Pool boiling is postulated as a single-phase heat transfer process with nucleating bubbles providing a liquid pumping mechanism over the heater surface. This results in three fluid streams at the heater surface—outgoing vapor and liquid streams, and an incoming liquid stream. Heat transfer during periodic replacement of the liquid in the influence region around a nucleating bubble is well described by transient conduction (TC) and microconvection (MiC) mechanisms. Beyond this region, free convection (FC) or macroconvection (MaC) contributes to heating of the liquid. A bubble growing on the heater surface derives its latent heat from the surrounding superheated liquid and from the microlayer providing a direct heat conduction path. Secondary evaporation occurs in the bubbles rising in the bulk after departure, and at the free surface. This secondary evaporation does not directly contribute to the heat transfer at the heater surface but provides a means of dissipating liquid superheat. A sonic limit-based model is then presented for estimating the theoretical upper limit for pool boiling heat transfer by considering the three fluid streams to approach their respective sonic velocities. Maximum heat transfer rates are also estimated using this model with two realistic velocities of 1 and 5 m/s for the individual streams and are found to be in general agreement with available experimental results. It is postulated that small bubbles departing at high velocity along with high liquid stream velocities are beneficial for heat transfer. Based on these concepts, future research directions for enhancing pool boiling heat transfer are presented.
Issue Section:
Evaporation, Boiling, and Condensation
References
1.
Gaertner
, R. F.
, 1965
, “Photographic Study of Nucleate Pool Boiling on a Horizontal Surface
,” ASME J. Heat Transfer
, 87
(1
), pp. 17
–29
.2.
Jakob
, M.
, 1949
, Heat Transfer
, Wiley
, New York
.3.
Rohsenow
, W. M.
, 1952
, “A Method of Correlating Heat Transfer Data for Surface Boiling of Liquids
,” Trans. ASME
, 74
(8
), pp. 969
–976
.http://hdl.handle.net/1721.1/614314.
Rohsenow
, W. M.
, and Griffith
, P.
, 1955
, “Correlation of Maximum Heat Transfer Data for Boiling of Saturated Liquids
,” Massachusetts Institute of Technology, Cambridge, MA, Report No. 6
.https://dspace.mit.edu/handle/1721.1/614805.
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
, 4
, pp. 529
–536
.6.
Zuber
, N.
, 1959
, “Hydrodynamic Aspects of Boiling Heat Transfer
,” Ph.D. thesis
, University of California, Los Angeles, CA.7.
Moissis
, R.
, and Berensen
, P. J.
, 1963
, “On the Hydrodynamic Transitions in Nucleate Boiling
,” ASME J. Heat Transfer
, 85
(3
), pp. 221
–226
.8.
Hsu
, Y. Y.
, and Graham
, R. W.
, 1961
, “An Analytical and Experimental Study of the Thermal Boundary Layer and the Ebullition Cycle in Nucleate Boiling
,” NASA Lewis Research Center, Cleveland, OH, Report No. NASA TN-D-594
.https://catalog.hathitrust.org/Record/0114491429.
Hsu
, Y. Y.
, 1962
, “On the Size Range of Active Nucleation Cavities on a Heating Surface
,” ASME J. Heat Transfer
, 84
(3
), pp. 207
–213
.10.
Han
, C. Y.
, and Griffith
, P.
, 1965
, “The Mechanism of Heat Transfer in Nucleate Pool Boiling
,” Int. J. Heat Mass Transfer
, 8
, pp. 887
–917
.11.
Judd
, R. L.
, and Hwang
, K. S.
, 1976
, “A Comprehensive Model for Nucleate Pool Boiling Heat Transfer Including Microlayer Evaporation
,” ASME J. Heat Transfer
, 98
(4
), pp. 623
–629
.12.
Sharp
, R. R.
, 1964
, “The Nature of Liquid Film Evaporation During Nucleate Boiling
,” NASA Lewis Research Center, Cleveland, OH, Report No. NASA TN D-1997
.https://catalog.hathitrust.org/Record/01143286213.
Hospeti
, N. B.
, and Mesler
, R. B.
, 1965
, “Deposits Formed Beneath Bubbles During Nucleate Boiling of Radioactive Calcium Sulfate Solutions
,” AIChE J.
, 11
(4
), pp. 662
–665
.14.
Jawurek
, H. H.
