Abstract
Boiling of liquids upon impact of the spray on heated surfaces is common in many practical applications. However, a comprehensive modelling approach for these phenomena is still not available in commercial software, despite decades of experimental, theoretical, and numerical research efforts. The motivation of this paper is to clarify the state of the art on the three-dimensional (3D) simulation of the boiling of liquid films and spray droplets during their contact with hot substrates. Based on recent experimental and theoretical research, this paper proposes a set of heat transfer models for 3D simulation of spray cooling considering conjugate heat transfer (CHT). These updated models and correlations were implemented in a computational fluid dynamics (CFD) solver, which already included a classical two-phase Lagrangian–Eulerian approach and CHT modelling functionality. A detailed validation of the improved modelling proposals is performed using a unique and novel database including wall surface temperature and heat flux measurements for different flow rates and spray impact velocities. Excellent agreement with experiments was obtained for all boiling regimes using a Leidenfrost-like temperature to manage the prompt heat flux change between the film boiling regime and the transition boiling regime. Most notable are the great results produced by the recent film boiling model summarized in this article.
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References
Moreira ALN, Moita AS, Panaõ MR (2010) Advances and challenges in explaining fuel spray impingement: How much of single droplet impact research is useful? Prog Energy Combust Sci 36:554–580
Bertola V (2015) Int J Heat Mass Transf 85:430–437
O’Rourke PJ, Amsden AA (2000) A Spray/Wall Interaction Submodel for the KIVA-3 Wall Film Model. SAE Trans 109:281–298. https://doi.org/10.4271/2000-01-0271 (SAE Paper 2000–01–0271)
Bai C, Gosman A (1995) Development of Methodology for Spray Impingement Simulation. SAE Trans 104:550–568. https://doi.org/10.4271/950283 (SAE Paper 950283)
Foucart H, Habchi C, Le Coz JF, Baritaud T (1998) Development of a three-dimensional model of wall fuel liquid film for internal combustion engines. SAE Trans 107:60–73
Habchi C (2010) A comprehensive model for liquid film boiling in internal combustion engines. Oil Gas Sci Technol Revue de l’Institut Français du Pétrole 65(2):331–343. https://doi.org/10.2516/ogst/2009062
Testa P, Nicotra L (1986) Influence of pressure on the Leidenfrost temperature and on extracted heat fluxes in the transient mode and low pressure. ASME J Heat Transf 108(4):916–921
Celata GP, Cumo M, Mariani A, Zummo G (2006) Visualization of the impact of water drops on a hot surface: effect of drop velocity and surface inclination. Heat Mass Transf 42(10):885–890
Liang G, Mudawar I (2017) Review of spray cooling - Part 1: single-phase and nu- cleate boiling regimes, and critical heat flux. Int J Heat Mass Transf 115:1174–1205. https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.029
Liang G, Mudawar I (2017) Review of drop impact on heated walls. Int J Heat Mass Transf 106:103–126. https://doi.org/10.1016/j.ijheatmasstransfer.2016.10.031
Liu Y et al (2021) Evaporation time and vapor generation limit of a droplet on a hot surface. Int J Heat Mass Transf 173:121280
Hidaka S, Takata Y, Yamamoto H, Yamashita A, Ito T (2003) Wettability and droplet evaporation on plasma-irradiated metal surface. Nippon Kikai Gakkai Ronbunshu B Hen/Trans Jpn Soc Mech Eng B 69(678):437–444
Tenzer F, Roisman I, Tropea C (2019) Fast transient spray cooling of a hot thick target. J Fluid Mech 881:84–103. https://doi.org/10.1017/jfm.2019.743
