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Faculty of Mathematics



  • 2016-present Professor of Fluid Mechanics, Department of Applied Mathematics and Theoretical Physics
  • 2012-2016 Reader in Fluid Mechanics, Department of Applied Mathematics and Theoretical Physics
  • 2001-2012 University Senior Lecturer, Department of Applied Mathematics and Theoretical Physics
  • 1997-present Director of the GK Batchelor Laboratory


Stuart is in charge of DAMTP's GK Batchelor Laboratory, in which physical experiments are undertaken to complement the Department's theoretical interests. A central focus of Stuart's work is therefore experimental, although he is also heavily involved in both numerical and theoretical studies.

Within the Laboratory, Stuart is motivated by the fluid dynamics of the environment in which we live, and how this affected by the earth's rotation and density variations, whether stabilising or destabilising. He is also concerned about industrial problems, including making chemical processes greener and cleaning up our environment.

Recent projects have included

  • Internal gravity waves 
  • Rayleigh-Taylor and Richtmyer-Meshkov instabilities
  • Buoyant plumes
  • Rotating turbulence
  • Stratified turbulence
  • Resuspension
  • Granular flows
  • Decontamination
  • Reactive flows

Stuart also has significant interests in image processing as a technique for extracting high-resolution quantitative information from fluid flows and is author of DigiFlow, a system designed for this purpose.