, 1969
, “Simultaneous Determination of Microlayer Geometry and Bubble Growth in Nucleate Boiling
,” Int. J. Heat Mass Transfer
, 12
(8
), pp. 843
–848
.15.
Cooper
, M. G.
, 1969
, “The Microlayer and Bubble Growth in Nucleate Pool Boiling
,” Int. J. Heat Mass Transfer
, 12
(8
), pp. 915
–933
.16.
Cooper
, M. G.
, and Lloyd
, 1969
, “The Microlayer in Nucleate Pool Boiling
,” Int. J. Heat Mass Transfer
, 12
(8
), pp. 895
–913
.17.
Ouwerkerk
, V.
, 1971
, “The Rapid Growth of a Vapour Bubble at a Liquid- Solid Interface
,” Int. J. Heat Mass Transfer
, 14
(9
), pp. 1415
–1430
.18.
Cooper
, M. G.
, and Merry
, J. M. D.
, 1973
, “A General Expression for the Rate of Evaporation of a Layer of Liquid on a Solid Body
,” Int. J. Heat Mass Transfer
, 16
(9
), pp. 1811
–1815
.19.
Graham
, R. W.
, and Hendricks
, R. C.
, 1967
, “Assessment of Convection, Conduction and Evaporation in Nucleate Boiling
,” NASA Lewis Research Center, Cleveland, OH, Report No. NASA TN D-3943
.https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19670015149.pdf20.
Wayner
, P. C.
, Jr., Kao
, Y. K.
, and LaCroix
, 1976
, “The Interline Heat Transfer Coefficient of an Evaporating Wetting Film
,” Int. J. Heat Mass Transfer
, 19
(5
), pp. 487
–492
.21.
Stephan
, P.
, and Hammer
, J.
, 1994
, “A New Model for Nucleate Boiling Heat Transfer
,” Wärme- Und Stoffübertragung
, 30
(2
), pp. 119
–125
.22.
Kandlikar
, S. G.
, 2017
, “Enhanced Macroconvection Mechanism With Separate Liquid-Vapor Pathways to Improve Pool Boiling Performance
,” ASME J. Heat Transfer
, 139
(5
), p. 051501
.23.
Haider
, S. I.
, and Webb
, R. L.
, 1997
, “A Transient Micro-Convection Model of Nucleate Pool Boiling
,” Int. J. Heat Mass Transfer
, 40
(15
), pp. 3675
–3688
.24.
Koffman
, L. D.
, and Plesset
, M. S.
, 1983
, “Experimental Observations of the Microlayer in Vapor Bubble Growth on a Heated Solid
,” ASME J. Heat Transfer
, 105
(3
), pp. 625
–632
.25.
Jung
, S.
, and Kim
, H.
, 2014
, “An Experimental Method to Simultaneously Measure the Dynamics and Heat Transfer Associated With a Single Bubble During Nucleate Boiling on a Horizontal Surface
,” Int. J. Heat Mass Transfer
, 73
, pp. 365
–375
.26.
Mukherjee
, A.
, and Kandlikar
, S. G.
, 2006
, “Numerical Study of Effect of Contact Angle on Bubble Growth and Wall Heat Transfer During Flow Boiling of Water in a Microchannel
,” International Heat Transfer Conference
, Sydney, Australia
, Aug. 13–18
.27.
Mukherjee
, A.
, and Kandlikar
, S. G.
, 2007
, “Numerical Study of Single Bubbles With Dynamic Contact Angle During Nucleate Pool Boiling
,” Int. J. Heat Mass Transfer
, 50
(1–2
), pp. 127
–138
.28.
Mukherjee
, A.
, 2009
, “Contribution of Thin Film Evaporation During Flow Boiling Inside Microchannels
,” Int. J. Therm. Sci.
, 48
(11
), pp. 2025
–2035
.29.
Mikic
, B. B.
, and Rohsenow
, W. M.
, 1969
, “A New Correlation of Pool Boiling Data Including the Effect of Heating Surface Characteristics
,” ASME J. Heat Transfer
, 9
(12
), pp. 245
–250
.30.
Meyers
, J. G.
, Yerramilli
, V. K.
, Hussey
, S. W.
, Yee
, G. F.
, and Kim
, J.
, 2005
, “Time and Space Resolved Wall Temperature and Heat Flux Measurements During Nucleate Boiling With Constant Heat Flux Boundary Conditions
,” Int. J. Heat Mass Transfer
, 48
(12
), pp. 2429
–2442
.31.
