International Scientific Journal


This paper reviews the current status of boiling heat transfer modelling, discusses the need for its improvement due to unresolved intriguing experimental findings and emergence of novel technical applications and outlines the directions for an advanced modelling approach. The state-of-the-art of computational boiling heat transfer studies is given for: macro-scale boiling models applied in two-fluid liquid-vapour interpenetrating media approach, micro-, meso-scale boiling computations by interface capturing methods, and nano-scale boiling simulations by molecular dynamics tools. Advantages, limitations and shortcomings of each approach, which originate from its grounding formulations, are discussed and illustrated on results obtained by the boiling model developed in our research group. Based on these issues, we stress the importance of adaptation of a multi-scale approach for development of an advanced boiling predictive methodology. A general road-map is outlined for achieving this challenging goal, which should include: improvement of existing methods for computation of boiling on different scales and development of conceptually new algorithms for linking of individual scale methods. As dramatically different time steps of integration for different boiling scales hinder the application of full multi-scale methodology on boiling problems of practical significance, we emphasise the importance of development of another algorithm for the determination of sub-domains within a macro-scale boiling region, which are relevant for conductance of small-scale simulations.
PAPER REVISED: 2018-07-26
PAPER ACCEPTED: 2018-08-20
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  1. Mackenzie, D. S., History of Quenching, International Heat Treatment and Surface Engineering 2 (2008) pp. 68-73
  2. Riznic, J., Introduction to Steam Generators - from Heron of Alexandria to Nuclear Power Plants: Brief History and Literature Survey, in Steam Generators for Nuclear Power Plants, Editor: J. Riznic, Elsevier Science (2017)
  3. Leidenfrost, J.G., A Tract About Some Qualities of Common Water (translation by C. Wares in Journal of Heat and Mass Transfer 9 (1966) pp. 1153-1166)
  4. Nukiyama, S., The Maximum and Minimum Values of the Heat Transmitted from Metal to Boiling Water under Atmospheric Pressure, Journal of Japan Society of Mechanical Engineers 37 (1934) pp. 367-374 (translation by C.J. Lee in International Journal of Heat and Mass Transfer 9 (1966) pp. 1419-1433)
  5. Clark, H.B., Strenge, P.S., Westwater, J.W., Active Sites of Nucleate Boiling, Chemical Engineering Progress Symposium Series 55 (1959) pp.103-110
  6. Bankoff, S.G., Entrapment of Gas in the Spreading of Liquid Over a Rough Surface, AIChE Journal 4 (1958) pp. 24-26
  7. Griffith P. and Wallis J.D., The Role of Surface Conditions in Nucleate Boiling, Chemical Engineering Progress Symposium Series 56 (1960) pp.49-63
  8. Wang, C.H. and Dhir, V.K., Effect of Surface Wettability on Active Nucleation Site Density During Pool Boiling of Water on Vertical Surface, Journal of Heat Transfer 115 (1993) pp. 659-669
  9. Theofanous, T.G., Tu, J.P., Dinh, A.T. and Dinh, T.N., The Boiling Crisis Phenomenon, Part I: Nucleation and Nucleate Boiling Heat Transfer, Experimental Thermal and Fluid Science 26 (2002) pp. 775-792
  10. Qi, Y. and Klausner, J.F., Comparison of Nucleation Site Density for Pool Boiling and Gas Nucleation, Journal of Heat Transfer 128 (2006) pp. 13-20
  11. Bon, B., Guan, C.-K. and Klausner, J.F., Heterogeneous Nucleation on Ultra Smooth Surfaces, Experimental Thermal and Fluid Science 35 (2011) pp. 746-752
  12. Chen, T., Klausner, J.F., Garimella, S.V. and Chung, J. N., Subcooled Boiling Incipience on a Highly Smooth Microheater, International Journal of Heat and Mass Transfer 49 (2006) pp. 4399-4406
