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Droplet and Spray Transport: Paradigms and Applications pp 201–235Cite as

Molten Drop to Coolant Heat Transfer During Premixing of Fuel Coolant Interaction

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Part of the book series: Energy, Environment, and Sustainability ((ENENSU))

Abstract

Premixing phase is the most important stage of the postulated severe accident scenario in the molten fuel–coolant interaction (FCI) of nuclear reactor. The premixing phase of FCI phenomena is characterized by the molten fuel material coming into contact with the liquid coolant. This usually occurs in the form of jets or drops of the molten material depending on the severity of the breach of the core. In the present chapter, the mechanism of fragmentation of jet into drops and further fragmentation of the drop into tiny particles is analysed in great details. Rapid and intense heat transfer from the molten drops leads to phase change of the liquid at high temperature due to film boiling. Understanding the underlying physics of the premixing phase comprising high temperature drops in coolant is important to mitigate the severe accident possibility. Experimental and numerical works on the premixing phase and break-up of jet and drops are reviewed thoroughly in the present chapter.

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References

  • Abe Y, Matsuo E, Arai T, Nariai H, Chitose K, Koyama K, Itoh K (2006) Fragmentation behavior during molten material and coolant interactions. Nucl Eng Des 236(14):1668–1681

    Article  Google Scholar 

  • Angelini S, Yuen WW, Theofanous TG (1995) Premixing-related behavior of steam explosions. Nucl Eng Des 155(1–2):115–157

    Article  Google Scholar 

  • Angelini S, Theofanous TG, Yuen WW (1997) The mixing of particle clouds plunging into water. Nucl Eng Des 177(1):285–301

    Article  Google Scholar 

  • Bang KH, Kumar R, Kim HT (2014) Modeling corium jet breakup in water pool and application to ex-vessel fuel-coolant interaction analyses. Nucl Eng Des 276:153–161

    Article  Google Scholar 

  • Berthoud G (2000) Vapor explosions. Ann Rev Fluid Mech 32(1):573–611

    Article  Google Scholar 

  • Berthoud G, de Crecy F, Duplat F, Meignen R, Valette M (1998) Premixing of corium into water during a fuel-coolant interaction: the models used in the 3 field version of the MC3D code and two examples of validation on billeau and faro experiments. Technical report 1998

    Google Scholar 

  • Board SJ, Hall RW (1976) Recent advances in understanding large scale vapour explosions. Technical Report NEA-CSNI-R-1976-8

    Google Scholar 

  • Bouillard JX, Lyczkowski RW, Gidaspow D (1989) Porosity distributions in a fluidized bed with an immersed obstacle. AIChE J 35(6):908–922

    Article  Google Scholar 

  • Bürger M, Cho SH, Berg EV, Schatz A (1995) Breakup of melt jets as pre-condition for premixing: modeling and experimental verification. Nucl Eng Des 155(1–2):215–251

    Article  Google Scholar 

  • Burger M, Carachalios C, Kim DS, Unger H (1986) Theoretical investigations on the fragmentation of drops of melt with respect to the description of thermal detonations (vapor explosions) and their application in the code frademo. Technical report, Commission of the European Communities

    Google Scholar 

  • Cheng NS (2009) Comparison of formulas for drag coefficient and settling velocity of spherical particles. Powder Technol 189(3):395–398

    Article  Google Scholar 

  • Chu CC, Sienicki JJ, Spencer BW, Frid W, Löwenhielm G (1995) Ex-vessel melt-coolant interactions in deep water pool: studies and accident management for swedish bwrs. Nucl Eng Des 155(1):159–213

    Article  Google Scholar 

  • Davydov MV, Melikhov VI, Melikhov OI, Parfenov IV (2000) Validation of vapex code on MAGICO and queos tests. Nucl Energy Cent Eur

    Google Scholar 

  • Denham MK, Tyler AP, Fletcher DF (1994) Experiments on the mixing of molten uranium dioxide with water and initial comparisons with chymes code calculations. Nucl Eng Des 146(1):97–108

    Article  Google Scholar 

  • Dinh TN, Bui VA, Nourgaliev RR, Green JA, Sehgal BR (1999) Experimental and analytical studies of melt jet-coolant interactions: a synthesis. Nucl Eng Des 189(1):299–327

