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Effect of phase change on jet atomization: a direct numerical simulation study

Published online by Cambridge University Press:  26 January 2022

Xinxin Gao ,
Jianye Chen Open the ORCID record for Jianye Chen [Opens in a new window] ,
Yinan Qiu ,
Yue Ding  and
Junlong Xie
Xinxin Gao
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China
Jianye Chen*
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China
Yinan Qiu
Affiliation:
State Key Laboratory of Technologies in Space Cryogenic Propellants, Beijing 100028, PR China
Yue Ding
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China
Junlong Xie
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China
*
†Email address for correspondence: [email protected]
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Abstract

Atomization is often accompanied by phase change, which could significantly affect performance parameters such as the cooling efficiency and combustion efficiency of atomization. Nevertheless, the effect of phase change on jet atomization is rarely numerically studied due to the complexity of the coupling of the aerodynamics and the thermodynamics as well as the modelling difficulty caused by the cross-scale flow. In this study, comprehensive direct numerical simulations were carried out to evaluate the effects of phase change on the primary breakup and secondary atomization. Two methods dealing with phase-interface movement and mass transfer across the interface are built to meet the requirements of different modelling scales and Weber numbers. Simulation results indicate that phase change affects the flow behaviours and volume distribution of broken droplets in the primary breakup. In the secondary atomization, phase change leads to significantly different deforming morphologies of droplets with low Weber number and a more thorough breakup of droplets with high Weber number.

JFM classification

Drops and Bubbles: Aerosols/atomization Mathematical Foundations: Computational methods Multiphase and Particle-laden Flows: Gas/liquid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 935 , 25 March 2022 , A16
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