  13. Al Masri, M., Cioulachtjian, S., Veillas, C., Verrier, I., Jourlin, Y., Ibrahim, Y., Martin, M., Pupier, C. and Lefèvre, F., Nucleate Boiling on Ultra-Smooth Surfaces: Explosive Incipience and Homogeneous Density of Nucleation Sites, Experimental Thermal and Fluid Science 88 (2017) pp. 24-36
  14. Spasojevic, D., Jovic, V., Jovanovic, Lj., Investigations of Heat and Mass Transfer in Two-Phase Flow in Vinca Institute of Nuclear Sciences, Termotehnika 1-2 (1995) pp. 19-38 (in Serbian)
  15. Novakovic, M. and Stefanovic, M, Boiling from a Mercury Surface, International Journal of Heat and Mass Transfer 7 (1964) pp. 801-807
  16. Stefanovic, M. and Afgan, N., Liquid Superheat for Vapour Formation With and Without Presence of Solid Surface, Desalination 10 (1972) pp. 17-26
  17. Afgan, N.H., Boiling Liquid Superheat, in Advances in Heat Transfer, vol. 11 chap. 1, Editors: T. F. Irvine Jr. and J. P. Hartnett, Academic Press, New York (1975)
  18. Ristic, M.D., The Change in Phase of a Fluid Considered as Composed of Molecule Clusters, International Journal of Heat and Mass Transfer 20 (1977) pp. 15-22
  19. Tyrrell, J.W.G. and Attard, P., Images of Nanobubbles on Hydrophobic Surfaces and Their Interactions, Physical Review Letters 87 (2001) pp. 176104
  20. Marcinichen, J.B., Olivier, J.A., Lamaison, N. and Thome, J. R., Advances in Electronics Cooling, Heat Transfer Engineering 34 (2013) pp. 434-446
  21. Karayiannis, T.G. and Mahmoud, M.M., Flow Boiling in Microchannels: Fundamentals and Applications, Applied Thermal Engineering 115 (2017) pp. 1372-1397
  22. Youchison, D.L., Ulrickson, M.A., and Bullock, J.H., Prediction of Critical Heat Flux in Water-Cooled Plasma Facing Components Using Computational Fluid Dynamics, Fusion Science and Technology 60 (2011) pp. 177-184
  23. Pandey, V., Biswas, G. and Dala, A., Saturated Film Boiling at Various Gravity Levels Under the Influence of Electrohydrodynamic Forces, Physics of Fluids 29 (2017) pp. 032104: 1-13
  24. Bowring, R.W., Physical Model Based on Bubble Detachment and Calculation of Steam Voidage in the Subcooled Region of a Heated Channel, OECD Reactor Project Report HPR-10, 1962
  25. Kurul, N. and Podowski, M.Z., On the Modelling of Multidimensional Effects in Boiling Channels, Proceedings of the 27th National Heat Transfer Conference, Minneapolis, Minnesota, USA, 1991
  26. Gu, J., Wang, Q., Wu, Y., Lyu, J., Li, S. and Yao, W., Modelling of Subcooled Boiling by Extending the RPI Wall Boiling Model to Ultra-High Pressure Conditions, Applied Thermal Engineering, 124 (2017) pp. 571-584
  27. Gilman, L. and Baglietto, E., A Self-Consistent, Physics-Based Boiling Heat Transfer Modelling Framework for Use in Computational Fluid Dynamics, International Journal of Multiphase Flow 95 (2017) pp. 35-53
  28. Sateesh, G., Das, S.K. and Balakrishnan, A.R., Analysis of Pool Boiling Heat Transfer: Effect of Bubbles Sliding on the Heating Surface, International Journal of Heat and Mass Transfer 48 (2005) pp. 1543-1553
  29. Hoang, N. H., Song, C.-H., Chu, I.-C. and Euh, D.-J., A Bubble Dynamics-based Model for Wall Heat Flux Partitioning During Nucleate Flow Boiling, International Journal of Heat and Mass Transfer 112 (2017) pp. 454-464
  30. Chu, H. and Yu, B., A New Comprehensive Model for Nucleate Pool Boiling Heat Transfer of Pure Liquid at Low to High Heat Fluxes Including CHF, International Journal of Heat and Mass Transfer 52 (2009) pp. 4203-4210
  31. Stosic, Z. and. Stevanovic, V., Three-Dimensional Numerical Simulation of Burnout on Horizontal Surface in Pool Boiling, 4th ASME/JSME Joint Fluids Engineering Conference, Honolulu, Hawaii (United States), 6-10 July 2003
  32. Pezo, M. and Stevanovic, V., Numerical Prediction of Critical Heat Flux in Pool Boiling With the Two-Fluid Model, International Journal of Heat and Mass Transfer 54 (2011) pp. 3296-3303
