Open Access Repository
On modelling the transition to turbulence in pipe flow


Full text not available from this repository.
Abstract
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 Type: | Article |
---|---|
Authors/Creators: | Forbes, LK and Brideson, MA |
Keywords: | transition to turbulence, stability analysis, Reiner-Rivlin equations, Poiseuille flow, linearization, circular pipe |
Journal or Publication Title: | ANZIAM Journal |
Publisher: | Australian Mathematics Publ Assoc Inc |
ISSN: | 1446-1811 |
DOI / ID Number: | 10.1017/S1446181117000256 |
Copyright Information: | Copyright 2017 Australian Mathematical Society |
Related URLs: | |
Item Statistics: | View statistics for this item |
Actions (login required)
![]() |
Item Control Page |