Moghaddam
, S.
, and Kiger
, 2009
, “Physical Mechanisms of Heat Transfer During Single Bubble Nucleate Boiling of FC-72 Under Saturation Conditions—II: Theoretical Analysis
,” Int. J. Heat Mass Transfer
, 52
(5–6
), pp. 1295
–1303
.32.
Moore
, F. D.
, and Mesler
, R. B.
, 1961
, “The Measurement of Rapid Surface Temperature Fluctuations During Nucleate Boiling of Water
,” AIChE J.
, 7
(4
), pp. 620
–624
.33.
Olander
, R. R.
, and Watts
, R. G.
, 1969
, “An Analytical Expression of Microlayer Thickness in Nucleate Boiling
,” ASME J. Heat Transfer
, 91
(1
), pp. 178
–180
.34.
Zou
, A.
, Gupta
, M.
, and Maroo
, S. C.
, 2018
, “Origin, Evolution, and Movement of Microlayer in Pool Boiling
,” J. Phys. Chem. Lett.
, 9
(14
), pp. 3863
–3869
.35.
Utaka
, Y.
, Kashiwabara
, Y.
, and Ozaki
, M.
, 2013
, “Microlayer Structure in Nucleate Boiling of Water and Ethanol at Atmospheric Pressure
,” Int. J. Heat Mass Transfer
, 57
(1
), pp. 222
–230
.36.
Utaka
, Y.
, Kashiwabara
, Y.
, Ozaki
, M.
, and Chen
, Z.
, 2014
, “Heat Transfer Characteristics Based on Microlayer Structure in Nucleate Pool Boiling for Water and Ethanol
,” Int. J. Heat Mass Transfer
, 68
, pp. 479
–488
.37.
Chen
, Z.
, and Utaka
, Y.
, 2015
, “On Heat Transfer and Evaporation Characteristics in the Growth Process of a Bubble With Microlayer Structure During Nucleate Boiling
,” Int. J. Heat Mass Transfer
, 81
, pp. 750
–759
.38.
Chen
, Z.
, Haginiwa
, A.
, and Utaka
, Y.
, 2017
, “Detailed Structure of Microlayer in Nucleate Pool Boiling for Water Measured by Laser Interferometric Method
,” Int. J. Heat Mass Transfer
, 108
(Pt. B
), pp. 1285
–1291
.39.
Schrage
, R. W.
, 1953
, A Theoretical Study of Interphase Mass Transfer
, Columbia University Press
, New York
.40.
Derjaguin
, D.
, Nerpin
, S.
, and Churayev
, N.
, 1965
, “Effect of Film Transfer Upon Evaporation of Liquids From Capillaries
,” Bull. Rilem.
, 29
, pp. 93–98.41.
Potash
, M.
, and Wayner
, P. C.
, Jr., 1972
, “Evaporation From a Two-Dimensional Extended Meniscus
,” Int. J. Heat Mass Transfer
, 15
(10
), pp. 1851
–1863
.42.
Panchamgam
, S. S.
, Plawsky
, J. L.
, and Wayner
, P. C.
, 2006
, “Microscale Heat Transfer in an Evaporating Moving Extended Meniscus
,” Exp. Therm. Fluid Sci.
, 30
(8
), pp. 745
–754
.43.
Raghupathi
, P. A.
, and Kandlikar
, S. G.
, 2016
, “Contact Line Region Heat Transfer Mechanisms for an Evaporating Interface
,” Int. J. Heat Mass Transfer
, 96
, pp. 296
–306
.44.
Kandlikar
, S. G.
, 2013
, “Controlling Bubble Motion Over Heated Surface Through Evaporation Momentum Force to Enhance Pool Boiling Heat Transfer
,” Appl. Phys. Lett.
, 102
(5
), p. 051611
.45.
Jaikumar
, A.
, and Kandlikar
, S. G.
, 2016
, “Pool Boiling Enhancement Through Bubble Induced Convective Liquid Flow in Feeder Microchannels
,” Appl. Phys. Lett.
, 108
(4
), p. 041604
.46.
Patil
, C. M.
, and Kandlikar
, S. G.
, 2014
, “Pool Boiling Enhancement Through Microporous Coatings Selectively Electrodeposited on Fin Tops of Open Microchannels
,” Int. J. Heat Mass Transfer
, 79
, pp. 816
–828
.47.
Dhir
, V. K.
