A new adsorption model for the spreading dynamics of completely wetting fluids on a heated solid substrate that emphasizes interfacial phenomena is developed and evaluated. The model is based on the premise that both interfacial intermolecular forces and temperature affect the vapor pressure in change-of-phase heat transfer and (therefore) the spreading velocity. Classical change-of-phase kinetics, and interfacial concepts like the Clapeyron, Kelvin, and the augmented Young–Laplace equations are used to evaluate the effects of stress (change in apparent dynamic contact angle), temperature, and superheat on the rewetting velocity. Explicit equations are obtained for the velocity, heat flux, and superheat in the contact line region as a function of the initial plate temperature. Comparisons with experimental data for substrate superheats below a critical value demonstrate that the resulting interfacial model of evaporation/condensation in the contact line region can describe the effect of the saturation temperature and superheat on the rewetting velocity.

1.
Anderson, D.M., and Davis, S.H., 1993, “The Spreading of Volatile Liquid Droplets on Heat Surfaces,” Technical Report No. 9210, Applied Mathematics, Northwestern University, Evanston, IL.
2.
Blair
J. M.
,
1975
, “
An Analytical Solution to a Two-Dimensional Model of the Rewetting of a Hot Dry Rod
,”
Nucl. Eng. Des.
, Vol.
32
, pp.
159
170
.
3.
Carey, V.P., 1992, Liquid–Vapor Phase Change Phenomena: An Introduction to the Thermophysics of Vaporization and Condensation Processes in Heat Transfer Equipment, Hemisphere Publishing Corp., Washington, DC.
4.
DasGupta
S.
,
Kim
I. Y.
, and
Wayner
P. C.
,
1994
, “
Use of the Kelvin-Clapeyron Equation to Model an Evaporating Curved Microfilm
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
116
, pp.
1007
1015
.
5.
Derjaguin, B.V., Churaev, N.V, Muller, V.M., and Kitchener, J.A., 1987, Surface Forces, Plenum Press, New York.
6.
Dhir
V. K.
, and
Liaw
S. P.
,
1989
, “
Framework for a Unified Model for Nucleate and Transition Pool Boiling
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
111
, pp.
739
746
.
7.
Dua
S. S.
, and
Tien
C. L.
,
1976
, “
Two-Dimensional Analysis of Conduction-Controlled Rewetting With Precursory Cooling
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
98C
, pp.
407
413
.
8.
Duffey
R. B.
, and
Porthouse
D. T. C.
,
1973
, “
The Physics of Rewetting in Water Reactor Emergency Core Cooling
,”
Nucl. Eng. Design
, Vol.
25
, pp.
379
394
.
9.
Elias
E.
, and
Yadigaroglu
G.
,
1977
, “
A General One Dimensional Model for Conduction-Controlled Rewetting of a Surface
,”
Nucl. Eng. Design
, Vol.
42
, pp.
185
194
.
10.
Gambill, W. R., and Lienhard, J. H., 1987, “An Upper Bound for the Critical Boiling Heat Flux,” Proc. ASME-JSME Thermal Engineering Joint Conf., Vol. 3, pp. 621–626.
11.
Israelachvili, L, 1992, Imermolecular and Surface Forces, 2nd ed., Academic Press Inc., San Diego, CA, p. 203.
12.
Lay, J.H., and Dhir, V.K., 1994, “A Nearly Theoretical Model for Fully Developed Nucleate Boiling of Saturated Liquids,” Proc. of the Tenth Int. Heat Transfer Conf., R. J. Berryman, ed., Paper No. 10-PB-17, Brighton, United Kingdom.
13.
Linehan
J. H.
,
Howard
P. A.
, and
Grolmes
M. A.
,
1979
, “
The Stationary Boiling Front in Liquid Film Cooling of a Vertical Heated Rod
,”
Nucl. Eng. Design
, Vol.
52
, pp.
201
218
.
14.
Mantel
M.
, and
Wightman
J. P.
,
1994
, “
Influence of the Surface Chemistry on the Wettability of Stainless Steel
,”
Surface and lnterfacial Analysis
, Vol.
21
, pp.
595
605
.
15.
Olek
S.
,
Zvirin
Y.
, and
Elias
E.
,
1988
, “
Rewetting of Hot Surfaces by Falling Liquid Films as a Conjugate Heat Transfer Problem
,”
Int. J. Multiphase Flow
, Vol.
14
, pp.
13
33
.
16.