  33. Stojanovic, A., Stevanovic, V., Petrovic, M.M. and Zivkovic, B., Numerical Investigation of Nucleate Pool Boiling Heat Transfer, Thermal Science 20 (2016) 1301-1312
  34. Fritz, W., Evaluation of Maximal Volume of Vapour Bubble, Physikalische Zeitschrift 36 (1935) pp. 379-384 (in German)
  35. Isachenko, V.P., Osipova, V.A. and Sukomel, A.S., Heat Transfer, Mir Publisher (1980) (in Russian)
  36. Son, G., Dhir, V.K. and Ramanujapu, N., Dynamics and Heat Transfer Associated With a Single Bubble During Nucleate Boiling on a Horizontal Surface, Journal of Heat Transfer 121 (1999) pp. 623-631
  37. Son, G., Ramanujapu, N. and Dhir, V.K., Numerical Simulation of Bubble Merger Process on a Single Nucleation Site During Pool Nucleate Boiling, Journal of Heat Transfer 124 (2002) pp. 51-62
  38. Mukherjee, A. and Dhir, V.K., Study of Lateral Merger of Vapor Bubbles During Nucleate Pool Boiling, Journal of Heat Transfer 126 (2004) pp. 1023-1039
  39. Abarajith, H.S., Dhir, V.K. and Son, G., Numerical Simulation of the Dynamics of Multiple Bubble Merger During Pool Boiling Under Reduced Gravity Conditions, Multiphase Science and Technology 18 (2006) pp. 277-304
  40. Lee, W., Son, G. and Jeong, J.J., Numerical Analysis of Bubble Growth and Departure From a Microcavity, Numerical Heat Transfer Part B 58 (2010) pp. 323-342
  41. Aktinol, E. and Dhir, V.K., Numerical Simulation of Nucleate Boiling Phenomenon Coupled With Thermal Response of the Solid, Microgravity Science and Technology 24 (2012) pp. 255-265
  42. Kunkelmann, C. and Stephan, P., CFD Simulation of Boiling Flows Using the Volume-of-Fluid Method within OPEN FOAM, Numerical Heat Transfer Part A 56 (2009) pp. 631-646
  43. Tanasawa, I., Advances in Condensation Heat Transfer, in: J.P. Hartnett, T.F. Irvine (Eds.), Advances in Heat Transfer, Vol. 21, Academic Press (1991)
  44. Hardt, S. and Wondra, F., Evaporation Model for Interfacial Flows Based on a Continuum-Field Representation of the Source Terms, Journal of Computational Physics 227 (2008) pp. 5871-5895
  45. Stephan, P.C. and Busse, C.A., Analysis of the Heat Transfer Coefficient of Grooved Heat Pipe Evaporator Walls, International Journal of Heat and Mass Transfer 35 (1992) pp. 383-391
  46. Kunkelmann, C. and Stephan, P., Numerical Simulation of the Transient Heat Transfer During Nucleate Boiling of Refrigerant HFE-7100, International Journal of Refrigeration 33 (2010) pp. 1221-1228
  47. Herbert, S., Fischer, S. Gambaryan-Roisman, T. and Stephan, P., Local Heat Transfer and Phase Change Phenomena During Single Drop Impingement on a Hot Surface, International Journal of Heat and Mass Transfer 61 (2013) pp. 605-614
  48. Sielaff, A., Dietlt, J., Herbert, S. and Stephan, P., The Influence of System Pressure on Bubble Coalescence in Nucleate Boiling, Heat Transfer Engineering 35 (2014) pp. 420-429
  49. Jia, H.W., Zhang, P., Fu, X. and Jiang, S.C., A Numerical Investigation of Nucleate Boiling at a Constant Surface Temperature, Applied Thermal Engineering 88 (2015) pp. 248-257
  50. Ling, K., Li, Z.-Y. and Tao, W.-Q., A Direct Numerical Simulation for Nucleate Boiling by the VOSET Method, Numerical Heat Transfer Part A 65 (2014) pp. 949-971
  51. Ma, H.B., Cheng, P., Borgmeyer, B. and Wang, Y.X., Fluid Flow and Heat Transfer in the Evaporating Thin Film Region, Microfluidics and Nanofluidics 4 (2008) pp. 237-243
  52. Sato, Y. and Niceno, B., A Sharp-Interface Phase Change Model for a Mass-Conservative Interface Tracking Method, Journal of Computational Physics 249 (2013) pp. 127-161
  53. Lal, S., Sato, Y. and Niceno, B., Direct Numerical Simulation of Bubble Dynamics in Subcooled and Near-Saturated Convective Nucleate Boiling, International Journal of Heat and Fluid Flow 51 (2015) pp. 16-28
  54. Sato, Y. and Niceno, B., A Depletable Micro-Layer Model for Nucleate Pool Boiling, Journal of Computational Physics 300 (2015) pp. 20-52
