*
SIAM Journal on Mathematical Analysis, 33 (5).
pp. 1090-1106.
ISSN 0036-1410

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

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

## Book Section

Corson, Lindsey and Tsakonas, Costas and Duffy, Brian and Mottram, Nigel and Brown, Carl and Wilson, Stephen
(2017)
*Electro-manipulation of droplets for microfluidic applications.*
In:
The European Consortium for Mathematics in Industry.
Mathematics in Industry
.
Springer, pp. 1073-1080.
ISBN 978-3-319-23412-0

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
.
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:
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.
(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

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.
Mathematics in Industry, 8
.
Springer, pp. 610-615.
ISBN 978-3-540-28072-9

Wilson, Stephen and Duffy, Brian and Lee, M.E.M.
(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

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.
Von Karman Institute, pp. 119-126.
ISBN 9782960024371

## 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.

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.

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.

Duffy, B.R.
(2004)
*Thermal effects on rivulets and dry patches on a heated or cooled substrate.*
In: UNSPECIFIED.

Duffy, B.R.
(2004)
*A model of fluid flow in a scraped-surface heat exchanger.*
In: UNSPECIFIED.

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.

**Sun Feb 25 15:33:44 2018 GMT**.