Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models
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 betwe...
| Main Authors: | , , , |
|---|---|
| Format: | Journal article |
| Published: |
Cambridge University Press
2016
|
| _version_ | 1826258076823453696 |
|---|---|
| author | Kalogirou, A Cîmpeanu, R Keaveny, E Papageorgiou, D |
| author_facet | Kalogirou, A Cîmpeanu, R Keaveny, E Papageorgiou, D |
| author_sort | Kalogirou, A |
| collection | OXFORD |
| description | 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 O.10 3 /found in the experiments. Direct comparisons are also made with the available experimental results of Barthelet et al. (J. Fluid Mech., vol. 303, 1995, pp. 23-53) when the thin layer occupies 1=5 of the channel height. Pointwise comparisons of the travelling wave shapes are carried out, and once again the agreement is very good. |
| first_indexed | 2024-03-06T18:28:19Z |
| format | Journal article |
| id | oxford-uuid:08c05680-8129-4025-a229-2c7d0986be32 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:28:19Z |
| publishDate | 2016 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:08c05680-8129-4025-a229-2c7d0986be322022-03-26T09:14:36ZCapturing nonlinear dynamics of two-fluid Couette flows with asymptotic modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:08c05680-8129-4025-a229-2c7d0986be32Symplectic Elements at OxfordCambridge University Press2016Kalogirou, ACîmpeanu, RKeaveny, EPapageorgiou, DThe 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 O.10 3 /found in the experiments. Direct comparisons are also made with the available experimental results of Barthelet et al. (J. Fluid Mech., vol. 303, 1995, pp. 23-53) when the thin layer occupies 1=5 of the channel height. Pointwise comparisons of the travelling wave shapes are carried out, and once again the agreement is very good. |
| spellingShingle | Kalogirou, A Cîmpeanu, R Keaveny, E Papageorgiou, D Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models |
| title | Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models |
| title_full | Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models |
| title_fullStr | Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models |
| title_full_unstemmed | Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models |
| title_short | Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models |
| title_sort | capturing nonlinear dynamics of two fluid couette flows with asymptotic models |
| work_keys_str_mv | AT kalogiroua capturingnonlineardynamicsoftwofluidcouetteflowswithasymptoticmodels AT cimpeanur capturingnonlineardynamicsoftwofluidcouetteflowswithasymptoticmodels AT keavenye capturingnonlineardynamicsoftwofluidcouetteflowswithasymptoticmodels AT papageorgioud capturingnonlineardynamicsoftwofluidcouetteflowswithasymptoticmodels |