Peng
X. F.
,
Peterson
G. P.
, and
Wang
B. X.
,
1992
, “
On the Wetting Mechanism of Liquid Flow on Hot Surfaces
,”
Int. J. Heat Mass Transfer
, Vol.
35
, pp.
1615
1624
.
17.
Perry, R.H., and Chilton, C.H., 1973, Chemical Engineers’ Handbook, McGraw-Hill, New York, Chap. 3.
18.
Potash
M.
, and
Wayner
P. C.
,
1972
, “
Evaporation From a Two Dimensional Extended Meniscus
,”
Int. J. Heat Mass Transfer
, Vol.
15
, pp.
1851
1863
.
19.
Reyes
R.
, and
Wayner
P. C.
,
1995
a, “
An Adsorption Model for the Superheat at the Critical Heat Flux
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
117
, pp.
779
781
.
20.
Reyes, R., and Wayner, P.C., Jr., 1995b, “A Kelvin-Clapeyron Model for Spreading on a Heated Plate,” in: Basic Aspects of Two Phase Flow and Heat Transfer V. K. Dhir, ed., ASME HTD-Vol. 308, pp. 47–56.
21.
Schrage, R.W., 1953, “A Theoretical, Study of Interphase Mass Transfer,” Columbia University Press, NY, Chap. II.
22.
Segev
A.
, and
Bankoff
S. G.
,
1980
, “
The Role of Adsorption in Determining the Minimum Film Boiling Temperature
,”
Int. J. Heat Mass Transfer
, Vol.
23
, pp.
637
642
.
23.
Simopoulos
S. E.
,
El-Shirbini
A. A.
, and
Murgatroyd
W.
,
1979
, “
Experimental Investigation of the Rewetting Process in a Freon-113 Vapor Environment
,”
Nuclear Engineering and Design
, Vol.
55
, pp.
17
24
.
24.
Speigler
P.
,
Hopenfeld
J.
,
Silberberg
M.
,
Bumpus
C. F.
, and
Dorman
A.
,
1963
, “
Onset of Stable Film Boiling and the Foam Limit
,”
Int. J. Heat Mass Transfer
, Vol.
6
, pp.
987
994
.
25.
Stephan
P.
, and
Hammer
J.
,
1994
, “
A New Model for Nucleate Boiling Heat Transfer
,”
Wa¨rme- und Stoffu¨bertrangung
, Vol.
30
, pp.
119
125
.
26.
Stephan
P. C.
, and
Busse
C. A.
,
1992
, “
Analysis of the Heat Transfer Coefficient of Grooved Heat Pipe Evaporator Walls
,”
Int. J. Heat Mass Transfer
, Vol.
35
, pp.
383
391
.
27.
Thompson
T. S.
,
1972
, “
An Analysis of the Wet-Side Heat-Transfer Coefficient During Rewetting of a Hot Dry Patch
,”
Nucl. Eng. Design
, Vol.
22
, pp.
212
214
.
28.
Truong
J. G.
, and
Wayner
P. C.
,
1987
, “
Effect of Capillary and van der Waals Dispersion Forces on the Equilibrium Profile of a Wetting Liquid: Theory and Experiment
,”
J. Chem. Phys.
, Vol.
87
(
7
), pp.
4180
4188
.
29.
Unal
C.
,
Daw
V.
, and
Nelson
R.
,
1992
, “
Unifying the Controlling Mechanisms for the Critical Heat Flux and Quenching: The Ability of the Liquid to Contact the Hot Surface
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
114
, pp.
972
982
.
30.
Yamanouchi
A.
,
1968
, “
Effect of Core Spray Cooling in Transient State After Loss of Coolant Accident
,”
J. Nuclear Science and Technology
, Vol.
5
, pp.
547
558
.
31.
Wayner
P. C.
,
Kao
Y. K.
, and
LaCroix
L. V.
,
1976
, “
The Interline Heat Transfer Coefficients of an Evaporating Film
,”
Int. J. Heat Mass Transfer
, Vol.
19
, pp.
487
492
.
32.
Wayner
P. C.
,
1982
, “
Adsorption and Capillary Condensation at the Contact Line in Change-of-Phase Heat Transfer
,”
Int. J. Heat Mass Transfer
, Vol.
25
, pp.
707
713
.
33.
Wayner
P. C.
,
1994
, “
Thermal and Mechanical Effects in the Spreading of a Liquid Due to a Change in the Apparent Finite Contact Angel
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
116
, pp.
938
945
.
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