Professor Philip Hall
Refereed Publications from 1974-current
Dempsey, L. Hall, P. Deguchi, K. and Walton, A. 2015 Vortex wave interactions in channel
flows. Accepted for publication in J. Fluid Mech.
Oscazir, O., Tanveer, S. , Hall, P. and Overman, E. 2015 High Reynolds number coherent
structures in pipe flows. Accepted for publication in J. Fluid Mech.
Thomas, C. Hall. P. & Davies, C. 2015 Nonlinear effects on the receptivity of cross-flow in the
swept Hiemenz flow. J. Fluid Mech., 763, 433-459.
*Deguchi, K. & Hall, P. 2015 Free-stream coherent structures in growing boundary layers: a
link to near-wall streaks. J. Fluid Mech. 778, 451-484.
Deguchi, K. and Hall, P. 2015 Asymptotic descriptions of oblique coherent structures in shear
flows. J. Fluid Mech. 782, 356-367
Thomas, C., Hall, P. and Davies, C. 2015 Nonlinear effects on the receptivity of crossflow
vortices in swept Hiemenz flow. J. Fluid Mech. 763, 433-459.
*Deguchi, K. & 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. & Hall, P. 2014 Canonical exact coherent structures embedded in high Reynolds
number flows. Phil. Trans. Roy. Soc. A372, 1-20.
Deguchi, K. & Hall, P. 2014 Free-stream coherent structures in parallel boundary layer flows.
J. Fluid Mech. 752, 602-625.
Blackburn, H. Hall, P. & Sherwin, S.J. 2013 Lower branch equilibria in Couette flow: the
emergence of canonical states for arbitrary shear flows. J. Fluid Mech. 726, 12-24.
Deguchi, K., Hall, P. & Walton, A. 2013 The emergence of localized vortex-wave interaction
states in plane Couette flow. J. Fluid Mech. 721, 58-85.
Hall, P. 2013 On the breakdown of Rayleigh’s criterion for curved shear flows: a destabilization
mechanism for a class of inviscidly stable flows. J. Fluid Mech. 734, 36-82.
Hall, P. 2012 Vortex-wave interactions/Self-sustained processes in high Prandtl number
natural convection in a channel with moving sidewalls. Studies in Applied Mathematics 129,
1-25.
Hall, P. 2012 Vortex-wave interactions: long wavelength streaks and spatial localization in
natural convection. J. Fluid Mech. 703, 99-110.
*Hall, P. & 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. 2007 A note on bar instabilities in very wide rivers. Int. J. of Computing Science and
Mathematics 1, 147-156.
Galionis, I. & Hall, P. 2006 Instability of flow in a slowly diverging duct. J. Fluid Mech. 555, 4358.
*Hall, P. 2006 Nonlinear evolution equations and the braiding of weakly transporting flows
over gravel beds. Studies in Applied Mathematics 117, 27-69.
Galionis, I. & Hall, P. 2005 The stabilization of the most unstable Görtler vortex by spanwise
oscillations. J. Fluid Mech. 527, 265-283.
Galionis, I. & Hall, P. 2005 Spatial instability of incompressible corner flow. Theor. and Comp.
Fluid Dynamics 19 part 2, 77-113.
Hall, P. 2005 On the non-parallel instability of sediment-carrying channels of slowly varying
width. J. Fluid Mech. 529, 1-32.
Blyth, M.G & Hall, P. 2004 Oscillatory flow near a stagnation point. SIAM J. Appl. Math. 63,
1604-1614.
Hall, P. 2004 Alternating bar instabilities in unsteady channel flows over erodible beds. J. Fluid
Mech. 499, 49-73.
Hall, P. 2003 On the instability of Stokes Layers at high Reynolds numbers. J. Fluid Mech. 482,
1-15.
Blyth, M.G. Hall, P. & Papageorgiou, D. 2003 Chaotic flows in pulsating cylindrical tubes: A
class of exact Navier Stokes solutions. J. Fluid Mech. 481, 187-213.
