Philip Edward Hall

Philip Edward Hall's AcademicInfluence.com Rankings

Philip Edward Hall

Engineering

#6610

World Rank

#7946

Historical Rank

Mechanical Engineering

#626

World Rank

#678

Historical Rank

Applied Physics

#2148

World Rank

#2187

Historical Rank

engineering Degrees

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Engineering

Philip Edward Hall's Degrees

PhD Mechanical Engineering Stanford University
Masters Mechanical Engineering Stanford University

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Philip Edward Hall's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The linear development of Görtler vortices in growing boundary layers (1983) (358)
Taylor—Gortler vortices in fully developed or boundary-layer flows: linear theory (1982) (224)
On strongly nonlinear vortex/wave interactions in boundary-layer transition (1991) (197)
The linear inviscid secondary instability of longitudinal vortex structures in boundary layers (1991) (194)
On the stability of an infinite swept attachment line boundary layer (1984) (184)
Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures (2010) (148)
Görtler vortices in growing boundary layers: The leading edge receptivity problem, linear growth and the nonlinear breakdown stage (1990) (137)
On the receptivity problem for Görtler vortices: vortex motions induced by wall roughness (1991) (128)
An asymptotic investigation of the stationary modes of instability of the boundary layer on a rotating disc (1985) (126)
The linear stability of flat Stokes layers (1978) (124)
On the stability of the unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid (1983) (118)
The fully nonlinear development of Görtler vortices in growing boundary layers (1987) (99)
On the Non-linear Evolution of Görtler Vortices in Non-parallel Boundary Layers (1982) (77)
Unsteady viscous flow in a pipe of slowly varying cross-section (1974) (77)
On the instability of a three-dimensional attachment-line boundary layer: weakly nonlinear theory and a numerical approach (1986) (72)
Three-dimensional numerical modelling of wind-driven circulation in a shallow homogeneous lake (1991) (66)
On the instability of hypersonic flow past a wedge (1990) (65)
The nonlinear interaction of Tollmien–Schlichting waves and Taylor-Görtler vortices in curved channel flows (1987) (62)
The smooth transition to a convective régime in a two-dimensional box (1978) (61)
The stability of unsteady cylinder flows (1975) (61)
The variability of mixing at the continental slope (1990) (59)
Alternating bar instabilities in unsteady channel flows over erodible beds (2004) (58)
The Görtler vortex instability mechanism in three-dimensional boundary layers (1985) (55)
Lower branch equilibria in Couette flow: the emergence of canonical states for arbitrary shear flows (2013) (54)
Nonlinear Tollmien-Schlichting/vortex interaction in boundary layers (1989) (50)
The emergence of localized vortex–wave interaction states in plane Couette flow (2013) (49)
On the görtler vortex instability mechanism at hypersonic speeds (1989) (48)
Centrifugal instability of a Stokes layer: linear theory (1976) (47)
ON THE EFFECTS OF NONPARALLELISM, THREE-DIMENSIONALITY, AND MODE INTERACTION IN NONLINEAR BOUNDARY-LAYER STABILITY. (1984) (44)
The nonlinear development of Görtler vortices in growing boundary layers (1988) (39)
On the instability of boundary layers on heated flat plates (1992) (38)
The stability of the decaying flow in a suddenly blocked channel (1976) (37)
On the instability of hypersonic flow past a flat plate (1993) (35)
The growth of Görtler vortices in compressible boundary layers (1989) (35)
Free-stream coherent structures in parallel boundary-layer flows (2014) (35)
The strong nonlinear interaction of Tollmien–Schlichting waves and Taylor–Görtler vortices in curved channel flow (1991) (34)
The onset of chaos in a class of Navier–Stokes solutions (1999) (34)
