A theoretical model is developed to describe the hydrodynamic behavior of the vapor-liquid interface of a bubble at the heater surface leading to the initiation of critical heat flux (CHF) condition. The momentum flux resulting from evaporation at the bubble base is identified to be an important parameter. A model based on theoretical considerations is developed for upward-facing surfaces with orientations of 0 deg (horizontal) to 90 deg (vertical). It includes the surface-liquid interaction effects through the dynamic receding contact angle. The CHF in pool boiling for water, refrigerants and cryogenic liquids is correctly predicted by the model, and the parametric trends of CHF with dynamic receding contact angle and subcooling are also well represented.

1.
Lang, C., 1888, Transactions of Institute of Engineers and Shipbuilders, Scotland, Vol. 32, pp. 279–295.
2.
Nukiyama
,
S.
,
1966
, “
The Maximum and Minimum Values of the Heat Q Transmitted from Metal to Boiling Water under Atmospheric Pressure
,”
Int. J. Heat Mass Transf.
,
9
, pp.
1419
1433
.
3.
Drew
,
T. B.
, and
Mueller
,
A. C.
,
1937
, “
Boiling
,”
Transactions of AlChE
,
33
, pp.
449
471
.
4.
Bonilla
,
C. F.
, and
Perry
,
C. W.
,
1941
, “
Heat Transmission to Boiling Binary Liquid Mixtures
,”
Transactions of American Society of Chemical Engineers
,
37
, pp.
685
705
.
5.
Cichelli
,
M. T.
, and
Bonilla
,
C. F.
,
1945
, “
Heat Transfer to Liquids Boiling Under Pressure
,”
Transactions of American Society of Chemical Engineers
,
41
, pp.
755
787
.
6.
Kutateladze, S. S., 1948, “On the Transition to Film Boiling under Natural Convection,” Kotloturbostroenie, No. 3, pp. 10–12.
7.
Kutateladze, S. S., 1951, “A Hydrodynamic Theory of Changes in a Boiling Process Under Free Convection,” Izvestia Akademia Nauk, S.S.S.R., Otdelenie Tekhnicheski Nauk, No. 4, pp. 529.
8.
Rohsenow
,
W. M.
, and
Griffith
,
P.
,
1956
, “
Correlation of Maximum Heat Transfer Data for Boiling of Saturated Liquids
,”
Chem. Eng. Prog.
,
52
, pp.
47
47
.
9.
Zuber, N., 1959, “Hydrodynamic Aspects of Boiling Heat Transfer,” Ph.D. thesis, Research Laboratory, Los Angeles and Ramo-Wooldridge Corporation, University of California, Los Angeles, CA.
10.
Costello
,
C. P.
, and
Frea
,
W. J.
,
1963
, “
A Salient Non-Hydrodynamic Effect on Pool Boiling Burnout of Small Semi-Cylindrical Heaters
,”
AIChE Chemical Engineering Progress Symposium Series
,
61
, No.
57
, pp.
258
268
.
11.
Gaertner, R. F., 1963, “Effect of Heater Surface Chemistry on the Level of Burnout Heat Flux in Pool Boiling,” Technical Information Series, No. 63-RL-3449C, General Electric Research Laboratory, Schenectady, New York.
12.
Gaertner
,
R. F.
,
1965
, “
Photographic Study of Nucleate Pool Boiling on a Horizontal Surface
,”
ASME J. Heat Transfer
,
87
, pp.
17
29
.
13.
Katto
,
Y.
, and
Yokoya
,
S.
,
1968
, “
Principal Mechanism of Boiling Crisis in Pool Boiling
,”
Int. J. Heat Mass Transf.
,
11
, pp.
993
1002
.
14.
Lienhard, J. H., and Dhir, V. K., 1973, “Extended Hydrodynamic Theory of the Peak and Minimum Pool Boiling Heat Fluxes,” NASA CR-2270, Contract No. NGL 18-001-035.
15.
Haramura
,
Y.
, and
Katto
,
Y.