Selected Publications

  • Dalziel, S.B. 1991 Two-layer hydraulics: a functional approach; J. Fluid Mech. 223, 135-163
  • Dalziel, S.B. 1992 Decay of rotating turbulence: some particle tracking experiments; Appl. Scien. Res. 49, 217-244
  • Rayleigh-Taylor instability: experiments with image analysis; Dyn. Atmos. Oceans, 20 127-153
  • Hacker, J., Linden, P.F. & Dalziel, S.B. 1996 Mixing in lock-release gravity currents; Dyn. Atmos. Oceans 24, 183-195
  • Dalziel, S.B., Hughes, G.O. & Sutherland, B.R. 1998 Synthetic schlieren; Proceedings of the 8th International Symposium on Flow Visualization, ed. G.M. Carlomagno & I. Grant. ISBN 0 9533991 0 9, paper 062
  • Sutherland, B.R., Dalziel, S.B., Hughes, G.O. & Linden, P.F. 1999 Visualisation and Measurement of internal waves by “synthetic schlieren”. Part 1: Vertically oscillating cylinder; J. Fluid Mech. 390, 93-126
  • Dalziel, S.B., Linden, P.F. & Youngs, D.L. 1999 Self-similarity and internal structure of turbulence induced by Rayleigh-Taylor instability; J. Fluid Mech. 399, 1-48
  • Dalziel, S.B., Hughes, G.O. & Sutherland, B.R. 2000 Whole field density measurements by 'synthetic schlieren'; Experiments in Fluids 28, 322-335.
  • Eames, I. & Dalziel, S.B. 2000 Resuspension of dust by the flow around a sphere impacting a wall J. Fluid Mech. 403, 305-328.
  • Ross, A.N., Linden, P.F. & Dalziel, S.B. 2002 A study of three-dimensional gravity currents on a uniform slope; J. Fluid Mech. 453, 239-261
  • CatonP, F., Britter, R.E., Dalziel, S.B. 2003 Dispersion mechanisms in a street canyon. Atmos. Envoiron. 37, 693-702
  • Scase, M.M. & Dalziel, S.B. 2004 Internal wave fields and drag generated by a translating body in a stratified fluid. J. Fluid Mech. 498, 289-313
  • Shin, J.O., Dalziel, S.B. & Linden, P.F. 2004 Gravity currents produced by lock exchange. J. Fluid Mech. 521, 1-34
  • Jacobs, J. & Dalziel, S.B. 2005 Rayleigh-Taylor instability in complex stratifications. J.Fluid Mech. 542, 251-279
  • Munro, R.J. & Dalziel S.B. 2005 Attenuation technique for measuring sediment displacement levels. Expt. Fluids 39, 602-613
  • Davidson, P.A., Staplehurst, P.J. & Dalziel, S.B. 2006 On the evolution of eddies in a rapidly rotating system. J. Fluid Mech. 557, 135-144
  • Scase, M.M., Caulfield, C.P., Dalziel, S.B. & Hunt, J.C.R. 2006 Plumes and jets with time-dependent sources. J. Fluid Mech. 563, 443-461
  • Scase, M.M. & Dalziel, S.B. 2006 Internal wave fields generated by a translating body in a stratified fluid: an experimental comparison. J. Fluid Mech. 564, 305-331.
  • Ross, A.N., Dalziel, S.B. & Linden, P.F. 2006 Gravity currents on a cone. J. Fluid Mech. 565, 227-253
  • Rabe, B., Smeed, D.A., Dalziel, S.B. & Lane-Serff, G.F. 2007 Experimental studies of rotating exchange flow. Accepted by Deep Sea Res. I 54, 269-291
  • Dalziel, S.B., Carr, M., Sveen, K.J. & Davies, P.A. 2007 Simultaneous Synthetic Schlieren and PIV measurements for internal solitary waves. Meas. Sci. Tech. 18, 533-547
  • Staplehurst, P.J., Davidson, P.A. & Dalziel, S.B. 2008 Structure formation in homogeneous freely-decaying, rotating turbulence. J. Fluid Mech. 598, 81-105
  • Hazewinkel, J., Breevoort, P. van, Dalziel, S.B. & Maas 2008 L.R.M. Observations on the wave number spectrum and evolution of an internal wave attractor in a two-dimensional domain. J. Fluid Mech. 598, 81-105
  • Dalziel, S.B., Patterson, M.D., Caulfield, C.P. & Coomaraswamy, I.A. 2008 Mixing efficiency in high aspect-ratio Rayleigh-Taylor experiments. Phys. Fluids 20, 065106. DOI:10.1063/1.2936311
  • Andrews, M.J. & Dalziel, S.B. 2010 Small Atwood number Rayleigh-Taylor experiments. Phil. Trans. Roy. Soc. A 368, 1663-1679. doi:10.1098/ista.2010.007
  • Hazewinkel, J., Maas, L.R.M. & Dalziel, S.B. 2011 Tomographic reconstruction of internal wave patterns in a paraboloid. Exp. Fluids 50, 247-258. DOI: 10.1007/s00348-010-0909-x
  • Lawrie, A.G.W. & Dalziel, S.B. 2011 Turbulent diffusion in tall tubes, part I: models for Rayleigh-Taylor instability. Phys. Fluids 23, 085109. doi:10.1063/1.3614477
  • Dalziel, S.B., Patterson, M.D., Caulfield, C.P. & Le Brun, S. 2011 The structure of low Froude number lee waves over an isolated obstacle. J. Fluid Mech. 689, 3-31. doi:10.1017/jfm.2011.384
  • Bethke, N. & Dalziel, S.B. 2012 Resuspension onset and crater erosion by a vortex ring interacting with a particle layer. Phys. Fluids 24, 063301. doi: 10.1063/1.4716000
  • Lund, H.M. & Dalziel, S.B. 2014. Bursting water balloons. J. Fluid Mech. 756, 771-815. doi:10.1017/jfm.2014.453
  • Davies Wykes, M.S. & Dalziel, S.B. 2014. Efficient mixing in stratified flows: Experimental study of a Rayleigh-Taylor unstable interface with an otherwise stable stratification. J. Fluid Mech. 756, 1027-1057. doi:10.1017/jfm.2014.308
  • Britton, J., Dalziel S.B. & Raston, C.L. 2014 Continuous flow Fischer esterifications harnessing vibrational-coupled thin film fluidics. RSC Advances 5, 1655-1660. doi:10.1039/c4ra11777h
  • Mujal-Colilles, A., Dalziel, S.B., Bateman, A. 2015 Vortex rings impinging on permeable boundaries. Phys. Fluids. 27, 015106. doi:10.1063/1.4906504
  • Landel, J.R., McEvoy, H. & Dalziel, S.B. 2015 Cleaning of viscous drops on a flat inclined surface using gravity-driven film flows. Food an Bioproducts Processing 93, 310-317. doi:10.1016/j.fbp.2014.09.009
  • Olsthoorn, J. & Dalziel, S.B. 2015 Vortex-ring-induced stratified mixing. J. Fluid Mech. 781, 113-126. doi:10.1017/jfm.2015.492
  • Davies Wykes, M.S., Hughes, G.O. & Dalziel, S.B. 2015 On the meaning of mixing efficiency for buoyancy driven mixing in stratified turbulent flows. J. Fluid Mech. 781, 261-275. doi:10.1017/jfm.2015.462
  • Hogg, C.A.R., Dalziel, S.B., Huppert, H.E., Imberger, J. 2015 Gravity currents filling basins: the influence of Reynolds number on entrainment into gravity currents. Physics of Fluids 27. doi:10.1063/1.4930544
  • Landel, J.R., Thomas, A.L., McEvoy, H. & Dalziel, S.B. 2015 Convective mass transfer from a submerged drop in a thin falling film. J. Fluid Mech. 789, 630-668. doi:10.1017/jfm.2015.742
  • 153. Britton, J., Dalziel, S.B. & Raston, C.L. 2016 The synthesis of di-carboxylate esters using continuous flow vortex fluidics. Green Chemistry. doi:10.1039/C5G02494C
  • 154. Aouad, W., Landel, J.R., Dalziel, S.B., Davidson, J.F. & Wilson, D.I. 2016 Particle image velocimetry and modelling of horizontal coherent liquid jets impinging on and draining down a vertical wall. Experimental Thermal and Fluid Science 74, 429-443. doi:10.1016/j.expthermflusci.2015.12.010
  • Leclercq, C., Partridge, J.L., Augier, P., Dalziel, S.B. & Kerswell, R.R. 2016 Using stratification to mitigate end-effects in quasi-Keplerian Taylor-Couette flow. J. Fluid Mech. 791, 608-630. doi:10.1017/jfm.2016.44
  • 156. Palma, S., Ihle, C.F., Tamburrino, A. & Dalziel, S.B. 2015 Particle organisation after viscous sedimentation in tilted containers. Phys. Fluids 28, 073304. doi:10.1063/1.4958722