Nonlinear oscillations of non-spherical cavitation bubbles in acoustic fields (1980) (33)
The high-Reynolds-number asymptotic development of nonlinear equilibrium states in plane Couette flow (2014) (33)
On the onset of three-dimensionality and time-dependence in Görtler vortices (1989) (32)
Vortex instabilities in three-dimensional boundary layers: the relationship between Görtler and crossflow vortices (1991) (29)
On the nonlinear stability of slowly varying time-dependent viscous flows (1983) (28)
The stability of Poiseuille flow modulated at high frequencies (1975) (28)
Spatial stability of the incompressible corner flow (2005) (28)
The behaviour of Tollmien–Schlichting waves undergoing small-scale localised distortions (2016) (28)
On the interaction of Tollmien-Schlichting waves in axisymmetric supersonic flows (1989) (26)
Canonical exact coherent structures embedded in high Reynolds number flows (2014) (26)
Evolution equations for Taylor vortices in the small-gap limit (1984) (26)
Centrifugal instabilities of circumferential flows in finite cylinders: the wide gap problem (1982) (25)
A detailed comparison of measured and modeled wind‐driven currents in the North Channel of the Irish Sea (2001) (25)
On the Görtler instability in hypersonic flows: Sutherland law fluids and real gas effects (1993) (25)
Bénard convection in a finite box: secondary and imperfect bifurcations (1979) (25)
Comparison of Observed (HF Radar and ADCP Measurements) and Computed Tides in the North Channel of the Irish Sea (2001) (24)
Near-planar TS waves and longitudinal vortices in channel flow - Nonlinear interaction and focussing (1990) (23)
On the instability of Stokes layers at high Reynolds numbers (2003) (23)
A Suggested Mechanism for Nonlinear Wall Roughness Effects on High Reynolds Number Flow Stability (1982) (23)
The receptivity problem for O(1) wavelength Görtler vortices (1994) (23)
The centrifugal instability of a Stokes layer: nonlinear theory (1977) (22)
Effects of Görtler vortices, wall cooling and gas dissociation on the Rayleigh instability in a hypersonic boundary layer (1993) (20)
Centrifugal instabilities in finite containers: a periodic model (1980) (20)
Linear stability of slowly varying unsteady flows in a curved channel (1975) (20)
Wave interactions in a three-dimensional attachment-line boundary layer (1990) (20)
Models of near-bed dynamics and sediment movement at the Iberian margin (2002) (20)
Optimum Suction Distribution for Transition Control (1999) (19)
Streamwise vortices in heated boundary layers (1993) (19)
On the generation of mean flows by the interaction of Gortler vortices and Tollmien-Schlichting waves in curved channel flows (1989) (19)
Concerning the interaction of non-stationary crossflow vortices in a three-dimensional boundary layer (1991) (18)
The excitation of Görtler vortices by free stream coherent structures (2017) (18)
Non-axisymmetric viscous lower-branch modes in axisymmetric supersonic flows (1990) (18)
On the secondary instability of Taylor-Görtler vortices to Tollmien-Schlichting waves in fully developed flows (1986) (18)
MEASUREMENTS OF THE SLOPE CURRENT, TIDAL CHARACTERISTICS AND VARIABILITY WEST OF VESTFJORDEN, NORWAY (1998) (18)
Centrifugal instabilities of circumferential flows in finite cylinders: nonlinear theory (1979) (17)
Taylor-Görtler instabilities of Tollmien-Schlichting waves and other flows governed by the interactive boundary-layer equations (1986) (17)
ON SPATIAL EVOLUTION OF LONG-WAVELENGTH GÖRTLER VORTICES GOVERNED BY A VISCOUS-INVISCID INTERACTION PART 1: THE LINEAR CASE (1994) (16)
Numerical problems associated with coupling hydrodynamic models in shelf edge regions: the surge event of February 1994 (2002) (16)
Vortex–wave interaction arrays: a sustaining mechanism for the log layer? (2018) (15)
On a class of unsteady three-dimensional Navier—Stokes solutions relevant to rotating disc flows: threshold amplitudes and finite-time singularities (1992) (15)
