Imperial College London
Portrait Picture

Radu Cimpeanu

Faculty of Natural Sciences, Department of Mathematics

Honorary Lecturer
 
 
 
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Contact

 

radu.cimpeanu11 CV

 
 
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Location

 

742Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Kalogirou:2016:10.1017/jfm.2016.612,
author = {Kalogirou, A and Cîmpeanu, R and Keaveny, EE and Papageorgiou, DT},
doi = {10.1017/jfm.2016.612},
journal = {Journal of Fluid Mechanics},
pages = {R1--R13},
title = {Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models},
url = {http://dx.doi.org/10.1017/jfm.2016.612},
volume = {806},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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(103)O(103) 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 1/51/5 of the channel height. Pointwise comparisons of the travelling wave shapes are carried out, and once again the agreement is very good.
AU  - Kalogirou,A
AU  - Cîmpeanu,R
AU  - Keaveny,EE
AU  - Papageorgiou,DT
DO  - 10.1017/jfm.2016.612
EP  - 13
PY  - 2016///
SN  - 1469-7645
SP  - 1
TI  - Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2016.612
UR  - http://hdl.handle.net/10044/1/42816
VL  - 806
ER  -
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