Hall, P. 2001 On the nonlinear initial value problem for Vortex-Wave interactions in shear
flows. Studies in Applied Mathematics 106, 69-83.
Dando, A. Hall, P. & Papageorgiou, D. 2000 The modulational instability of Taylor vortices in a
curved channel. SIAM J. Appl. Math, 233, 111-143.
Shortis, T.A. & Hall, P. 1999 On the nonlinear stability of the oscillatory viscous flow of an
incompressible fluid in a curved pipe. J. Fluid Mech. 379, 146-163.
Balakumar, P. & Hall, P. 1999 Optimal suction distribution for transition control. Theor. and
Comp. Fluid Dynamics 13, 1-20.
Balakumar, P. & Hall, P. 1999 On the control of the fastest growing Görtler vortex mode. Theor.
Comp. Fluid Dynamics, 13, 21-32.
*Hall, P. & Papageorgiou, D. 1999 The onset of chaos in a class of Navier-Stokes solutions. J.
Fluid Mech. 393, 59-87.
Hewitt, R.E. & Hall, P. 1998 The evolution of finite-amplitude wavetrains in plane channel flow.
Phil. Trans. Roy. Soc. A356, 2413-2446.
Hall, P. & Papageorgiou, D. 1997 On the modulational instability of O(1) waves in supersonic
boundary layers. SIAM J. of Appl. Maths. 57, no.4, 929-958.
Li, H.S. Kelly, R. E. & Hall, P. 1997 Absolute instability of Rayleigh-Bénard convection in a timeperiodic shear flow. Physics of Fluids 9, no.5, 1279-1276.
Blackaby, N.D. Dando, A. & Hall, P. 1997 The nonlinear evolution of inviscid Görtler vortices
in three-dimensional boundary layers. Phil. Trans. Roy. Soc., A355, 975-1016.
Coward, A.V. & Hall, P. 1996 The stability of two-phase flow over a swept wing. J. Fluid Mech.
329, 247-273.
Hall, P. 1996 Finite amplitude convection in the presence of an unsteady shear flow. J. Fluid
Mech. 287, 25-249.
Dando, A, & Hall, P. 1996 Wavenumber selection for small-wavelength Görtler vortices in
curved channel flows. Studies in Applied Mathematics 97, 208-234.
Blackaby, N.D & Hall, P. 1995 The nonlinear evolution of the inviscid secondary instability of
streamwise vortex flow. Phil. Trans. Soc. A352, 483-502.
Hall, P. 1995 A phase equation approach to boundary layer transition: Tollmien-Schlichting
waves. J. Fluid Mech. 304, 185-212.
Choudhary, M., Hall, P. & Street, C. 1994 On the spatial evolution of long wavelength Görtler
vortices governed by a viscous-inviscid interaction: Part 1 the linear case. QJMAM, 47, 207230.
Hall, P, 1994 On the instability of the flow in an oscillating fluid tank. J. Fluid Mech., 268, 315332.
Hall, P. & Kelly, R. E. 1995 On the effect of a shear flow on the planform of thermal convection
in a fluid of variable viscosity. Physical Review E. 52, 3687-3696.
Fu, Y., & Hall, P. 1994 Crossflow effects on the instability of hypersonic boundary layers. J.
Fluid Mech. 276, 343-367.
Hall, P. 1994 On the initial stages of vortex-Rayleigh wave interactions in highly curved
boundary layers. Mathematika 41, 40-67.
*Fu, Y. Hall, P. & Blackaby, N.D. 1993 On the Görtler instability in hypersonic flows: Sutherland
Law fluids and real gas effects. Phil. Trans. Roy. Soc. A342, 325-377.
Bassom, A.P. & Hall, P. 1993 The receptivity problem for O(1) wavelength Görtler vortices.
Proc. Roy. Soc. A446, 499-516.