Cai C, Mudawar I, Liu H, Si C (2020) Theoretical Leidenfrost point (LFP) model for sessile droplet. Int J Heat Mass Transf 146:118802. https://doi.org/10.1016/j.ijheatmasstransfer.2019.118802 (ISSN 0017–9310)
Park J, Kim H (2021) Direct-contact heat transfer of single droplets in dispersed flow film boiling: Experiment and model assessment. Nucl Eng Technol. https://doi.org/10.1016/j.net.2021.02.017
van Limbeek MAJ et al (2016) Vapour cooling of poorly conducting hot substrates increases the dynamic Leidenfrost temperature. Int J Heat Mass Transf 97:101–109
Tenzer FM, Hofmann J, Roisman IV, Tropea C (2020). Leidenfrost temperature in sprays: role of the substrate and liquid properties. https://arxiv.org/abs/2001.05426
Siemens (2018) Siemens Product Lifecycle Management Software Inc. Simcenter STAR-CCM+ Documentation, Version 13.04. https://www.plm.automation.siemens.com/global/fr/products/simcenter/STAR-CCM.html
Richards KJ, Senecal PK, Pomraning E (2020) CONVERGE 3.0. Convergent Science, Madison, WI
Kuhnke D (2004) Spray/Wall-interaction Modelling by Dimensionless Data Analysis. Shaker Verlag (Ph.D. Thesis, ISBN 3–8322–3539)
Castanet G, Chaze W, Caballina O, Collignon R, Lemoine F (2019) Drop impact in the regime of film boiling: transient evolution of the heat transfer and the vapor film thickness. In: 29th Conference on Liquid Atomization and Spray Systems. https://hal.archives-ouvertes.fr/hal-02388412/document
Breitenbach J, Roisman IV, Tropea C (2017) Heat transfer in the film boiling regime: Single drop impact and spray cooling. Int J Heat Mass Transf 110:34–42
Rohsenow WM (1952) A method of correlating heat transfer data for surface boiling liquids. J Heat Transfer 74:969–976
Lienhard JH (2011) A Heat Transfer Textbook, 4th edn. https://ahtt.mit.edu/. https://www.emse.fr/~bonnefoy/Public/MFTBibliography/Heat%20transfers%20by%20Lienhard.pdf
Lienhard JH, Dhir VK (1973) Hydrodynamic prediction of peak pool-boiling heat fluxes from finite bodies. ASME J Heat Transf 95:152–158
Börnhorst M, Kuntz C, Tischer S, Deutschmann O (2020) Urea derived deposits in diesel exhaust gas after-treatment: Integration of urea decomposition kinetics into a CFD simulation. Chem Eng Sci 211:115319
Wruck NM, Renz U (2000) Transient Phase-Change of Droplets Impacting on a Hot Wall. Wiley-VCH Verlag GmbH (ISBN 978–3–527–27149–8)
Acknowledgements
The author would like to thank Prof. Cameron Tropea, Dr. Ilia V. Roisman and Fabian M. Tenzer from the Institute for Fluid Mechanics and Aerodynamics, Technische Universität Darmstadt, Germany for providing complementary information about their experiments. Also, the author would like to thank his colleague Paul-Georgian LUCA for his help on the CONVERGE setup.
Funding
This work has been funded by IFP Energies nouvelles, Institut Carnot IFPEN Transports Energies, 1 et 4 avenue de Bois-Préau, 92852 Rueil-Malmaison, France.
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Highlights
• Clarify the state of the art on the 3D simulation of the boiling of liquid films and spray droplets during their contact with hot substrates.
• Propose updated set of heat transfer models and correlations for spray-wall interaction regimes while considering liquid film boiling and conjugate heat transfer (CHT).
• Propose a detailed analysis and experimental validation for the simulated cooling of the wall surface and the evolution of the heat flux during the impact of a spray on a heated wall.
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Habchi, C. About the 3D simulation of the boiling of liquid films and spray droplets during their contact with hot substrates. Heat Mass Transfer 58, 1913–1924 (2022). https://doi.org/10.1007/s00231-022-03222-1
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DOI: https://doi.org/10.1007/s00231-022-03222-1