    Article  Google Scholar 

  • Drew DA, Lahey RT (1979) Application of general constitutive principles to the derivation of multidimensional two-phase flow equations. Int J Multiph Flow 5(4):243–264

    Article  Google Scholar 

  • Eggers J, Villermaux E (2008) Physics of liquid jets. Rep prog phys 71(3):036601

    Article  Google Scholar 

  • Epstein M, Hauser GM (1980) Subcooled forced-convection film boiling in the forward stagnation region of a sphere or cylinder. Int J Heat Mass Transf 23(2):179–189

    Article  Google Scholar 

  • Fard MH, Esfahany MN, Talaie MR (2010) Numerical study of convective heat transfer of nanofluids in a circular tube two-phase model versus single-phase model. Int Commun Heat Mass Transf 37(1):91–97

    Google Scholar 

  • Fletcher DF, Anderson RP (1990) A review of pressure-induced propagation models of the vapour explosion process. Prog Nucl Energy 23(2):137–179

    Article  Google Scholar 

  • Fletcher DF, Denham MK (1995) Validation of the chymes mixing model. Nucl Eng Des 155(1–2):85–96

    Article  Google Scholar 

  • Fletcher DF, Witt PJ (1996) Numerical studies of multiphase mixing with application to some small-scale experiments. Nucl Eng Des 166(2):135–145

    Article  Google Scholar 

  • Ishii M, Zuber N (1979) Drag coefficient and relative velocity in bubbly, droplet or particulate flows. AIChE J 25(5):843–855

    Article  Google Scholar 

  • Kaiser A, Schütz W, Will H (2001) PREMIX experiments PM12-PM18 to investigate the mixing of a hot melt with water, Vol 6380, FZKA

    Google Scholar 

  • Kalteh M, Abbassi A, Saffar-Avval M, Harting J (2011) Eulerian-eulerian two-phase numerical simulation of nanofluid laminar forced convection in a microchannel. Int J Heat Fluid Flow 32(1):107–116

    Article  Google Scholar 

  • Karbojian A, Ma WM, Kudinov P, Dinh TN (2009) A scoping study of debris bed formation in the defor test facility. Nucl Eng Des 239(9):1653–1659

    Article  Google Scholar 

  • Leskovar M, Mavko B (2002) Simulation of the isothermal queqs steam-explosion premixing experiment q08. Strojniski Vestnik 48(8):449–456

    Google Scholar 

  • Lu Q, Chen D, Li C (2016) Visual investigation on the breakup of high superheated molten metal during FCI process. Appl Therm Eng 98:962–975

    Article  Google Scholar 

  • Mahapatra PS, Ghosh K, Manna NK (2015) Heat transfer partitioning model of film boiling of particle cluster in a liquid pool: implementation in a CFD code. Heat Mass Transf 51(8):1149–1166

    Article  Google Scholar 

  • Mahapatra PS, Manna NK, Ghosh K (2013) Hydrodynamic and thermal interactions of a cluster of solid particles in a pool of liquid of different prandtl numbers using two-fluid model. Heat Mass Transf 49(11):1659–1679

    Article  Google Scholar 

  • Mahapatra PS, Manna NK, Ghosh K (2014) Analysis of entropy generation during the convective quenching of a cluster of balls. Numer Heat Transf Part A: Appl 66(6):689–711

    Article  Google Scholar 

  • Maitra T, Datta P, Chakravarty A, Mukhopadhyay A, Ghosh K, Sen S (2016) Numerical investigation of molten fuel jet breakup inside a liquid pool. In: ILASS-Asia 2016, 18th annual conference on liquid atomization and spray systems. Asia, Chennai, India

    Google Scholar 

  • Manickam L, Kudinov P, Ma W, Bechta S, Grishchenko D (2016) On the influence of water subcooling and melt jet parameters on debris formation. Nucl Eng Des 309:265–276

    Article  Google Scholar 

  • Matsuo E, Abe Y, Chitose K, Koyama K, Itoh K (2008) Study on jet breakup behavior at core disruptive accident for fast breeder reactor. Nucl Eng Des 238(8):1996–2004

    Article  Google Scholar 

  • Mazzei Luca, Lettieri Paola (2007) A drag force closure for uniformly dispersed fluidized suspensions. Chem Eng Sci 62(22):6129–6142

