Dr Chris Davies
Reader
 Email:
 daviesc9@cardiff.ac.uk
 Telephone:
 +44 (0)29 2087 5531
 Location:
 M/2.46, 2nd Floor, Mathematics Institute, Senghennydd Road, Cardiff, CF24 4AG
I am an active scientific researcher with interests in theoretical and computational fluid dynamics.
My main research interests are in:
 Hydrodynamic stability
 Vorticitybased numerical methods and formulations
 Fluidstructure interaction
 Rotating and oscillatory boundary layers
Much of my time is spent conducting and supervising research. But I also very much enjoy teaching applied mathematics, and communicating my enthusiasm for the subject to undergraduate students!
Education
 BSc (Hons) Applied Mathematics, University of Warwick
 PGCE Secondary School Mathematics Teaching, University of Birmingham
 MSc Mathematics, University of Warwick
 PhD Engineering, University of Warwick
Previous experience
 Intermediate Treatment Worker, Coventry & Warwickshire Social Services Departments
 Mathematics Tutor, Fircroft College of Adult Education, Birmingham
 Research Associate, School of Engineering, University of Warwick
 Research Fellow / Senior Lecturer, School of Mathematical and Information Sciences, Coventry University
2019
 Thomas, C. and Davies, C. 2019. Global linear instability of rotatingcone boundary layers in a quiescent medium. Physical Review Fluids 4, article number: 43902. (10.1103/PhysRevFluids.4.043902)
2018
 Thomas, C. and Davies, C. 2018. On the impulse response and global instability development of the infinite rotatingdisc boundary layer. Journal of Fluid Mechanics 857, pp. 239269. (10.1017/jfm.2018.748)
 Davies, C. and Thomas, C. 2018. Disturbance evolution in rotating boundary layers. Presented at: 21st Australasian Fluid Mechanics Conference, Adelaide, SA, Australia, 1013 December 2018 Presented at Lau, T. C. W. and Kelso, R. M. eds.Proceedings of the 21st Australasian Fluid Mechanics Conference. Australasian Fluid Mechanics Society pp. .
2017
 Davies, C. and Thomas, C. 2017. Global stability behaviour for the BEK family of rotating boundary layers. Theoretical and computational fluid dynamics 31(56), pp. 519536. (10.1007/s0016201604069)
2016
 Davies, C., Thomas, C. and Ramage, A. 2016. Impulsively excited disturbances in nonuniform boundary layers. Presented at: 20th Australasian Fluid Mechanics Conference, University of Western Australia, Perth, Australia, December 2016Proceedings of the 20th Australasian Fluid Mechanics Conference. Australasian Fluid Mechanics Society
2015
 Davies, C.et al. 2015. The linear impulse response for disturbances in an oscillatory Stokes layer. Procedia IUTAM 14, pp. 381384. (10.1016/j.piutam.2015.03.064)
 Thomas, C.et al. 2015. The linear stability of a Stokes layer subjected to high frequency perturbations. Journal of Fluid Mechanics 764, pp. 193218. (10.1017/jfm.2014.710)
 Thomas, C., Hall, P. and Davies, C. 2015. Nonlinear effects on the receptivity of crossflow in the swept Hiemenz flow. Journal of Fluid Mechanics 763, pp. 433459. (10.1017/jfm.2014.688)
2014
 Thomas, C.et al. 2014. Evolution of disturbance wavepackets in an oscillatory Stokes layer. Journal of Fluid Mechanics 752(Aug), pp. 543571. (10.1017/jfm.2014.291)
2013
 Thomas, C. and Davies, C. 2013. Global stability of the rotatingdisc boundary layer with an axial magnetic field. Journal of Fluid Mechanics 724, pp. 519526. (10.1017/jfm.2013.162)
2012
 DuqueDaza, C.et al. 2012. Modelling turbulent skinfriction control using linearized NavierStokes equations. Journal of Fluid Mechanics 702, pp. 403414. (10.1017/jfm.2012.189)
2011
 Thomas, C.et al. 2011. The linear stability of oscillatory Poiseuille flow in channels and pipes. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 467(2133), pp. 26432662. (10.1098/rspa.2010.0468)
 Togneri, M. and Davies, C. 2011. A high order finitedifference solver for investigation of disturbance development in turbulent boundary layers. Computers & Fluids 46(1), pp. 472478. (10.1016/j.compfluid.2010.12.008)
2010
 Thomas, C., Bassom, A. P. and Davies, C. 2010. The linear stability of a Stokes layer with an imposed axial magnetic field. Journal of Fluid Mechanics 662, pp. 320328. (10.1017/S0022112010004210)
