Wave evolution and heat transfer behavior of a wavy condensate film down a vertical wall have been investigated by a finite difference method, in which the algorithm is based on the HSMAC method, and a staggered grid fixed on a physical space is employed. For the moving interface, newly proposed methods are used. A random perturbation of the film thickness is generated near the leading edge. The perturbation quickly diminishes once and small-amplitude long waves are propagated downstream. Then the amplitude of the wave increases rapidly at a certain position, and the wave shape changes from a sinusoidal wave to a pulse-like solitary wave which is composed of a large-amplitude wave and capillary waves. A circulation flow occurs in the large wave and it affects the temperature field. The heat transfer is enhanced by space-time film thickness variation and convection effects.

1.
Shea
,
F. L.
, and
Krase
,
N. W.
,
1940
, “
Drop-Wise and Film Condensation of Steam
,”
Transactions of the American Institute Chemical Engineering
,
36
, pp.
463
487
.
2.
Slegers
,
L.
, and
Seban
,
R. A.
,
1969
, “
Nusselt Condensation of n-Butyl Alcohol
Int. J. Heat Mass Transf.
,
12
, pp.
237
239
.
3.
Ratiani
,
G. V.
, and
Shekriladze
,
I. G.
,
1964
, “
An Experimental Study of the Heat Exchange Process on Transition from Laminar to Turbulent Flow of the Film
,”
Thermal Engineering
11
, pp.
101
103
.
4.
Gregorig
,
R.
,
Kern
,
J.
, and
Turek
,
K.
,
1974
, “
Improved Correlation of Film Condensation Data Based on a More Rigorous Application of Similarity Parameters
,”
Waerme- Stoffuebertrag.
,
7
, pp.
1
13
.
5.
Selin, G., 1961, “Heat Transfer by Condensing Pure Vapors Outside Inclined Tubes,” International Development in Heat Transfer, Proceedings of the Heat Transfer Conference (Part II), University of Colorado, Boulder, CO, pp. 279–289.
6.
Struve, H., 1967, “Der Wa¨rmeu¨bertragang an einen verdamphenden Rieselfilm,” DVI-Forschungsheft 534, pp. 1–36.
7.
Chun
,
K. R.
, and
Seban
,
R. A.
,
1971
, “
Heat Transfer to Evaporating Liquid Films
,”
ASME Journal of Heat Transfer
,
93
, pp.
391
396
.
8.
Kutateladze, S. S., 1963, Fundamentals of Heat Transfer, Academic, New York.
9.
HEDH, 1983, Hemisphere Publishing Corporation, 2.
10.
Uehara
,
H.
, and
Kinoshita
,
E.
,
1994
, “
Wave and Turbulent Film Condensation on a Vertical Surface (Correlation for Local Heat Transfer Coefficient)
,”
Trans. Jpn. Soc. Mech. Eng.
,
60
, pp.
3109
3116
, (in Japanese).
11.
Hirshburg
,
R. I.
, and
Florschuetz
,
L. W.
,
1982
, “
Laminar Wavy-Film Flow: Part I—Hydrodyinamic Analysis
,”
ASME Journal of Heat Transfer
,
104
, pp.
452
458
.
12.
Hirshburg
,
R. I.
, and
Florscheutz
,
L. W.
,
1982
, “
Laminar Wavy-Film Flow: Part II—Condensation and Evaporation
,”
ASME Journal of Heat Tranfer
104
, pp.
459
464
.
13.
StuhltrIa¨ger
,
E.
,
Naridomi
,
Y.
,
Naridomi
,
A. Miyara
, and
Uehara
,
H.
,
1993
, “
Flow Dynamics and Heat Transfer of a Condensate Film on a Vertical Wall: I—Numerical Analysis and Flow Dynamics
,”
Int. J. Heat Mass Transf.
,
36
, No.
6
, pp.
1677
1686
.
14.
StuhltrIa¨ger
,
E.
