Monash University
20190527_Nebauer_Thesis.pdf (11.24 MB)

On the Stability and Transition of Time Periodic Pipe Flow

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posted on 2019-05-29, 05:57 authored by JONATHAN RICHARD ALAN NEBAUER
This computational study investigates the transition to turbulence of fluid in a pipe that is subjected to a sinusoidal oscillation. The problem is solved by separating the flow into a laminar base-flow and a linear infinitesimal perturbation. The energy of the perturbation is followed through time-stepper methods, with growth leading towards turbulence, and decay leading to a laminar state. The analysis demonstrates an exponential increase in transient growth of the perturbation as the flow control parameters are varied, a case normally only associated with separated shear flows. The driving mechanism is isolated to a new linear process involving the coordination of two known inviscid instabilities linked to the structure of the laminar base-flow.


Campus location


Principal supervisor

Hugh Maurice Blackburn

Year of Award


Department, School or Centre

Mechanical and Aerospace Engineering


Doctor of Philosophy

Degree Type



Faculty of Engineering