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Philip Hall

Professor

1981 …2019
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Biography

Prof Phil Hall is the Head of the School of Mathematical Sciences. His main research area is Applied Mathematics, in particular nonlinear hydrodynamic stability theory, computational fluid dynamics, boundary layer control, convection, lubrication theory, chaotic fluid motion, geomorphology of rivers, coherent structures in high Reynolds number flows.

A list on important publications include:
*Deguchi, K. and Hall, P. 2014 The high-Reynolds-number asymptotic development of nonlinear equilibrium states in plane Couette flow. J. Fluid Mech. 750, 99-112.
*Deguchi, K. and Hall, P. 2014 Canonical exact coherent structures embedded in high Reynolds number flows. Phil. Trans. Roy. Soc. A372, 1-20.
*Deguchi, K. and Hall, P. 2014b Free-stream coherent structures in growing boundary layers: a link to near-wall streaks. J. Fluid Mech. 778, 451-484.
*Hall, P. and Sherwin, S. 2010 Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures. J. Fluid Mech. 661, 178-205.
*Hall, P. 2006 Nonlinear evolution equations and the braiding of weakly transporting flows over gravel beds. Studies in Applied Mathematics 117, 27-69.
*Hall, P. and Papageorgiou, D. 1999 The onset of chaos in a class of Navier-Stokes solutions. J. Fluid Mech. 393, 59-87.
*Fu, Y. Hall, P. and Blackaby, N.D. 1993 On the Gortler instability in hypersonic flows: Sutherland Law fluids and real gas effects. Phil. Trans. Roy. Soc. A342, 325-377.
*Hall, P. and Smith, F.T. 1991 On strongly nonlinear vortex/wave interactions in boundary-layer transition. J. Fluid Mech. 227, 641-666.
*Denier, J. Hall, P. and Seddougui, S. 1991 On the receptivity problem for Gortler vortices: vortex motions induced by wall roughness. Phil. Trans. Roy. Soc. A335, 51-85.
*Hall, P. and Horseman, N.J. 1991 The linear inviscid secondary instability of longitudinal vortex structures in boundary layers. J. Fluid Mech. 232, 357-375.
*Hall, P. 1988 The nonlinear development of Gortler vortices in growing boundary layers. J. Fluid Mech. 193, 243-266.
*Hall, P. and Lakin, W.D. 1988 The fully nonlinear development of Gortler vortices in growing boundary layers. Proc. Roy. Soc. A415, 421-444.
*Hall, P. 1984 On the stability of the unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid. J. Fluid Mech. 146, 347-367.
*Hall, P. Malik, M and Poll, D.I.A. 1984 On the stability of an infinite swept attachment line boundary layer. Proc. Roy. Soc. A395, 229-245.
*Hall, P. 1983 The linear development of Gortler vortices in growing boundary layers. J. Fluid Mech. 130, 41-58.
*Hall, P. 1982 Taylor-Gortler vortices in fully developed or boundary layer flows: linear theory. J. Fluid Mech. 124, 475-494.
*Hall, P. and Seminara, G. 1980 Nonlinear oscillations of non-spherical cavitation bubbles in acoustic fields. J. Fluid Mech. 101, 423-444.
*Hall, P. and Walton, I.C. 1977 The smooth transition to a convective regime in a two-dimensional box. Proc. Roy. Soc. A358, 199-221.
*Seminara, G. and Hall, P. 1976 Centrifugal instability of a Stokes layer: asymmetric disturbances. Vol. 32, No. 1, 1981, p. 102-106.

Keywords

  • Geomorphology
  • Turbulence
  • nonlinear hydrodynamic stability theory
  • computational fluid dynamics
  • boundary layer control
  • convection
  • lubrication theory
  • chaotic fluid motion
  • high Reynolds number flows

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Projects 2017 2019

Application of exact coherent structures to transition and turbulence

Hall, P., Blackburn, H. M. & Sherwin, S.

Australian Research Council (ARC), Monash University, Imperial College London

1/06/17 → 31/12/19

Project: Research

Research Output 1981 2018

Free-stream coherent structures in a planar jet

Deguchi, K. & Hall, P., 25 Feb 2018, In : Journal of Fluid Mechanics. 837, p. 916-930 15 p.

Research output: Contribution to journal › Article › Research › peer-review

Open Access
File

The excitation of Görtler vortices by free stream coherent structures

Dempsey, L. J., Hall, P. & Deguchi, K., 10 Sep 2017, In : Journal of Fluid Mechanics. 826, p. 60-96 37 p.

Research output: Contribution to journal › Article › Research › peer-review

The relationship between free-stream coherent structures and near-wall streaks at high Reynolds numbers

Deguchi, K. & Hall, P., 13 Mar 2017, In : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 375, 2089, 16 p., 20160078.

Research output: Contribution to journal › Article › Research › peer-review

Localized vortex/Tollmien-Schlichting wave interaction states in plane Poiseuille flow

Dempsey, L. J., Deguchi, K., Hall, P. & Walton, A. G., 15 Feb 2016, In : Journal of Fluid Mechanics. 791, p. 97-121 25 p.

Research output: Contribution to journal › Article › Research › peer-review

On the instability of vortex-wave interaction states

Deguchi, K. & Hall, P., 10 Sep 2016, In : Journal of Fluid Mechanics. 802, p. 634-666 33 p.

Research output: Contribution to journal › Article › Research › peer-review