Chaotic flows in pulsating cylindrical tubes: a class of exact Navier–Stokes solutions (2003) (15)
The sensitivity of tidal current profiles in the North Channel of the Irish Sea to the parameterization of momentum diffusion (1998) (15)
The response of the North Channel of the Irish Sea and Clyde Sea to wind forcing (2000) (14)
Asymptotic descriptions of oblique coherent structures in shear flows (2015) (14)
An inter-comparison of tidal solutions computed with a range of unstructured grid models of the Irish and Celtic Sea Regions (2009) (14)
TAYLOR-GORTLER VORTICES IN FULLY DEVELOPED OR BOUNDARY LAYER FLOWS (1982) (14)
Free-stream coherent structures in growing boundary layers: a link to near-wall streaks (2015) (14)
Tidal currents, energy flux and bottom boundary layer thickness in the Clyde Sea and North Channel of the Irish Sea (2004) (13)
The influence of sampling frequency, non-linear interaction, and frictional effects upon the accuracy of the harmonic analysis of tidal simulations (2005) (13)
IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers : proceedings of the IUTAM Symposium held in Manchester, UK, 17-20 July 1995 (1996) (13)
Modelling tidally induced sediment-transport paths over the northwest European shelf: the influence of sea-level reduction (2004) (13)
Localized vortex/Tollmien–Schlichting wave interaction states in plane Poiseuille flow (2016) (12)
Optimum suction distribution for transition control (1996) (12)
A three‐dimensional model of diurnal and semidiurnal tides and tidal mixing in the North Channel of the Irish Sea (2000) (12)
Nonlinear development and secondary instability of large-amplitude Goertler vortices in hypersonic boundary layers (1992) (11)
Crossflow effects on the growth rate of inviscid Görtler vortices in a hypersonic boundary layer (1994) (11)
The inviscid secondary instability of fully nonlinear longitudinal vortex structures in growing boundary layers (1990) (11)
Modelling and measuring the wind forced inflow to the Irish Sea through the North Channel (2002) (10)
On the Effect of Feedback Control on Benard Convection in a Boussinesq Fluid (1996) (10)
Comparison of finite difference and element models of internal tides on the Malin–Hebrides shelf (2005) (10)
On the instability of vortex–wave interaction states (2016) (10)
An instability mechanism for channel flows in the presence of wall roughness (2020) (10)
On the stabilization of the most amplified Görtler vortex on a concave surface by spanwise oscillations (2005) (10)
On the nonlinear interaction of Görtler vortices and Tollmien-Schlichting waves in curved channel flows at finite Reynolds numbers (1988) (10)
Complex eigenvalues for the stability of Couette flow (1983) (9)
Modelling tide–surge interaction effects using finite volume and finite element models of the Irish Sea (2011) (9)
Centrifugal instability of a Stokes layer: subharmonic destabilization of the Taylor vortex mode (1981) (9)
Centrifugal instabilities of circumferential flows in finite cylinders: linear theory (1979) (8)
A phase-equation approach to boundary–layer instability theory: Tollmien-Schlichting waves (1994) (8)
Fluid Motion in a Spinning, Coning Cylinder via Spatial Eigenfunction Expansion. (1987) (8)
Vortex Instabilities in 3D Boundary Layers: The Relationship between Gortler and Crossflow Vortices (1990) (8)
Effect of coastal boundary resolution and mixing upon internal wave generation and propagation in coastal regions (2005) (8)
On the interaction of stationary crossflow vortices and Tollmien-Schlichting waves in the boundary layer on a rotating disc (1990) (8)
On the nonlinear interfacial instability of rotating core-annual flow (1993) (8)
On the nonlinear development of the most unstable Görtler vortex mode (1993) (8)
The influence of an irregular grid upon internal wave propagation (2005) (7)
The effect of wall compliance on the Goertler vortex instability (1991) (7)
Travelling wave states in pipe flow (2016) (7)
