Imperial College London
Alternate

ProfessorDemetriosPapageorgiou

Faculty of Natural Sciences, Department of Mathematics

Chair in Applied Maths and Mathematical Physics
 
 
 
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Contact

 

+44 (0)20 7594 8369d.papageorgiou Website

 
 
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Location

 

750Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Katsiavria:2022:10.1016/j.wavemoti.2022.103018,
author = {Katsiavria, A and Papageorgiou, DT},
doi = {10.1016/j.wavemoti.2022.103018},
journal = {Wave Motion},
pages = {1--14},
title = {Nonlinear waves in viscous multilayer shear flows in the presence of interfacial slip},
url = {http://dx.doi.org/10.1016/j.wavemoti.2022.103018},
volume = {114},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The stability of immiscible two-fluid Couette flows is considered when slip is present at the liquid–liquid interface. The phenomena are modelled by incorporating a Navier slip condition at the interface to replace that of no slip. A nonlinear asymptotic theory is developed when the flow geometry consists of a thin layer slipping over a thick fluid layer that scales with the channel height. A nonlocal, nonlinear evolution equation is derived that is valid at finite Reynolds numbers, slip lengths, viscosity and density ratios. The nonlocal term arises from the coupling between the phases and its Fourier symbol is calculated in closed form in terms of Airy functions, thus generalising past results by the inclusion of slip. The linear spectrum is calculated and it is shown that in geometries containing a thin layer, the role of slip is to introduce dispersion and reduce instability or enhance stability.
AU  - Katsiavria,A
AU  - Papageorgiou,DT
DO  - 10.1016/j.wavemoti.2022.103018
EP  - 14
PY  - 2022///
SN  - 0165-2125
SP  - 1
TI  - Nonlinear waves in viscous multilayer shear flows in the presence of interfacial slip
T2  - Wave Motion
UR  - http://dx.doi.org/10.1016/j.wavemoti.2022.103018
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000838590600009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
UR  - https://www.sciencedirect.com/science/article/pii/S0165212522000798
UR  - http://hdl.handle.net/10044/1/103989
VL  - 114
ER  -
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