Dr Andrew G Walton

• Room No : Huxley 539
• Tel. No. : +44 171 594 8514
• Email : a.walton at ic.ac.uk

Research Interests

• General Research interests : Theoretical Fluid Mechanics
• Particular Research Interests : Flow at high Reynolds number, boundary layers, transition to turbulence, nonlinear stability theory, vortex-wave interactions

Some Recent Publications

• Walton, A. G. 'Strongly nonlinear vortex-TS-wave interactions in the developing flow through a circular pipe'. J. Fluid Mech. 319 (1996), pp. 77-107.
• Walton, A. G. 'On the non-existence of periodic neutral-wave solutions to a complex-valued periodic differential equation'. Mathematika 43 (1996), pp. 371-381.
• Walton, A. G. & Smith, F. T. 'Concerning 3D flow past a tall building on flat ground'. Q. Jl Mech. appl. Math., 50, Pt. 1 (1997), pp. 97-128.
• Smith, F. T. & Walton, A. G. 'Flow past a two- or three-dimensional steep-edged roughness'. Proc. R. Soc. Lond. A454 (1998), pp. 31-69.
• Walton, A. G. & Patel, R. A. 'On the neutral stability of spanwise-periodic boundary-layer and triple-deck flows.' Q. Jl Mech. appl. Math., 51, Pt. 2 (1998), pp. 311-328.
• Walton, A. G. & Patel, R. A. 'Singularity formation in the strongly nonlinear wide-vortex/Tollmien-Schlichting-wave interaction equations.' J. Fluid Mech. 400 (1999), pp. 265-293.
• Walton, A. G. 'The existence of neutral Rayleigh waves in the Hagen-Poiseuille flow through a pipe of circular cross-section.' Studies in Applied Mathematics 106 (2001), pp. 315-335.
• Walton, A. G. 'The temporal evolution of neutral modes in the impulsively-started flow through a circular pipe and their connection to the nonlinear stability of Hagen-Poiseuille flow' J. Fluid Mech. 457 (2002), pp. 339-376 .
• Walton, A. G. 'The nonlinear instability of thread-annular flow at high Reynolds number' J. Fluid Mech. 477 (2003), pp. 227-257.
• Walton, A. G. 'Stability of circular Poiseuille-Couette flow to axisymmetric disturbances' J. Fluid Mech. 500 (2004), pp. 169-210.
• Walton, A. G.'The stability of nonlinear neutral modes in Hagen-Poiseuille flow' Proc. R. Soc. A461 (2005), pp. 813-824.
• Walton, A. G. 'The linear and nonlinear stability of thread-annular flow' Phil. Trans. R. Soc. 363 (2005), pp. 1223-1233.