Imperial College London
Alternate

ProfessorDemetriosPapageorgiou

Faculty of Natural Sciences, Department of Mathematics

Chair in Applied Maths and Mathematical Physics
 
 
 
//

Contact

 

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

 
 
//

Location

 

750Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Papageorgiou:2015:10.1017/jfm.2015.683,
author = {Papageorgiou, DT and Thompson, AB and Tseluiko, D},
doi = {10.1017/jfm.2015.683},
journal = {Journal of Fluid Mechanics},
pages = {292--330},
title = {Falling liquid films with blowing and suction},
url = {http://dx.doi.org/10.1017/jfm.2015.683},
volume = {787},
year = {2015}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Flow of a thin viscous film down a flat inclined plane becomes unstable to long-wave interfacial fluctuations when the Reynolds number based on the mean film thickness becomes larger than a critical value (this value decreases as the angle of inclination to the horizontal increases, and in particular becomes zero when the plate is vertical). Control of these interfacial instabilities is relevant to a wide range of industrial applications including coating processes and heat or mass transfer systems. This study considers the effect of blowing and suction through the substrate in order to construct from first principles physically realistic models that can be used for detailed passive and active control studies of direct relevance to possible experiments. Two different long-wave, thin-film equations are derived to describe this system; these include the imposed blowing/suction as well as inertia, surface tension, gravity and viscosity. The case of spatially periodic blowing and suction is considered in detail and the bifurcation structure of forced steady states is explored numerically to predict that steady states cease to exist for sufficiently large suction speeds since the film locally thins to zero thickness, giving way to dry patches on the substrate. The linear stability of the resulting non-uniform steady states is investigated for perturbations of arbitrary wavelength, and any instabilities are followed into the fully nonlinear regime using time-dependent computations. The case of small amplitude blowing/suction is studied analytically both for steady states and their stability. Finally, the transition between travelling waves and non-uniform steady states is explored as the amplitude of blowing and suction is increased.
AU  - Papageorgiou,DT
AU  - Thompson,AB
AU  - Tseluiko,D
DO  - 10.1017/jfm.2015.683
EP  - 330
PY  - 2015///
SN  - 1469-7645
SP  - 292
TI  - Falling liquid films with blowing and suction
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2015.683
UR  - http://hdl.handle.net/10044/1/28353
VL  - 787
ER  -
Download