, 1998
, “Boiling Heat Transfer
,” Annu. Rev. Fluid Mech.
, 30
(1
), pp. 365
–401
. Vol.48.
Dhir
, V. K.
, 2006
, “Mechanistic Prediction of Nucleate Boiling Heat Transfer-Achievable or a Hopeless Task?
,” ASME J. Heat Transfer
, 128
(1
), pp. 1
–12
.49.
Demiray
, F.
, and Kim
, J.
, 2004
, “Microscale Heat Transfer Measurements During Pool Boiling of FC-72: Effect of Subcooling
,” Int. J. Heat Mass Transfer
, (14–16
), pp. 3257
–3268
.50.
Jung, S., and Kim, H., 2015, “
An Experimental Study on Heat Transfer Mechanisms in the Microlayer Using Integrated Total Reflection, Laser Interferometry and Infrared Thermometry Technique
,” Heat Transfer Eng.
, 36
(12
), pp. 1002
–1012
.51.
Jung
, S.
, and Kim
, H.
, 2018
, “Hydrodynamic Formation of a Microlayer Underneath a Boiling Bubble
,” Int. J. Heat Mass Transfer
, 120
, pp. 1229
–1240
.52.
Zhang
, Y.
, Utaka
, Y.
, and Kashiwabara
, Y.
, 2010
, “Formation Mechanism and Characteristics of a Liquid Microlayer in Microchannel Boiling System
,” ASME J. Heat Transfer
, 132
(12
), p. 122403
.53.
Sun
, Y.
, Guo
, C.
, Jiang
, Y.
, Wang
, T.
, and Zhang
, L.
, 2018
, “Transient Film Thickness and Microscale Heat Transfer During Flow Boiling in Microchannels
,” Int. J. Heat Mass Transfer
, 116
, pp. 458
–470
.54.
Voutsinos
, C. M.
, and Judd
, R. L.
, 1975
, “Laser Interferometric Investigation of the Microlayer Evaporation Phenomenon
,” ASME J. Heat Transfer
, 97
(1
), pp. 88
–92
.55.
Smirnov
, G. F.
, 1975
, “Calculation of the “Initial” Thickness of the Microlayer During Bubble Boiling
,” J. Eng. Phys.
, 28
(3
), p. 369
.56.
Betz
, A. R.
, Jenkins
, J.
, Kim
, C. J.
, and Attinger
, D.
, 2013
, “Boiling Heat Transfer on Superhydrophilic, Superhydrophobic, and Superbiphilic Surfaces
,” Int. J. Heat Mass Transfer
, 57
(2
), pp. 733
–741
.57.
Ahn
, H. S.
, Lee
, C.
, Kim
, J.
, and Kim
, M. H.
, 2012
, “The Effect of Capillary Wicking Action of Micro/Nano Structures on Pool Boiling Critical Heat Flux
,” Int. J. Heat Mass Transfer
, 55
(1–3
), pp. 89
–92
.58.
Chu
, K.-H.
, Enright
, R.
, and Wang
, E. N.
, 2012
, “Structured Surfaces for Enhanced Pool Boiling Heat Transfer
,” Appl. Phys. Lett.
, 100
(24
), p. 241603
.59.
Rahman
, M. M.
, Olceroglu
, E.
, and McCarthy
, M.
, 2014
, “Role of Wickability on the Critical Heat Flux of Structured Superhydrophilic Surfaces
,” Langmuir
, 30
(37
), pp. 11225
−–11234
.60.
Kim
, D. E.
, Yu
, D. I.
, Jerng
, D. W.
, Kim
, M. H.
, and Ahn
, H. S.
, 2015
, “Review of Boiling Heat Transfer Enhancement on Micro/Nanostructured Surfaces
,” Exp. Therm. Fluid Sci.
, 66
, pp. 171
–196
.61.
Zou
, A.
, and Maroo
, S. C.
, 2013
, “Critical Height of Micro/Nano Structures for Pool Boiling Heat Transfer Enhancement
,” Appl. Phys. Lett.
, 103
(22
), p. 221602
.62.
Raghupathi
, P. A.
, and Kandlikar
, S. G.
, 2017
, “Pool Boiling Enhancement Through Contact Line Augmentation
,” Appl. Phys. Lett.
, 110
(20
), p. 204101
.63.
Rahman
, M. M.
, Pollack
, J.