Three-dimensional advective-diffusive boundary layers in open channels with parallel and inclined walls
MA Etzold, JR Landel, SB Dalziel
– International Journal of Heat and Mass Transfer
Neutron imaging and modelling inclined vortex driven thin films
TE Solheim, F Salvemini, SB Dalziel, CL Raston
– Scientific Reports
The magic carpet: an arbitrary spectrum wave maker for internal waves
TE Dobra, AGW Lawrie, SB Dalziel
– Experiments in Fluids: experimental methods and their applications to fluid flow
The granular Blasius problem
JMF Tsang, SB Dalziel, NM Vriend
– Journal of Fluid Mechanics
A versatile scanning method for volumetric measurements of velocity and density fields
JL Partridge, A Lefauve, SB Dalziel
– Measurement Science and Technology
The structure and origin of confined Holmboe waves
A Lefauve, JL Partridge, Q Zhou, SB Dalziel, CP Caulfield, PF Linden
– Journal of Fluid Mechanics
Interaction between the Blasius boundary layer and a free surface
JMF Tsang, SB Dalziel, NM Vriend
– Journal of Fluid Mechanics
Vortex-ring-induced stratified mixing: mixing model
J Olsthoorn, SB Dalziel
– Journal of Fluid Mechanics
Anticyclonic precession of a plume in a rotating environment
D Frank, JR Landel, SB Dalziel, PF Linden
– Geophysical Research Letters
Turbulent jets with off-source heating
AJ Aspden, N Nikiforakis, JB Bell, SB Dalziel
– Journal of Fluid Mechanics
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Research Group

Environmental and Industrial Fluid Dynamics




01223 337911