 Davies, C. and Thomas, C. 2010. Disturbance evolution in rotatingdisk boundary layers: competition between absolute instability and global stability. Presented at: 7th IUTAM Symposium on LaminarTurbulent Transition, Stockholm, Sweden, 2326 June 2009 Presented at Schlatter, P. and Henningson, D. S. eds.Seventh IUTAM Symposium on LaminarTurbulent Transition: Proceedings of the Seventh IUTAM Symposium on LaminarTurbulent Transition, Stockholm, Sweden, 2009. IUTAM Bookseries Vol. 18. London: Springer pp. 135140., (10.1007/9789048137237_20)
 Thomas, C.et al. 2010. Direct numerical simulations of small disturbances in the classical Stokes layer.. Journal of Engineering Mathematics 68(34), pp. 327338. (10.1007/s1066501093810)
 Thomas, C. and Davies, C. 2010. The effects of mass transfer on the global stability of the rotatingdisk boundary layer. Journal of Fluid Mechanics 663, pp. 401433. (10.1017/S0022112010003563)
2009
 Sen, P. K.et al. 2009. A wavedriver theory for vortical waves propagating across junctions with application to those between rigid and compliant walls. Journal of Fluid Mechanics 625, pp. 146. (10.1017/S0022112008005545)
2007
 Davies, C., Thomas, C. and Carpenter, P. W. 2007. Global stability of the rotatingdisk boundary layer. Journal of Engineering Mathematics 57(3), pp. 219236. (10.1007/s1066500691128)
 Carpenter, P. W.et al. 2007. A deterministic model for the sublayer streaks in turbulent boundary layers for application to flow control. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 365(1859), pp. 24192441. (10.1098/rsta.2007.2016)
 Lockerby, D. A., Carpenter, P. W. and Davies, C. 2007. Is Helmholtz resonance a problem for microjet actuators?. Flow, Turbulence and Combustion 78(34), pp. 205222. (10.1007/s1049400690560)
 Kudar, K. L., Carpenter, P. W. and Davies, C. 2007. An investigation into the evolution of sublayer streaks in two and threedimensional turbulent boundary layers. Presented at: 11th EUROMECH European Turbulence Conference, Porto, Portugal, 2528 June 2007 Presented at Palma, J. M. L. M. and Silva Lopes, A. eds.Advances in Turbulence XI: Proceedings of the 11th EUROMECH European Turbulence Conference, June 2528, 2007, Porto, Portugal. Springer Proceedings in Physics Vol. 117. Dordrecht: Springer pp. 9496.
2006
 Sen, P. K.et al. 2006. A wavedriver theory for vortical waves propagating across junctions between rigid and compliant walls. Presented at: 6th IUTAM Symposium on LaminarTurbulent Transition, Bangalore, India, 2004 Presented at Govindarajan, R. ed.Sixth IUTAM Symposium on LaminarTurbulent Transition: Proceedings of the Sixth IUTAM Symposium on LaminarTurbulent Transition, Bangalore, India, 2004. Fluid Mechanics and Its Applications Vol. 78. Dordrecht: Springer pp. 195200.
 Davies, C. 2006. Computational studies of boundarylayer disturbance development. Presented at: IUTAM Symposium on One Hundred Years of Boundary Layer Research, Göttingen, Germany, 1214 August 2004 Presented at Meier, G. E. A., Screenivasan, K. R. and Heinemann, H. eds.IUTAM Symposium on One Hundred Years of Boundary Layer Research: Proceedings of the IUTAM Symposium held at DLRGöttingen, Germany, August 1214, 2004. Solid Mechanics and Its Applications Vol. 129. Dordrecht: Springer pp. 325334.
 Kudar, K., Carpenter, P. W. and Davies, C. 2006. Klebanoff modes in swept boundary layers. Presented at: 6th IUTAM Symposium on LaminarTurbulent Transition, Bangalore, India, 2004 Presented at Govindarajan, R. ed.Sixth IUTAM Symposium on LaminarTurbulent Transition: Proceedings of the Sixth IUTAM Symposium on LaminarTurbulent Transition, Bangalore, India, 2004. Fluid Mechanics and Its Applications Vol. 78. Dordrecht: Springer pp. 167172.
 Davies, C.et al. 2006. Disturbance development in boundary layers over compliant surfaces. Presented at: 6th IUTAM Symposium on LaminarTurbulent Transition, Bangalore, India, 2004 Presented at Govindarajan, R. ed.Sixth IUTAM Symposium on LaminarTurbulent Transition: Proceedings of the Sixth IUTAM Symposium on LaminarTurbulent Transition, Bangalore, India, 2004. Fluid Mechanics and Its Applications Vol. 78. Dordrecht: Springer pp. 225230.