  55. Sato, Y. and Niceno, B., Nucleate Pool Boiling Simulations Using the Interface Tracking Method: Boiling Regime from Discrete Bubble to Vapor Mushroom Region, International Journal of Heat and Mass Transfer 105 (2017) pp. 505-524
  56. Sato, Y. and Niceno, B., Pool Boiling Simulation Using an Interface Tracking Method: From Nucleate Boiling to Film Boiling Regime Through Critical Heat Flux, International Journal of Heat and Mass Transfer 125 (2018) pp. 876-890
  57. Yamamoto, T. and Matsumoto, M., Initial Stage of Nucleate Boiling: Molecular Dynamics Investigation, Journal of Thermal Science and Technology 7 (2012) pp. 334-349
  58. Novak, R.B., Maginn, E.J. and McCready, M.J., An Atomistic Simulation Study of the Role of Asperities and Indentations on Heterogeneous Bubble Nucleation, Journal of Heat Transfer 130 (2008) pp. 042411-1
  59. Maroo, S.C. and Chung, J.N., Molecular Dynamic Simulation of Platinum Heater and Associated Nano-Scale Liquid Argon Film Evaporation and Colloidal Adsorption Characteristics, Journal of Colloid and Interface Science 328 (2008) pp. 134-146
  60. Maroo, S.C. and Chung, J.N., Heat Transfer Characteristics and Pressure Variation in a Nanoscale Evaporating Meniscus, International Journal of Heat and Mass Transfer 53 (2010) pp. 3335-3345
  61. Ji, C.Y. and Yan, Y.Y., A Molecular Dynamics Simulation of Liquid-Vapour-Solid System Near Triple-Phase Contact Line of Flow Boiling in a Microchannel, Applied Thermal Engineering 28 (2008) pp. 195-202
  62. Wang, W., Zhang, H., Tian, C. and Meng, X., Numerical Experiments on Evaporation and Explosive Boiling of Ultra-thin Liquid Argon Film on Aluminum Nanostructure Substrate, Nanoscale Research Letters 10 (2015) pp. 1-14
  63. Diaz, R. and Guo, Z., A Molecular Dynamics Study of Phobic/Philic Nano-Patterning on Pool Boiling Heat Transfer, Heat Mass Transfer 53 (2017) pp. 1061-1071
  64. Mao, Y. and Zhang, Y., Molecular Dynamics Simulation on Rapid Boiling of a Water on a Hot Cooper Plate, Applied Thermal Engineering 62 (2014) pp. 607-612
  65. Fu, T., Mao, Y., Tang, Y., Zhang, Y. and Yuan, W., Effect of Nanostructure on Rapid Boiling of Water on a Hot Copper Plate: a Molecular Dynamic Study, Heat Mass Transfer 52 (2016) pp. 1469-1478
  66. Inaoka, H. and Ito, N., Numerical Simulation of Pool Boiling of a Lennard-Jones Liquid, Physica A 392 (2013) pp. 3863-3868
  67. Wang, W., Huang, S. and Luo, X., MD Simulation on Nano-scale Heat Transfer Mechanism of Sub-cooled Boiling on Nano-structured Surface, International Journal of Heat and Mass Transfer 100 (2016) pp. 276-286
  68. Toghraie Semiromi, D. and Azimian, A.R., Molecular Dynamics Simulation of Annular Flow Boiling with the Modified Lennard-Jones Potential Function, Heat Mass Transfer 48 (2012) pp. 141-152
  69. Nagayama, G., Tsuruta, T. and Cheng, P., Molecular Dynamics Simulation on Bubble Formation in a Nanochannel, International Journal of Heat and Mass Transfer 49 (2006) pp. 4437-4443
  70. Dong, T., Yang, Z. and Wu, H., Molecular Simulations of R141b Boiling Flow in Micro/Nano Channel: Interfacial Phenomena, Energy Conversion and Management 47 (2006) pp. 2178-2191
  71. Theofanous, T.G. , Dinh, T.N., Tu, J.P. and. Dinh, A.T, The Boiling Crisis Phenomenon, Part II: Dryout Dynamics and Burnout, Experimental Thermal and Fluid Science 26 (2002) pp. 793-810
  72. Mao, Y., Zhang, B., Chen, C.-L. and Zhang, Y., Hybrid Atomistic-Continuum Simulation of Nanostructure Defect-Induced Bubble Growth, Journal of Heat Transfer 139 (2017) pp. 104503-104503-5
  73. Zhang, B., Mao, Y., Chen, L.-C. and Zhang, Y., Hybrid Atomistic-Continuum Simulation of Nucleate Boiling with a Domain Re-Decomposition Method, Numerical Heat Transfer, Part B: Fundamentals 71 (2017) pp. 217-235
  74. Weinan, E., Engquist, B., Li, X., Ren, W. and Vanden-Eijnden, E., Heterogeneous Multiscale Methods: A Review, Communications in Computational Physics 2 (2007) pp. 367-450

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