Blackaby, N.D. Cowley, S.J. & Hall, P. 1993 On the instability of hypersonic flow past a flat
plate. J. Fluid Mech. 247, 369-416.
Hall, P. & Morris, H. 1993 On the instability of the boundary layer on a heated flat plate. J.
Fluid Mech. 245, 367-400.
Denier, J. & Hall, P. 1993 On the nonlinear development of the fastest growing Görtler vortex
mode. J. Fluid Mech. 247, 1-16.
Coward, A. & Hall, P. 1993 On the nonlinear interfacial instability of core- annular flow. Theor.
and Comp. Fluids 5, 269-289.
Hall, P. 1993 Streamwise vortices in heated boundary layers. J. Fluid Mech., 252, 301-324.
Denier, J.P. & Hall, P. 1992 Nonlinear short wavelength Taylor vortices. Euro. J. Mech. B.
Fluids 10, 277-282.
Hall, P. Balakumar, P & Papageorgiou D. 1992 On a class of unsteady three-dimensional
Navier-Stokes solutions relevant to rotating disc flows: Threshold amplitudes and finite time
singularities. J. Fluid Mech. 238, 297-323.
Hall, P. & Gerber, N. 1992 On the high Reynolds number flow in a rotating cylinder: a spatial
eigenvalue approach. AIAA. J. 30, 423-430.
Fu, Y. & Hall, P. 1992 Nonlinear development and secondary instability of large amplitude
Görtler vortices in hypersonic boundary layers. Euro. J. Mech. B. Fluids 11, 465-510.
Fu, Y. and Hall, P. 1992 Effects of Görtler vortices, wall cooling, gas dissociation on the Rayleigh
instability in a hypersonic boundary layer. J. Fluid Mech. 247, 503-525.
*Hall, P. & Smith, F.T. 1991 On strongly nonlinear vortex/wave interactions in boundary-layer
transition. J. Fluid Mech. 227, 641-666.
Bennett, J. Hall, P. & Smith, F.T. 1991 The strong nonlinear interaction of Tollmien-Schlichting
waves and Taylor-Görtler vortices in curved channel flow. J. Fluid Mech. 223, 475-495.
Bassom, A.P. & Hall, P. 1991 Concerning the interaction of non-stationary cross-flow vortices
in a three-dimensional boundary layer. QJMAM 44, 147-172.
Bassom, A. P. & Hall, P. 1991 Vortex instabilities in three-dimensional boundary layers: the
relationship between Görtler and crossflow vortices. J. Fluid Mech. 232, 647-680.
*Denier, J. Hall, P. & Seddougui, S. 1991 On the receptivity problem for Görtler vortices: vortex
motions induced by wall roughness. Phil. Trans. Roy. Soc. A335, 51-85.
Fu, Y. & Hall, P. 1991 Nonlinear development and secondary instability of large amplitude
Görtler vortices in hypersonic boundary layers. Euro. J. Mech. B. Fluids 10, 282-288.
Denier, J. & Hall, P. 1991 The effect of wall compliance on the Görtler vortex mode. Phys.
Fluids A3, 8-15.
Balakumar, P. Hall, P. & Malik, M. 1991 On the receptivity and non-parallel stability of
travelling distances in rotating disk flows. Theor. Comp. Fluid Dynamics 3, 125-141.
*Hall, P. & Horseman, N.J. 1991 The linear inviscid secondary instability of longitudinal vortex
structures in boundary layers. J. Fluid Mech. 232, 357-375.
Cowley, S.J. & Hall, P. 1990 On the instability of hypersonic flow past a wedge. J. Fluid, Mech.
214, 17-42.
Hall, P. Sedney, R. & Gerber, N. 1990 Dynamics of the fluid in a spinning, coning, cylinder.
AIAA J, 28, 828-835.
Duck, P. & Hall, P. 1990 Non-axisymmetric viscous lower branch modes in axisymmetric
supersonic flow. J. Fluid Mech. 213, 191-201.