A three-dimensional finite-element model of wind effects upon higher harmonics of the internal tide (2007) (7)
Dynamics of the fluid in a spinning coning cylinder (1990) (7)
The stability of two-phase flow over a swept wing (1994) (7)
Poiseuille flow in rough pipes: linear instability induced by vortex–wave interactions (2021) (6)
On the non-parallel instability of sediment-carrying channels of slowly varying width (2005) (6)
Internal tide modelling and the influence of wind effects (2007) (6)
The nonlinear evolution of the inviscid secondary instability of streamwise vortex structures (1995) (6)
Analysis of time-varying wind-induced currents in the North Channel of the Irish Sea, using empirical orthogonal functions and harmonic decomposition (2002) (5)
On the nonlinear stability of the oscillatory viscous flow of an incompressible fluid in a curved pipe (1999) (5)
The relationship between free-stream coherent structures and near-wall streaks at high Reynolds numbers (2017) (5)
Nonlinear Evolution Equations and the Braiding of Weakly Transporting Flows Over Gravel Beds (2006) (5)
Free-stream coherent structures in a planar jet (2018) (5)
Modelling the Response of the North Channel of the Irish Sea to Idealized Time Varying Winds and Boundary Forcing (2001) (5)
Absolute instability of Rayleigh-Bénard convection in a time-periodic shear flow (1997) (5)
Interaction of Gortler vortices and Tollmien-Schlichting waves in curved channel flow (1987) (5)
Vortex–wave interactions: long-wavelength streaks and spatial localization in natural convection (2012) (5)
Stability of the flow in a slowly diverging rectangular duct (2006) (4)
Finite-amplitude convection in the presence of an unsteady shear flow (1995) (4)
Vortex–Wave Interactions/Self‐Sustained Processes in High Prandtl Number Natural Convection in A Vertical Channel with Moving Sidewalls (2012) (4)
The Onset of Chaos in a Class of Exact Navier Stokes Solutions (1998) (4)
Nonlinear exact coherent structures in pipe flow and their instabilities (2019) (4)
Long wavelength streamwise vortices caused by wall curvature or roughness (2021) (4)
On the Control of the Fastest Growing Görtler Vortex (1999) (4)
On the onset of three-dimensionality and time-dependence in the Goertler vortex problem (1987) (4)
Centrifugal/elliptic instabilities in slowly varying channel flows (2020) (4)
The effect of external forcing on the stability of plane Poiseuille flow (1978) (4)
On the instability of the flow in an oscillating tank of fluid (1993) (3)
Distributed vortex-wave interactions: the relation of self-similarity to the attached eddy hypothesis (2021) (3)
The Goertler vortex instability mechanism in three-dimensional boundary layers (1984) (3)
Instability of Time-Periodic Flows (1987) (3)
On the spatial evolution of long-wavelength Goertler vortices governed by a viscous-inviscid interaction (1992) (3)
On the Initial Stages of Vortex Wave Interactions in Highly Curved Boundary Layer Flows (1993) (2)
Nonlinear effects on the receptivity of cross-flow in the swept Hiemenz flow (2014) (2)
On the breakdown of Rayleigh’s criterion for curved shear flows: a destabilization mechanism for a class of inviscidly stable flows (2013) (2)
The centrifugal instability of a Stokes layer: asymmetric disturbances (1981) (2)
A vortex–wave interaction theory describing the effect of boundary forcing on shear flows (2021) (2)
Nonlinear development and secondary instability of Gortler vortices in hypersonic flows (1991) (1)
The evolution of Permo-Triassic fluvial and alluvial systems in the central Iberian basin, central Spain (2005) (1)
Free-stream coherent structures in the unsteady Rayleigh boundary layer (2020) (1)
High Reynolds Number Flows in Rotating and Nutating Cylinders: Spatial Eigenvalue Approach (1992) (1)
Fully Nonlinear Goertler Vortices in Constricted Channel Flows and Their Effect on the Onset of Separation (1992) (1)