2005
 Davies, C. 2005. Numerical simulation of boundarylayer disturbance evolution. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 363(1830), pp. 11091118. (10.1098/rsta.2005.1553)
 Lockerby, D. A., Carpenter, P. W. and Davies, C. 2005. Control of sublayer streaks using microjet actuators. AIAA Journal 43(9), pp. 18781886.
2003
 Bowles, R. I., Davies, C. and Smith, F. T. 2003. On the spiking stages in deep transition and unsteady separation. Journal of Engineering Mathematics 45(3/4), pp. 227245. (10.1023/A:1022677807035)
 Davies, C. and Carpenter, P. W. 2003. Global behaviour corresponding to the absolute instability of the rotatingdisc boundary layer. Journal of fluid mechanics 486, pp. 287329. (10.1017/S0022112003004701)
 Davies, C. 2003. Convective and absolute instabilities of flow over compliant walls. Presented at: IUTAM Symposium on Flow Past Highly Compliant Boundaries and in Collapsible Tubes, Warwick, UK, 2630 March 2001 Presented at Carpenter, P. W. and Pedley, T. J. eds.Flow Past Highly Compliant Boundaries and in Collapsible Tubes: IUTAM Symposium held at the University of Warwick, Coventry, United Kingdom, 2630 March 2001. Fluid Mechanics and its Applications Vol. 72. Dordrecht: Kluwer Academic Publishers pp. 6993.
2002
 Carpenter, P. W., Lockerby, D. A. and Davies, C. 2002. Numerical simulation of the interaction of microactuators and boundary layers. AIAA Journal 40(1), pp. 6773.
2001
 Davies, C. and Carpenter, P. W. 2001. A novel velocityvorticity formulation of the NavierStokes equations with applications to boundary layer disturbance evolution. Journal of computational physics 172(1), pp. 119165. (10.1006/jcph.2001.6817)
 Carpenter, P. W., Lucey, A. D. and Davies, C. 2001. Progress on the use of compliant walls for laminarflow control. Journal of Aircraft 38(3), pp. 504512.
I teach the following modules:
 MA3301 Applied Nonlinear Systems
 MA0235 Elementary Fluid Dynamics
 MA4003 Theoretical Fluid Dynamics
I also have the following teaching related administrative responsibilities:
 Cardiff MAGIC coordinator
 Year 4 tutor
Research achievements
One of the main achievements of my research to date has been the demonstration that, at least in theory, compliant surfaces may be designed so as to delay the transition between laminar and turbulent flow in a boundary layer to indefinitely large Reynolds numbers.
Another significant achievement was the derivation of a new velocityvorticity formulation of the NavierStokes equations. This new formulation has proved to be particularly suitable for simulating the evolution and control of threedimensional disturbances in boundary layers.
I have also shown that the absolute instability that is found in a family of rotating boundary layers does not give rise to a global form of linear instabilty in anything like the manner that was predicted by other researchers. The connection between the local and global behaviour has turned out to be far more subtle and interesting than had been anticipated.
Most recently, along with my research collaborators, I have discovered a completely unexpected familytree structure in the spatialtemporal evolution of disturbances that are excited in oscillatory boundary layers.
Research group
Applied and Computational Mathematics Research Group
Research grants
European Commission
 Aeromems : An investigation into the viability of MEMS technology for boundarylayer control on aircraft; 140,000 ECU, 19982000; Collaboration with Prof. Peter Carpenter, University of Warwick
Engineering and Physical Sciences Research Council
 Nearwall flow structures in 3D turbulent boundary layers; £330,000, 20052008; Collaboration with Prof. Peter Carpenter, University of Warwick; Two separate grants, one held at the University of Warwick and the other at Cardiff University
 Novel passive techniques for reducing skinfriction drag; £186,000, 20072008; Collaboration with Prof. Peter Carpenter, University of Warwick
 Numerical simulation of transitional boundarylayer flows; £5000, 20052006
 Investigation of alternative dragreduction strategies in turbulent boundary layers using wall forcing; £377,000, 20092012; Collaboration with Prof. Duncan Lockerby and others from the University of Warwick

UK Fluids Network, Special Interest Group for Boundary Layers in Complex Rotating Systems; £12,000, 20162019; Coleader with Prof. Stephen Garrett, University of Leicester

Bridging the Gaps; £47,000, 20122013; Coorganiser with colleagues from Cardiff Schools of Engineering, Computer Science, Psychology & Business School; Grant to promote interdisciplinary aerospace research
Australian Research Council
 The stability of unsteady flows in channels and pipes; $255,000, 20082010; Collaboration with Prof Andrew Bassom, University of Western Australia and Dr Peter Blennerhassett, University of New South Wales
Royal Society
 IndiaUK Science Networks; £4000, 2004