Bassom, A.P, & Hall, P. 1990 On the interaction of stationary crossflow vortices and TollmienSchlichting waves in the boundary layer on a rotating disc. Proc. Roy. Soc. A430, 25-53.
Hall, P. & Seddougui, S. 1990 Wave interactions in a three-dimensional attachment line
boundary layer. J. Fluid Mech. 217, 367-390.
Hall, P. 1990 Görtler vortices in growing boundary layers: the leading edge receptivity
problem, linear growth and the nonlinear breakdown stage. Mathematika, 37, 151-189.
Duck, P.W. & Hall, P. 1989 On the interaction of Tollmien-Schlichting waves in axisymmetric
supersonic flows. QJMAM, 42, 115-130.
Hall, P. & Smith F.T. 1989 Nonlinear Tollmien-Schlichting/vortex interaction in boundary
layers. Euro. J. Mech. B/Fluids 8, 179-205.
Hall, P. & Malik, M. 1989 Görtler vortices in compressible boundary layers. J. Eng. Math. 23,
239-251.
Hall, P. & Seddougui, S. 1989 On the onset of time dependence and three dimensionality in
the Görtler vortex problem. J. Fluid. Mech. 204, 405-420.
Bassom, A.P. & Hall, P. 1989 On the generation of mean flows by the interaction of Görtler
vortices and Tollmien-Schlichting waves in curved channel flows. Studies in Applied
Mathematics 81, 185-219.
Hall, P. & Fu, Y.B. 1989 The Görtler vortex instability mechanism in hypersonic boundary layers.
Theor. Comp. Fluid Mechanics 3, 125-134.
Bennett, J. & Hall, P. 1988 On the secondary instability of Taylor-Görtler vortices to TollmienSchlichting waves in fully developed flows. J. Fluid Mech. 186, 445-469.
*Hall, P. 1988 The nonlinear development of Görtler vortices in growing boundary layers. J.
Fluid Mech. 193, 243-266.
Hall, P. & Smith, F.T. 1988 The nonlinear interaction of Görtler vortices and TollmienSchlichting waves in curved channel flows. Proc. Roy. Soc. A417, 255-282.
*Hall, P. & Lakin, W.D. 1988 The fully nonlinear development of Görtler vortices in growing
boundary layers. Proc. Roy. Soc. A415, 421-444.
Sedney, R. Hall, P. & Gerber, N. 1988 Dynamics of a fluid contained in a spinning, coning
cylinder. AIAA-88-0609, 1-13.
Daudpota, Q. Hall, P. & Zang, T. 1988 On the nonlinear interaction of Görtler vortices and
Tollmien-Schlichting waves in curved channel flows at finite Reynolds numbers. J. Fluid Mech.
193, 569-595.
Daudpota, Q. Hall, P. & Zang, T. 1987 Interaction of Görtler vortices and Tollmien-Schlichting
waves in curved channel flows. AIAA-878-1205.
Hall, P. & Malik, M. 1986 On the instability of a three-dimensional attachment line boundary
layer: weakly nonlinear theory and a numerical approach. J. Fluid Mech. 163, 257-282.
Hall, P. 1986 An asymptotic investigation of the stationary modes of instability of the
boundary later on a rotating disc. Proc. Roy. Soc. A406, 93-106.
Hall, P. & Bennett, J. 1986 Taylor Görtler instabilities of Tollmien-Schlichting waves and other
flows governed by the interactive boundary layer theory. J. Fluid Mech. 171, 441-457.
Hall, P. 1985 The Görtler vortex instability mechanism in three-dimensional boundary layers.
Proc. Roy. Soc. A399, 135-142.
Hall, P. & Smith, F.T. 1984 On the effects of Non-parallelism, Three Dimensionality and Mode
Interaction in Nonlinear boundary layer stability. Studies in Applied Mathematics, 70, 91-120.