,
1983
, “
New Hydrodynamic Model of Critical Heat Flux Applicable Widely to both Pool and Forced Convection Boiling on Submerged Bodies in Saturated Liquids
,”
Int. J. Heat Mass Transf.
,
26
, pp.
379
399
.
16.
Liaw, S. P., and Dhir, V. K., “Effect of Surface Wettability on Transition Boiling Heat Transfer from a Vertical Surface,” Proceedings of the Eighth International Heat Transfer Conference, San Francisco, CA., Vol. 4, pp. 2031–2036.
17.
Ramilison
,
J. M.
, and
Lienhard
,
J. H.
,
1987
, “
Transition Boiling Heat Transfer and the Film Transition Regime
,”
ASME J. Heat Transfer
,
109
, pp.
746
752
.
18.
Elkassabgi
,
Y.
, and
Lienhard
,
J. H.
,
1988
, “
Influence of Subcooling on Burnout of Horizontal Cylindrical Heaters
,”
ASME J. Heat Transfer
,
110
, pp.
479
486
.
19.
Dhir
,
V. K.
, and
Liaw
,
S. P.
,
1989
, “
Framework for a Unified Model for Nucleate and Transition Pool Boiling
,”
ASME J. Heat Transfer
,
111
, pp.
3739
3746
.
20.
Addoms, J. N., 1948, “Heat Transfer at High Rates to Water Boiling Outside Cylinders,” Sc.D. thesis in Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA.
21.
Borishanskii, V. M., 1955, “On the Problem of Generalizing Experimental Data on the Cessation of Bubble Boiling in Large Volume of Liquids,” Ts. K.I.T., 28, Moscow.
22.
Chang, Y. P., 1961, “An Analysis of the Critical Conditions and Burnout in Boiling Heat Transfer,” USAEC Rep. TID-14004, Washington, DC.
23.
Moissis
,
R.
, and
Berenson
,
P. J.
,
1963
, “
On the Hydrodynamic Transitions in Nucleate Boiling
,”
ASME J. Heat Transfer
,
85
, pp.
221
229
.
24.
Kirby
,
D. B.
, and
Westwater
,
J. W.
,
1965
, “
Bubble and Vapor Behavior on a Heated Horizontal Plate During Pool Boiling Near Burnout
,”
Chem. Eng. Prog., Symp. Ser.
,
61
, No.
57
, pp.
238
248
.
25.
Yu
,
C. L.
, and
Mesler
,
R. B.
,
1977
, “
Study of Nucleate Boiling Near the Peak Heat Flux Through Measurement of Transient Surface Temperature
,”
Int. J. Heat Mass Transf.
,
20
, pp.
827
840
.
26.
Van Outwerkerk
,
H. J.
,
1971
, “
Burnout in Pool Boiling The Stability of Boiling Mechanisms
,”
Int. J. Heat Mass Transf.
,
15
, pp.
25
34
.
27.
Kirishenko
,
Yu. A.
, and
Cherniakov
,
P. S.
,
1973
, “
Determination of the First Critical Thermal Heat Flux on Flat Heaters
,”
J. Eng. Phys.
,
20
, pp.
699
702
.
28.
Diesselhorst, T., Grigull, U., and Hahne, E., 1977, “Hydrodynamic and Surface Effects on the Peak Heat Flux in Pool Boiling,” in Heat Transfer in Boiling, E. Hahne, and U. Grigull, eds., Hemisphere Publishing Corporation, Washington.
29.
Unal
,
C.
,
Daw
,
V.
, and
Nelson
,
R. A.
,
1992
, “
Unifying the Controlling Mechanisms for the Critical Heat Flux and Quenching: The Ability of Liquid to Contact the Hot Surface
,”
ASME J. Heat Transfer
,
114
, pp.
972
982
.
30.
Sadasivan
,
P.
,
Unal
,
C.
, and
Nelson
,
R.
,
1995
, “
Perspective: Issues in CHF Modeling—The Need for New Experiments
,”
ASME J. Heat Transfer
,
117
, pp.
