Imperial College London
Alternate

ProfessorSerafimKalliadasis

Faculty of Engineering, Department of Chemical Engineering

Prof in Engineering Science & Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1373s.kalliadasis Website

 
 
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Assistant

 

Miss Jessica Baldock +44 (0)20 7594 5699

 
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Location

 

516ACE ExtensionSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Thompson:2019:10.1017/jfm.2019.580,
author = {Thompson, AB and Gomes, SN and Denner, F and Dallaston, MC and Kalliadasis, S},
doi = {10.1017/jfm.2019.580},
journal = {Journal of Fluid Mechanics},
pages = {844--881},
title = {Robust low-dimensional modelling of falling liquid films subject to variable wall heating},
url = {http://dx.doi.org/10.1017/jfm.2019.580},
volume = {877},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Accurate low-dimensional models for the dynamics of falling liquid films subject to localized or time-varying heating are essential for applications that involve patterning or control. However, existing modelling methodologies either fail to respect fundamental thermodynamic properties or else do not accurately capture the effects of advection and diffusion on the temperature profile. We argue that the best-performing long-wave models are those that give the surface temperature implicitly as the solution of an evolution equation in which the wall temperature alone (and none of its derivatives) appears as a source term. We show that, for both flat and non-uniform films, such a model can be rationally derived by expanding the temperature field about its free-surface values. We test this model in linear and nonlinear regimes, and show that its predictions are in remarkable quantitative agreement with full Navier–Stokes calculations regarding the surface temperature, the internal temperature field and the surface displacement that would result from temperature-induced Marangoni stresses.
AU  - Thompson,AB
AU  - Gomes,SN
AU  - Denner,F
AU  - Dallaston,MC
AU  - Kalliadasis,S
DO  - 10.1017/jfm.2019.580
EP  - 881
PY  - 2019///
SN  - 0022-1120
SP  - 844
TI  - Robust low-dimensional modelling of falling liquid films subject to variable wall heating
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2019.580
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000485198600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/73980
VL  - 877
ER  -
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