, and McCarthy
, 2015
, “Increasing Boiling Heat Transfer Using Low Conductivity Materials
,” Sci. Rep.
, 5
, p. 13145.64.
Liang
, Z.
, Biben
, T.
, and Keblinski
, 2017
, “Molecular Simulation of Steady-State Evaporation and Condensation: Validity of Schrage Relationships
,” Int. J. Heat Mass Transfer
, 114
, pp. 105
–114
.65.
Kemme
, J. E.
, 1969
, “Ultimate Heat-Pipe Performance
,” IEEE Trans. Electron Devices
, ED-16
(8
), pp. 717
–723
.66.
Busse
, C. A.
, 1973
, “Theory of the Ultimate Heat Pipe Limit of Cylindrical Heat Pipes
,” Int. J. Heat Mass Transfer
, 16
, pp. 109
–186
.67.
Collingham
, R. E.
, and Firey
, J. C.
, 1963
, “Velocity of Sound Measurements in Wet Steam
,” IEC Process Des. Dev.
, 2
(3
), pp. 197
–202
.68.
Del Grosso
, V. A.
, and Mader
, C. W.
, 1972
, “Speed of Sound in Pure Water
,” J. Acoust. Soc. Am.
, 52
(5B
), pp. 1442
–1446
.69.
Lubbers
, J.
, and Graaf
, R.
, 1998
, “A Simple and Accurate Formula for the Sound Velocity in Water
,” Ultrasound Med. Biol.
, 24
(7
), pp. 1065
–1068
.70.
Pais
, M. R.
, Chow
, L. C.
, and Mahefkey
, 1992
, “Surface Roughness and Its Effects on the Heat Transfer Mechanism in Spray Cooling
,” ASME J. Heat Transfer
, 114
(1
), pp. 211
–219
.71.
Protich
, Z.
, Santhanam
, K. S. V.
, Jaikumar
, A.
, Kandlikar
, S. G.
, and Wong
, P.
, 2016
, “Electrochemical Deposition of Copper in Graphene Quantum Dot Bath: Pool Boiling Enhancement
,” J. Electrochem. Soc.
, 163
(6
), pp. E166
–E172
.72.
Jaikumar
, A.
, Gupta
, A.
, Kandlikar
, S. G.
, Yang
, C. Y.
, and Su
, C. Y.
, 2017
, “Scale Effects of Graphene and Graphene Oxide Coatings on Pool Boiling Enhancement Mechanisms
,” Int. J. Heat Mass Transfer
, 109
, pp. 357
–366
.73.
Jaikumar
, A.
, Gupta
, A.
, and Kandlikar
, S. G.
, 2017
, “Microscale Morphology Effects of Copper-Graphene Oxide Coatings on Pool Boiling Characteristics
,” ASME J. Heat Transfer
, 139
(11
), p. 111509
.74.
Jaikumar
, A.
, and Kandlikar
, S. G.
, 2017
, “Coupled Motion of Contact Line on Nanoscale Chemically Heterogeneous Surfaces for Improved Bubble Dynamics in Boiling
,” Sci. Rep.
, 7
, pp. 1
–10
.75.
Kim
, D. E.
, Song
, J.
, and Kim
, H.
, 2016
, “Simultaneous Observation of Dynamics and Thermal Evolution of Irreversible Dry Spot at Critical Heat Flux in Pool Boiling
,” Int. J. Heat Mass Transfer
, 99
, pp. 409
–424
.76.
Lay
, J. H.
, and Dhir
, V. K.
, 1995
, “Shape of a Vapor Stem During Nucleate Boiling of Saturated Liquids
,” ASME J. Heat Transfer
, 117
(2
), pp. 394
–401
.77.
Kandlikar
, S. G.
, 2001
, “A Theoretical Model to Predict Pool Boiling CHF Incorporating Effects of Contact Angle and Orientation
,” ASME J. Heat Transfer
, 123
(6
), pp. 1071
–1079
.78.
Jaikumar
, A.
, and Kandlikar
, S. G.
, 2017
, “Pool Boiling Inversion Through Bubble Induced Macroconvection
,” Appl. Phys. Lett
, 110
(9
), p. 094107
.79.
Hayes
, A.
, Raghupathi
, P. A.
, Emery
, T. S.
, and Kandlikar
, S. G.
, 2018
, “Regulating Flow of Vapor to Enhance Pool Boiling
,” Appl. Therm. Eng.
, 149
, pp. 1044
–1051
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