558
567
.
31.
Tachibana
,
F.
,
Akiyama
,
M.
, and
Kawamura
,
H.
,
1967
, “
Non-Hydrodynamic Aspects of Pool Boiling Burnout
,”
J. Nucl. Sci. Technol.
,
4
, No.
3
, pp.
121
130
.
32.
Golobicˇ, I., and Bergles, A. E., 1997, “Effects of Heater-Side Factors on the Saturated Pool Boiling Critical Heat Flux,” Experimental Thermal and Fluid Science 1997, Elsevier Science Inc., New York, NY, pp. 43–51.
33.
Howard
,
A. H.
, and
Mudawar
,
I.
,
1999
, “
Orientation Effects on Pool Boiling Critical Heat Flux (CHF) and Modeling of CHF for Near-Vertical Surfaces
,”
Int. J. Heat Mass Transf.
,
42
, pp.
1665
1688
.
34.
Han
,
C. Y.
, and
Griffith
,
P.
,
1965
, “
The Mechanism of Heat Transfer in Nucleate Pool Boiling, Part I, Bubble Initiation, Growth and Departure
,”
Int. J. Heat Mass Transf.
,
8
, No.
6
, pp.
887
904
.
35.
Lamb, H., 1957, Hydrodynamics, Dover Publication, New York, NY.
36.
Kutateladze, S. S., and Schneiderman, L. L., 1953, “Experimental Study of Influence of Temperature of Liquid on Change in the Rate of Boiling,” USAEC Report, AECtr. 3405, pp. 95–100.
37.
Ivey, H. J., and Morris, D. J., 1962, “On the Relevance of Vapor-Liquid Exchange Mechanisms for Subcooled Boiling Heat Transfer at High Pressure,” U.K. Rep. AEEW-R-137, Winfrith.
38.
Duke, E. E., and Schrock, V. E., 1961, Fluid Mechanics Heat Transfer Institute, pp. 130–145.
39.
Jakob, M., and Fritz, W., 1931, Forsch. Gabiete Ing., Vol. 2, pp. 75.
40.
Rohsenow, W. M., “Boiling,” chap. 12, in Handbook of Heat Transfer Fundamentals, W. M. Rohsenow, J. P. Hartnett, and E. N. Ganic, eds., pp. 12.1–12.94.
41.
Kandlikar
,
S. G.
, and
Steinke
,
M. E.
,
2001
, “
Contact Angle of Droplets During Spread and Recoil After Impinging on a Heated Surface
,”
Trans IChemE
,
79
, Part A, pp.
491
498
.
42.
Deev
,
V. I.
,
Keilin
,
V. E.
,
Kondratenko
,
I. A.
, and
Petrovichev
,
V. I.
,
1977
, “
Nucleate and Film Pool Boiling Heat Transfer to Saturated Liquid Helium
,”
Cryogenics
,
17
, No.
10
, pp.
557
562
.
43.
Bewilogua
,
L.
,
Bewilogua
,
L.
, and
Vinzelberg
,
H.
,
1975
, “
Heat Transfer in Cryogenic Liquids under Pressure
,”
Cryogenics
,
15
, No.
3
, pp.
121
125
.
44.
Abuaf
,
N.
, and
Staub
,
F. W.
,
1983
, “
Low Pressure Pool Boiling and Critical Heat Flux Limits for R-113
,”
AIChE Symp. Ser.
,
79
, No.
225
, pp.
35
40
.
45.
Sakurai, A., and Shiotsu, M., 1974, “Temperature-Controlled Pool-Boiling Heat Transfer,” Proceedings of the Fifth International Heat Transfer Conference, Vol. 4, B3.1, pp. 81–85.
46.
Elkassabgi, Y., 1986, “The Peak Boiling Heat Flux from Horizontal Cylinders in Subcooled Liquids,” Ph.D. dissertation, Mechanical Engineering Department, University of Houston, Houston, TX.
You do not currently have access to this content.