On the Interaction of Görtler Vortices and Tollmien-Schlichting Waves in Boundary Layer Flows (1992) (1)
On the roughness instability of growing boundary layers (2021) (1)
Some unsteady viscous flows and their stability (1973) (1)
The nonlinear evolution of modes on unstable stratified shear layers (1993) (1)
Effect of wall compliance on rotating-disc boundary-layer stability (1996) (1)
ICASE NEAR-PLANAR TS WAVES AND LONGITUDINAL VORTICES IN CHANNEL FLOW : NONLINEAR INTERACTION AND FOCUSING (1)
Centre modes in pipe flow (2019) (0)
Proceedings: An instability mechanism relevant to flow in the aorta. (1975) (0)
Group Summary: Asymptotics I (1992) (0)
Vortex-wave interactions/self-sustained processes in shear layers (2011) (0)
Free-stream coherent structures in parallel compressible boundary-layer flows at subsonic and moderate supersonic Mach numbers (2021) (0)
An Approximation to the Eigenvalues of a Linear Stability Problem for High Reynolds Number (1990) (0)
A note on bar instabilities in very wide rivers (2007) (0)
SICASE STREAMWISE VORTICES IN HEATED BOUNDARY LAYERS DTIC (0)
Streamwise vortices in shear flows: Stability of the lower branch states in Couette flow (2010) (0)
Travelling waves in elliptic pipe flow (2021) (0)
Free-stream coherent structures in parallel compressible boundary-layer ﬂows at subsonic Mach numbers (2022) (0)
ICASE Report No . 90-72 ICASE VORTEX INSTABILITIES IN 3 D BOUNDARY LAYERS : THE RELATIONSHIP BETWEEN GORTLER AND CROSSFLOW VORTICES (0)
Instability and Transition in Compressible Boundary Layers (1991) (0)
On the Nonlinear Initial Value Problem for Vortex–Wave Interactions in Shear Flows (2001) (0)
Receptivity problem for O(1) wavelength Goertler vortices (1994) (0)
The effects of nonlinearity on crossflow receptivity (2014) (0)
On the near-wall instability of oblique flow over a wavy wall (2022) (0)
Critical layer structure in transitional Couette flows (2010) (0)
On the Instability of Two-Phase Stagnation Point Flow (1994) (0)
l e A S E THE EFFECT OF WALL COMPLIANCE ON THE GORTLER VORTEX INSTABILITY (2009) (0)
Methodologies for solving Vortex Wave Interaction problems to obtain edge states (2012) (0)
Wavenumber selection for small-wavelength Goertler vortices in curved channel flows (1995) (0)
Nonlinear Equilibrium States in Growing Boundary Layers (2013) (0)
Wave Interaction Theory and LFC (1992) (0)
ICASE Report No . 92-31 ICASE ON THE SPATIAL EVOLUTION OF LONG . WAVELENGTH GORTLER VORTICES GOVERNED BY A VISCOUS-INVISCID INTERACTION PART 1 : THE LINEAR CASE T 4 ELECTE (0)
Nonlinear eects on the receptivity of cross-ow in the swept Hiemenz ow (2015) (0)
Group Summary: Advanced Asymptotics (1990) (0)
Dynamics of a fluid contained in a spinning, coning cylinder (1988) (0)
On the Nonlinear Evolution of Large Wavelength Görtler Vortices (1992) (0)
Abstract Submitted for the DFD10 Meeting of The American Physical Society Critical layer structure in transitional Couette flows HUGH (2012) (0)
On the Spatial Eigenvalue Approach to High Reynolds Number Flow in a Rotating and Nutating Cylinder (1990) (0)
The High Reynolds Number Limit of Nonlinear Equilibrium States in Couette Flow (2013) (0)
On the nonlinear stability of the unsteady, viscous flow of an incompressible fluid in a curved pipe (1995) (0)
The nonlinear evolution of inviscid G rtler vortices in three–dimensional boundary layers (1995) (0)
Effect of curvature modulation on Gortler vortices in boundary layers (2014) (0)
Numerical and asymptotic analysis of Görtler vortices generated by surface roughness (2013) (0)
Transmission coefficient of Tollmien-Schlichting waves undergoing small indentation/hump distortion (2014) (0)
Some Thoeretical Aspects of Boundary Layer Stability Theory (1990) (0)
Vortex-Wave interaction in plane Poiseuille flow (2014) (0)

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Published Works

What Schools Are Affiliated With Philip Edward Hall?

Philip Edward Hall's AcademicInfluence.com Rankings