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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
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 | ||||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| 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: |
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| 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: |
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