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On modelling the transition to turbulence in pipe flow
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ORCID: 0000-0002-9135-3594 and Brideson, MA ORCID: 0000-0001-7547-5084 2017
, 'On modelling the transition to turbulence in pipe flow'
, ANZIAM Journal, vol. 59, no. 1
, pp. 1-34
, doi: 10.1017/S1446181117000256.
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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 |
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| Item Statistics: | View statistics for this item |
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