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Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models

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Cimpeanu, Radu (2016) Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models. Journal of Fluid Mechanics, 806 . R1. doi:10.1017/jfm.2016.612

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Official URL: https://doi.org/10.1017/jfm.2016.612

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Abstract

The nonlinear stability of two-fluid Couette flows is studied using a novel evolution equation whose dynamics is validated by direct numerical simulation (DNS). The evolution equation incorporates inertial effects at arbitrary Reynolds numbers through a non-local term arising from the coupling between the two fluid regions, and is valid when one of the layers is thin. The equation predicts asymmetric solutions and exhibits bistability, features that are essential observations in the experiments of Barthelet et al. (J. Fluid Mech., vol. 303, 1995, pp. 23–53). Related low-inertia models have been used in qualitative predictions rather than the direct comparisons carried out here, and ad hoc modifications appear to be necessary in order to predict asymmetry and bistability. Comparisons between model solutions and DNS show excellent agreement at Reynolds numbers of

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Multiphase flow -- Mathematical models, Two-phase flow -- Mathematics, Thin films , Asymptotic expansions, Nonlinear waves -- Mathematical models
Journal or Publication Title: Journal of Fluid Mechanics
Publisher: Cambridge University Press
ISSN: 0022-1120
Official Date: 10 November 2016
Dates:
DateEvent
10 November 2016Published
13 October 2016Available
8 September 2016Accepted
Date of first compliant deposit: 6 January 2021
Volume: 806
Article Number: R1
DOI: 10.1017/jfm.2016.612
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: This article has been published in a revised form in Journal of Fluid Mechanics http://doi.org/10.1017/jfm.2016.612. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © 2016 Cambridge University Press
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: © 2016 Cambridge University Press
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
EP/K041134 [EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/L020564[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
Roth PhD scholarshipImperial College Londonhttp://dx.doi.org/10.13039/501100000761

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