A mathematical model predicting heat transfer and film thickness in thin-film region is developed herein. Utilizing dimensionless analysis, analytical solutions have been obtained for heat flux distribution, total heat transfer rate per unit length, location of the maximum heat flux and ratio of conduction thermal resistance to convection thermal resistance in the evaporating film region. These analytical solutions show that the maximum dimensionless heat flux is constant which is independent of the superheat. Maximum total heat transfer rate is determined for a given film region. The ratio of conduction thermal resistance to convection thermal resistance is a function of dimensionless film thickness. This work will lead to a better understanding of heat transfer and fluid flow occurring in the evaporating film region.

Issue Section:
Research Papers
Keywords:
analytical solution, thin film, heat transfer, evaporation, disjoining pressure
Topics:
Evaporation, Film thickness, Heat flux, Heat transfer, Thin films, Pressure

References

1.
Potash
,
M.
, and
Wayner
,
P. C.
,
1972
, “
Evaporation From a Two-Dimensional Extended Meniscus
,”
Int. J. Heat Mass Transfer
,
15
, pp.
1851
–
1863
.10.1016/0017-9310(72)90058-0
Google Scholar
Crossref
Search ADS
 
2.
Derjaguin
,
B. V.
, and
Zorin
,
Z. M.
,
1956
, “
Optical Study of the Absorption and Surface Condensation of Vapors in the Vicinity of Saturation on a Smooth Surface
,”
Proceedings of 2nd International Congress on Surface Activity
, Vol.
2
, pp.
145
–
152
.
3.
Moosman
,
S.
, and
Homsy
,
G. M.
,
1980
, “
Evaporating Menisci of Wetting Fluids
,”
J. Colloid Interface Sci.
,
73
(
1
), pp.
212
–
223
.10.1016/0021-9797(80)90138-1
Google Scholar
Crossref
Search ADS
 
4.
Holm
,
F. W.
, and
Goplen
,
S. P.
,
1979
, “
Heat Transfer in the Meniscus Thin_film Transition Region
,”
ASME J. Heat Transfer
,
101
(
3
), pp.
543
–
547
.10.1115/1.3451025
Google Scholar
Crossref
Search ADS
 
5.
Mirzamoghadam
,
A.
, and
Catton
,
I.
,
1988
, “
A Physical Model of the Evaporating Meniscus
,”
ASME J. Heat Transfer
,
110
(
1
), pp.
201
–
207
.10.1115/1.3250452
Google Scholar
Crossref
Search ADS
 
6.
Burelbach
,
J. P.
,
Bankoff
,
S. G.
, and
Davis
,
S. H.
,
1988
, “
Nonlinear Stability of Evaporating/Condensing Liquid Films
,”
J. Fluid Mech.
,
195
, pp.
463
–
494
.10.1017/S0022112088002484
Google Scholar
Crossref
Search ADS
 
7.
Stephan
,
P. C.
, and
Busse
,
C. A.
,
1993
, “
Analysis of the Heat Transfer Coefficient of Grooved Heat Pipe Evaporator Walls
,”
Int. J. Heat Mass Transfer
,
35
(
2
), pp.
383
–
391
.10.1016/0017-9310(92)90276-X
Google Scholar
Crossref
Search ADS
 
8.
Wayner
,
P. C.
,
Kao
,
Y. K.
, and
LaCroix
,
L. V.
,
1976
, “
The Interline Heat Transfer Coefficient of an Evaporating Wetting Film
,”
Int. J. Heat Mass Transfer
,
19
(
3
), pp.
487
–
492
.10.1016/0017-9310(76)90161-7
Google Scholar
Crossref
Search ADS
 
9.
Schonberg
,
J. A.
, and
Wayner
,
P. C.
, Jr.,
1992
, “
Analytical Solution for the Integral Contact Line Evaporative Heat Sink
,”
AIAA J. Thermophys. Heat Transfer
,
6
(
1
), pp.
128
–
134
.10.2514/3.327
Google Scholar
Crossref
Search ADS
 
10.
Ma
,
H. B.
, and
Peterson
,
G. P.
,
1998
, “
Disjoining Pressure Effect on the Wetting Characteristics in a Capillary Tube
,”
Microscale Thermophys. Eng.
,
2
(
4
), pp.
283
–
297
.10.1080/108939598199928
Google Scholar
Crossref
Search ADS
 
11.
Ma
,
H. B.
, and
Peterson
,
G. P.
,
1997
, “
Temperature Variation and Heat Transfer in Triangular Grooves With an Evaporating Film
,”
AIAA J. Thermophys. Heat Transfer
,
11
(
1
), pp.
90
–
97
.10.2514/2.6205
Google Scholar
Crossref
Search ADS
 
12.
Hanlon
,
M. A.
, and
Ma
,
H. B.
,
2003
, “
Evaporation Heat Transfer in Sintered Porous Media
,”
ASME J. Heat Transfer
,
125
(
4
), pp.
644
–
652
.10.1115/1.1560145
Google Scholar
Crossref
Search ADS
 
13.
Shao
,
W.
, and
Zhang
,
Y.
,
2011
, “
Effects of Film Evaporation and Condensation on Oscillatory Flow and Heat Transfer in an Oscillating Heat Pipe
,”
ASME J. Heat Transfer
,
133
(
4
), p.
042901
.10.1115/1.4002780
Google Scholar
Crossref
Search ADS
 
14.
Wang
,
H.
,
Garimella
,
S. V.
, and
Murthy
,
J. Y.
,
2008
, “
An Analytical Solution for the Total Heat Transfer in the Thin_film Region of an Evaporating Meniscus
,”
Int. J. Heat Mass Transfer
,
51
, pp.
6317
–
6322
.10.1016/j.ijheatmasstransfer.2008.06.011
Google Scholar
Crossref
Search ADS
 
15.
Wayner
,
P. C.
,
Kao
,
Y. K.
,
LaCroix
,
L.V.
,
1976
, “
The Interline Heat Transfer Coefficient of an Evaporating Wetting Film
,”
Int. J. Heat Mass Transfer
,
19
, pp.
487
–
492
.10.1016/0017-9310(76)90161-7
Google Scholar
Crossref
Search ADS
 
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