DrAndrew Walton
Senior Lecturer
Department of Mathematics - Faculty of Natural Sciences
Orcid identifier0000-0003-0497-4497 (opens in a new tab)
- Senior LecturerDepartment of Mathematics - Faculty of Natural Sciences
- 743, Huxley Building, South Kensington Campus, United Kingdom
RESEARCH
Overview
Flow at high Reynolds number
Boundary layers
Transition to turbulence
Nonlinear stability theory
Vortex-wave interactions
Thread-annular flow
My research concentrates on the study of the linear and nonlinear stablilty of fluid flows, particularly at high Reynolds number, and the conditions under which such flows undergo transition to turbulence. Some of the work is purely analytic - an example being a proof of the non-existence of solution to a set of vortex-wave interaction equations, while on the numerical side there is the development of efficient algorithms for solving the nonlinear systems that arise from the asymptotic modelling. I have a particular interest in the axial flow between concentric (or eccentric) circular cylinders, which has applications to minimally invasive surgery and to oil pipelines.
Flow at high Reynolds number
Boundary layers
Transition to turbulence
Nonlinear stability theory
Vortex-wave interactions
Thread-annular flow
My research concentrates on the study of the linear and nonlinear stablilty of fluid flows, particularly at high Reynolds number, and the conditions under which such flows undergo transition to turbulence. Some of the work is purely analytic - an example being a proof of the non-existence of solution to a set of vortex-wave interaction equations, while on the numerical side there is the development of efficient algorithms for solving the nonlinear systems that arise from the asymptotic modelling. I have a particular interest in the axial flow between concentric (or eccentric) circular cylinders, which has applications to minimally invasive surgery and to oil pipelines.