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On modelling the transition to turbulence in pipe flow


Forbes, LK and Brideson, MA, On modelling the transition to turbulence in pipe flow, ANZIAM Journal, 59, (1) pp. 1-34. ISSN 1446-1811 (2017) [Refereed Article]

Copyright Statement

Copyright 2017 Australian Mathematical Society

DOI: doi:10.1017/S1446181117000256


As a possible model for fluid turbulence, a Reiner–Rivlin-type equation is used to study Poiseuille–Couette flow of a viscous fluid in a rotating cylindrical pipe. The equations of motion are derived in cylindrical coordinates, and small-amplitude perturbations are considered in full generality, involving all three velocity components. A new matrix-based numerical technique is proposed for the linearized problem, from which the stability is determined using a generalized eigenvalue approach. New results are obtained in this cylindrical geometry, which confirm and generalize the predictions of previous recent studies. A possible mechanism for the transition to turbulent flow is discussed.

Item Details

Item Type:Refereed Article
Keywords:transition to turbulence, stability analysis, Reiner-Rivlin equations, Poiseuille flow, linearization, circular pipe
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
UTAS Author:Brideson, MA (Dr Michael Brideson)
ID Code:119693
Year Published:2017
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2017-08-03
Last Modified:2018-04-27

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