    Article  Google Scholar 

  • Meignen R, Magallon D, Bang KH, Berthoud G, Basu S, Bürger M, Buck M, Corradini ML, Jacobs H, Melikhov O et al (2005) Comparative review of fci computer models used in the oecd-serena program. Proc ICAPP 5:15–19

    Google Scholar 

  • Meyer Leo (1999) Queos an experimental investigation of the premixing phase with hot spheres. Nucl Eng Des 189(1):191–204

    Article  Google Scholar 

  • Nourgaliev RR, Dinh TN, Dinh AT, Haraldsson HO, Sehgal BR (2003) The multiphase eulerian-lagrangian transport (MELT-3d) approach for modeling of multiphase mixing in fragmentation processes. Prog Nucl Energy 42(2):123–157

    Article  Google Scholar 

  • Peng C, Tong L, Cao X (2015) A hydrodynamic fragmentation model based on boundary layer stripping. Ann Nucl Energy 80:95–100

    Article  Google Scholar 

  • Pohlner G, Vujic Z, Bürger M, Lohnert G (2006) Simulation of melt jet breakup and debris bed formation in water pools with IKEJET/IKEMIX. Nucl Eng Des 236(19):2026–2048

    Article  Google Scholar 

  • Ranz WE, Marshall WR (1952) Evaporation from drops. Chem Eng Prog 48(3):141446

    Google Scholar 

  • Schiller L, Naumann Z (1935) A drag coefficient correlation. Vdi Zeitung 77(318):51

    Google Scholar 

  • Sehgal BR et al. (2011) Nuclear safety in light water reactors: severe accident phenomenology. Academic Press

    Google Scholar 

  • Smith KM, Davidson MR, Lawson NJ (2000) Dispersion of neutrally buoyant solids falling vertically into stationary liquid and horizontal channel flow. Comput fluids 29(4):369–384

    Article  Google Scholar 

  • Sugimoto J (1995) Severe accident research activities in Japan. In: ICHMT digital library online. Begel House Inc

    Google Scholar 

  • Thakre S, Manickam L, Ma W (2015) A numerical simulation of jet breakup in melt coolant interactions. Ann Nucl Energy 80:467–475

    Article  Google Scholar 

  • Van Wachem BGM, Almstedt AE (2003) Methods for multiphase computational fluid dynamics. Chem Eng J 96(1):81–98

    Google Scholar 

Download references

Acknowledgements

Bhabha Atomic Research Centre (BARC), India, Board of Research in Nuclear Sciences (BRNS), India and Council of Scientific and Industrial Research (CSIR), India, are gratefully acknowledged for providing the partial financial support for this work. Authors also gratefully acknowledge the encouragement and constructive suggestions made by Dr. Deb Mukhopadhyay of RSD, BARC, India.

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Authors and Affiliations

  1. Department of Mechanical Engineering, IIT Madras, Chennai, 600036, India

    Pallab Sinha Mahapatra

  2. Department of Mechanical Engineering, Jadavpur University, Kolkata, 700032, India

    Priyankan Datta, Aranyak Chakravarty, Koushik Ghosh, Nirmal Kumar Manna, Achintya Mukhopadhyay & Swarnendu Sen

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  1. Pallab Sinha Mahapatra
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  2. Priyankan Datta
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  3. Aranyak Chakravarty
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  4. Koushik Ghosh
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  5. Nirmal Kumar Manna
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  6. Achintya Mukhopadhyay
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  7. Swarnendu Sen
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Corresponding author

Correspondence to Koushik Ghosh .

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Editors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Science Bangalore, Bangalore, Karnataka, India

    Saptarshi Basu

  2. Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Avinash Kumar Agarwal

  3. Department of Mechanical Engineering, Jadavpur University, Kolkata, West Bengal, India

    Achintya Mukhopadhyay

  4. Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Chetan Patel

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Mahapatra, P.S. et al. (2018). Molten Drop to Coolant Heat Transfer During Premixing of Fuel Coolant Interaction. In: Basu, S., Agarwal, A., Mukhopadhyay, A., Patel, C. (eds) Droplet and Spray Transport: Paradigms and Applications. Energy, Environment, and Sustainability. Springer, Singapore. https://doi.org/10.1007/978-981-10-7233-8_8

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  • DOI: https://doi.org/10.1007/978-981-10-7233-8_8

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  • Print ISBN: 978-981-10-7232-1

  • Online ISBN: 978-981-10-7233-8

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