PHYSICAL REVIEW FLUIDS 00, 004000 (2018) 1
Experimental investigations of liquid falling films flowing under
an inclined planar substrate
2
3
Alexandros Charogiannis,
1
Fabian Denner,
2, 3
Berend G. M. van Wachem,
3
Serafim Kalliadasis,
4
Benoit Scheid,
5
and Christos N. Markides
1 , *
4
5
1
Clean Energy Processes (CEP) Laboratory, Department of Chemical Engineering, Imperial College London,
London SW7 2AZ, United Kingdom
6
7
2
Department of Mechanical Engineering, Imperial College London, London SW7 2AZ, United Kingdom 8
3
Chair of Mechanical Process Engineering, Otto-von-Guericke-Universitt Magdeburg Universittsplatz 2,
39106 Magdeburg, Germany
9
10
4
Department of Chemical Engineering, Imperial College London, London SW7 2AZ, United Kingdom 11
5
TIPs, Université Libre de Bruxelles, Avenue F.D. Roosevelt 50 1050 Bruxelles, Belgium 12
(Received 26 February 2018; published xxxxxx) 14
We report on detailed and systematic experiments of thin liquid films flowing as a result
of the action of gravity under an inverted planar substrate. A measurement technique based
on planar laser-induced fluorescence (PLIF) was developed and applied to a range of
such flows in order to provide detailed space- and time-resolved film-height information.
Specifically, the experimental campaign spanned three inclination angles (β =−15
◦
,
−30
◦
, and −45
◦
, in all cases negative with respect to the vertical), two water-glycerol
solutions (with Kapitza numbers of Ka = 13.1 and 330), and flow Reynolds numbers
covering the range Re = 0.6–193. The collection optics were arranged so as to interrogate
a spanwise section of the flow extending about 40 mm symmetrically on either side the
centerline of the film span (80 mm in total), at a distance 330 mm downstream of the
flow inlet. A range of flow regimes, typically characterized by strong three dimensionality
and pronounced rivulet formation, were observed depending on the imposed inlet flow
conditions. In the lower liquid Kapitza number Ka (=13.1) flows and depending on the
flow Re, the free surface of the film was populated by smooth rivulets or regular sequences
of solitary pulses that traveled over the rivulets. In the higher liquid Ka (=330) flows,
rivulets were observed typically above Re ≈ 30, depending also on the inclination angle,
and grew in amplitude until quasi-two-dimensional fronts developed intermittently that
were associated with distinct thin-film regions of varying length and frequency. These
regions are of particular interest as they are expected to affect strongly the heat and mass
transfer capabilities of these flows. The occurrence of the fronts was more pronounced,
with higher wave frequencies, in film flows at smaller negative inclinations for the same
flow Re. The rivulet amplitude was found to increase at larger inclinations for the same
Re and showed a nonmonotonic trend with increasing Re, reaching a maximum that
shifted to higher Re at larger inclinations. Furthermore, in flows that displayed pronounced
rivulet formation [i.e., large (negative) β and higher Re], the local film-height standard
deviation in regions corresponding to the rivulet crests and troughs was reduced compared
to the film-height standard deviation calculated over the entire examined film region. The
mean rivulet wavelength also increased at larger inclinations, peaking at 26 mm when
Ka = 330. Based on our experimental results and theoretical arguments, we hypothesize
that the formation of rivulets can be attributed, at small β , to a secondary Rayleigh-Taylor
instability mechanism that destabilizes the suspended two-dimensional wavefronts, and at
*
Corresponding author: c.markides@imperial.ac.uk
2469-990X/2018/00(0)/004000(39) 004000-1 ©2018 American Physical Society