,
Miyara
,
A.
, and
Uehara
,
H.
,
1995
, “
Flow Dynamics and Heat Transfer of a Condensate Film on a Vertical Wall: II—Flow Dynamics and Heat Transfer
,”
Int. J. Heat Mass Transf.
38
, No.
15
, pp.
2715
2722
.
15.
Miyara, A., 1997, “Numerical Simulation of Interfacial Waves on a Falling Liquid Film,” Proceedings of the 10th International Symposium on Transport Phenomena in Thermal Science and Process Engineering, Kyoto, 3, pp. 863–868.
16.
Miyara
,
A.
,
2000
, “
A Numerical Scheme for the Simulation of Interfacial Waves on a Falling Liquid Film
,”
International Journal of Transport Phenomena
,
2
, pp.
241
252
.
17.
Miyara
,
A.
,
2000
, “
Numerical Simulation of Wavy Liquid Film Flowing Down on a Vertical and Inclined Wall
,”
International Journal of Thermal Sciences
,
39
, pp.
1015
1027
.
18.
Hirt
,
C. W.
, and
Cook
,
J. L.
,
1972
, “
Calculating Three-Dimensional Flows around Structures and Over Rough Terrain
,”
J. Comput. Phys.
,
10
, pp.
324
320
.
19.
Yih, S. M., 1986, Handbook of Heat and Mass Transfer, 2, N. P. Cheremisinoff, editor, Gulf Publishing Company, Houston.
20.
Chang
,
H. C.
,
Demekhin
,
E. A.
, and
Kalaidin
,
E.
,
1996
, “
Simulation of Noise-Driven Wave Dynamics on a Falling Film
,”
AIChE J.
42
, pp.
1553
1568
.
21.
Gentry
,
R. A.
,
Martin
,
R. E.
, and
Daly
,
B. J.
,
1966
, “
An Eulerian Differencing Method for Unsteady Compressible Flow Problems
,”
J. Comput. Phys.
,
1
, pp.
87
188
.
22.
Roache, P. J., 1972, Computational Fluid Dynamics, Hermosa Publishers, Albuquerque.
23.
Liu
,
J.
, and
Gollub
,
J. P.
,
1994
, “
Solitary Wave Dynamics of Film Flows
,”
Phys. Fluids
,
6
, No.
5
, pp.
1702
1712
.
24.
Pierson
,
F. W.
, and
Whitaker
,
S.
,
1977
, “
Some Theoretical and Experimental Observation of the Wave Structure of Falling Liquid Films
,”
Industrial and Engineering Chemistry, Fundamentals
,
16
, pp.
401
408
.
25.
Alekseenko, S. V., Nakoryakov, V. E., and Pokusaev, B. G., 1994, Wave Flow of Liquid Films,, Begell House, New York.
26.
Carey, V. P., 1992, Liquid-Vapor Phase-Change Phenomena, Taylor & Francis, Bristol.
27.
Jones
,
L. O.
, and
Whitaker
,
S.
,
1966
, “
An Experimental Study of Falling Liquid Films
,”
AIChE J.
,
12
, pp.
525
529
.
28.
Kapitza, P. L., and Kapitza, S. P., 1965, Wavy Flow of Thin Layers of Viscous Fluid, Collected Papers of P. L. Kapitza, 2, Pergamon, New York, pp. 662–709.
29.
Stainthorp
,
F. P.
, and
Allen
,
J. M.
,
1965
, “
The Development of Ripples on the Surface of a Liquid Film Flowing Inside a Vertical Tuve
,”
Trans. Inst. Chem. Eng.
43
, pp.
T85–T91
T85–T91
.
30.
Strobel
,
W. J.
, and
Whitaker
,
S.
,
1969
, “
The Effect of Surfactants of the Flow Characteristics of Falling Liquid Films
,”
AIChE J.
,
15
, pp.
527
532
.
You do not currently have access to this content.