DiPrima, R.C. & Hall, P. 1984 Complex eigenvalues for the stability of Couette flow. Proc. Roy.
Soc. A396, 75-94.
*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 & 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 On the nonlinear stability of slowly varying time-dependent flows. J. Fluid Mech.
126, 357-368.
*Hall, P. 1983 The linear development of Görtler vortices in growing boundary layers. J. Fluid
Mech. 130, 41-58.
Hall, P. 1983 Evolution equations for Taylor vortices in the small gap limit. Physical Review
A29, 2921-2924.
Hall, P. & Smith, F.T. 1982 A suggested mechanism for nonlinear wall roughness effects on
high Reynolds number flow stability. Studies in Applied Mathematics 66, 241-265.
Hall, P. 1982 Centrifugal instabilities in finite containers: the wide gap problem. Proc. Roy. Soc.
A384, 359-379.
*Hall, P. 1982 Taylor-Görtler vortices in fully developed or boundary layer flows: linear theory.
J. Fluid Mech. 124, 475-494.
Hall, P. 1982 On the nonlinear evolution of Görtler vortices in growing boundary layers. J. Inst.
Math. Applications 29, 173-196.
Duck, P. & Hall, P. 1981 Centrifugal instability of the Stokes layer: asymptotic disturbances.
ZAMP 32, 102-106.
Hall, P. 1981 Centrifugal instability of a Stokes layer: subharmonic destabilization of the Taylor
vortex mode. J. Fluid Mech. 105, 523-530.
Hall, P. 1980 Centrifugal instabilities in finite containers: a periodic model. J. Fluid Mech. 99,
575-596
Hall, P. 1980 Centrifugal instabilities in finite containers: nonlinear theory. Proc. Roy. Soc.
A372, 317-356.
*Hall, P. & Seminara, G. 1980 Nonlinear oscillations of non-spherical cavitation bubbles in
acoustic fields. J. Fluid Mech. 101, 423-444.
Blennerhassett, P.J. & Hall, P. 1979 Centrifugal instabilities of circumferential flows in finite
cylinders; linear theory. Proc. Roy. Soc. A365, 191-207.
Hall, P. & Walton, I.C. 1979 Bénard convection in a finite box: secondary and imperfect
bifurcations. J. Fluid Mech. 90, 377-395.
Hall, P. 1978 The linear stability of flat Stokes layers. Proc. Roy. Soc. A359, 151-166.
Hall, P. 1978 The effect of external forcing on the stability of plane Poiseuille flow. Proc. Roy.
Soc. A359, 453-478.
Seminara, G. & Hall, P. 1977 The centrifugal instability of a Stokes layer: nonlinear theory.
Proc. Roy. Soc. A358, 119-126.
*Hall, P. & Walton, I.C. 1977 The smooth transition to a convective regime in a twodimensional box. Proc. Roy. Soc. A358, 199-221.
Hall, P. & Parker, K.H., 1976 The stability of the decaying flow in a suddenly blocked channel.
J. Fluid Mech. 75, 305-314.
*Seminara, G. & Hall, P. 1976 Centrifugal instability of a Stokes layer: linear theory. Proc. Roy.
Soc. A350, 299-316.
*Hall, P. 1975 The stability of unsteady cylinder flows. J. Fluid Mech. 67, 29-63.
Hall, P. 1975 The stability of Poiseuille flow modulated at high frequencies. Proc. Roy. Soc.
A344, 453-464.
Seminara, G. & Hall, P. 1975 Linear stability of slowly varying unsteady flows in a curved
channel. Proc. Roy. Soc. A346, 279-303.
Seminara, G. & Hall, P.1975 An instability mechanism for aortic blood flow. Journal of
Physiology 252, 9-11.
Hall, P. 1974 Unsteady viscous flow in a pipe of slowly varying cross section. J. Fluid Mech. 64,
209-226.