Agarwal, A. & Trujillo, M.F. 2018 A closer look at linear stability theory in modeling spray atomization. Intl J. Multiphase Flow 109, 1–13.CrossRefGoogle Scholar
Anez, J., Ahmed, A., Hecht, N., Duret, B., Reveillon, J. & Demoulin, F.X. 2019 Eulerian–Lagrangian spray atomization model coupled with interface capturing method for diesel injectors. Intl J. Multiphase Flow 113, 325–342.CrossRefGoogle Scholar
Aulisa, E., Manservisi, S., Scardovelli, R. & Zaleski, S. 2007 Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry. J. Comput. Phys. 225, 2301–2319.CrossRefGoogle Scholar
Cao, X., Sun, Z., Li, W., Liu, H. & Yu, Z. 2007 A new breakup regime of liquid drops identified in a continuous and uniform air jet flow. Phys. Fluids 19, 057103.CrossRefGoogle Scholar
Chai, M., Luo, K., Shao, C., Wang, H. & Fan, J. 2018 A coupled vaporization model based on temperature/species gradients for detailed numerical simulations using conservative level set method. Intl J. Heat Mass Transfer 127, 743–760.CrossRefGoogle Scholar
Dai, Z. & Faeth, G.M. 2001 Temporal properties of secondary drop breakup in the multimode breakup regime. Intl J. Multiphase Flow 27, 217–236.CrossRefGoogle Scholar
Flock, A.K., Guildenbecher, D.R., Chen, J., Sojka, P.E. & Bauer, H.J. 2012 Experimental statistics of droplet trajectory and air flow during aerodynamic fragmentation of liquid drops. Intl J. Multiphase Flow 47, 37–49.CrossRefGoogle Scholar
Fuster, D., Bagué, A., Boeck, T., Le Moyne, L., Leboissetier, A., Popinet, S., Ray, P., Scardovelli, R. & Zaleski, S. 2009 Simulation of primary atomization with an octree adaptive mesh refinement and VOF method. Intl J. Multiphase Flow 35, 550–565.CrossRefGoogle Scholar
Georgoulas, A., Andredaki, M. & Marengo, M. 2017 An enhanced VOF method coupled with heat transfer and phase change to characterise bubble detachment in saturated pool boiling. Energies 10, 272.CrossRefGoogle Scholar
Gibou, F., Chen, L., Nguyen, D. & Banerjee, S. 2007 A level set based sharp interface method for the multiphase incompressible Navier–Stokes equations with phase change. J. Comput. Phys. 222, 536–555.CrossRefGoogle Scholar
Gordillo, J.M., Pérez-Saborid, M. & Gañán-Calvo, A.M. 2001 Linear stability of co-flowing liquid–gas jets. J. Fluid Mech. 448, 23–51.CrossRefGoogle Scholar
Hardt, S. & Wondra, F. 2008 Evaporation model for interfacial flows based on a continuum-field representation of the source terms. J. Comput. Phys. 227, 5871–5895.CrossRefGoogle Scholar
Heindel, T.T. 2018 X-ray imaging techniques to quantify spray characteristics in the near field. Atom. Spray 28, 1029–1059.CrossRefGoogle Scholar
Herrmann, M. 2011 On simulating primary atomization using the refined level set grid method. Atom. Spray 21, 283–301.Google Scholar
Hoyas, S., Gil, A., Margot, X., Khuong-Anh, D. & Ravet, F. 2013 Evaluation of the Eulerian–Lagrangian Spray Atomization (ELSA) model in spray simulations: 2D cases. Math. Comput. Model. 57, 1686–1693.CrossRefGoogle Scholar
Hsiang, L.P. & Faeth, G.M. 1995 Drop deformation and breakup due to shock wave and steady disturbances. Intl J. Multiphase Flow 21, 545–560.CrossRefGoogle Scholar
Huang, J. & Zhao, X. 2019 Numerical simulations of atomization and evaporation in liquid jet flows. Intl J. Multiphase Flow 119, 180–193.CrossRefGoogle Scholar
Ibrahim, E.A., Yang, H.Q. & Przekwas, A.J. 1993 Modeling of spray droplets deformation and breakup. J. Propul. Power 9, 651–654.CrossRefGoogle Scholar
Jain, S.S., Tyagi, N., Prakash, R.S., Ravikrishna, R.V. & Tomar, G. 2019 Secondary breakup of drops at moderate Weber numbers: effect of density ratio and Reynolds number. Intl J. Multiphase Flow 117, 25–41.CrossRefGoogle Scholar
Jalaal, M. & Mehravaran, K. 2012 Fragmentation of falling liquid droplets in bag breakup mode. Intl J. Multiphase Flow 47, 115–132.CrossRefGoogle Scholar
Jarrahbashi, D. & Sirignano, W.A. 2014 Vorticity dynamics for transient high-pressure liquid injection. Phys. Fluids 26, 101304.CrossRefGoogle Scholar
Jeon, S., Kim, S. & Park, G. 2011 Numerical study of condensing bubble in subcooled boiling flow using volume of fluid model. Chem. Engng Sci. 66, 5899–5909.CrossRefGoogle Scholar
Johansen, H. & Colella, P. 1998 A cartesian grid embedded boundary method for Poisson's equation on irregular domains. J. Comput. Phys. 147, 60–85.CrossRefGoogle Scholar
Khare, P., Ma, D., Chen, X. & Yang, V. 2013 Phenomenology of secondary breakup of Newtonian liquid droplets. In 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, AIAA Paper 2012-0171.Google Scholar
Lebas, R., Beau, P., Blokkeel, G. & Demoulin, F. 2006 ELSA model for atomization: to benefit of the eulerian and lagrangian descriptions of the liquid phase. In Proceedings of the ASME 2006 2nd Joint U.S.–European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering, vol. 1, Symposia, Parts A and B. Miami, ASME, FL, USA (July 17–20, 2006), pp. 565–572.Google Scholar
Lee, M.S., Riaz, A. & Aute, V. 2017 Direct numerical simulation of incompressible multiphase flow with phase change. J. Comput. Phys. 344, 381–418.CrossRefGoogle Scholar
Lin, S.P. & Lian, Z.W. 1990 Mechanisms of the breakup of liquid jets. AIAA J. 28, 120–126.CrossRefGoogle Scholar
Linne, M., Paciaroni, M., Hall, T. & Parker, T. 2006 Ballistic imaging of the near field in a diesel spray. Exp. Fluids 40, 836–846.CrossRefGoogle Scholar
Liu, X., Xue, R., Ruan, Y., Chen, L., Zhang, X. & Hou, Y. 2017 Effects of injection pressure difference on droplet size distribution and spray cone angle in spray cooling of liquid nitrogen. Cryogenics 83, 57–63.CrossRefGoogle Scholar
Magdelaine, Q. 2019 a Quentin's sandbox in Basiliak. Available at: http://basilisk.fr/sandbox/qmagdelaine/phase_change/.Google Scholar
Magdelaine, Q. 2019 b Hydrodynamics of heterogeneous liquid films. University Sorbonne.Google Scholar
Malan, L. 2018 Direct numerical simulation of free-surface and interfacial flow using the VOF method: cavitating bubble clouds and phase change. PhD Thesis, University of Cape Town.Google Scholar
O'Rourke, P.J. & Amsden, A.A. 1987 The tab method for numerical calculation of spray droplet breakup. SAE Tech. Paper 872089.CrossRefGoogle Scholar
Pan, L., Tan, Z., Chen, D. & Xue, L. 2012 Numerical investigation of vapor bubble condensation characteristics of subcooled flow boiling in vertical rectangular channel. Nucl. Engng Des. 248, 126–136.CrossRefGoogle Scholar
Patterson, M.A. & Reitz, R.D. 1998 Modeling the effects of fuel spray characteristics on diesel engine combustion and emission. SAE Trans. 27–43.Google Scholar
Popinet, S. 2003 Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries. J. Comput. Phys. 190, 572–600.CrossRefGoogle Scholar
Popinet, S. 2009 An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 228, 5838–5866.CrossRefGoogle Scholar
Reitz, R. 1987 Modeling atomization processes in high-pressure vaporizing sprays. Atomiz. Spray Technol. 3, 309–337.Google Scholar
Rueda Villegas, L., Alis, R., Lepilliez, M. & Tanguy, S. 2016 A ghost fluid/level set method for boiling flows and liquid evaporation: application to the Leidenfrost effect. J. Comput. Phys. 316, 789–813.CrossRefGoogle Scholar
Salvador, F.J., Ruiz, S., Crialesi-Esposito, M. & Blanquer, I. 2018 Analysis on the effects of turbulent inflow conditions on spray primary atomization in the near-field by direct numerical simulation. Intl J. Multiphase Flow 102, 49–63.CrossRefGoogle Scholar
Sato, Y. & Ničeno, B. 2013 A sharp-interface phase change model for a mass-conservative interface tracking method. J. Comput. Phys. 249, 127–161.CrossRefGoogle Scholar
Scardovelli, R. & Zaleski, S. 1999 Direct numerical simulation of free-surface and interfacial flow. Annu. Rev. Fluid Mech. 31, 567–603.CrossRefGoogle Scholar
Scardovelli, R. & Zaleski, S. 2000 Analytical relations connecting linear interfaces and volume fractions in rectangular grids. J. Comput. Phys. 164, 228–237.CrossRefGoogle Scholar
Scriven, L.E. 1959 On the dynamics of phase growth. Chem. Engng Sci. 10, 1–13.CrossRefGoogle Scholar
Shao, C., Luo, K. & Fan, J. 2017 Detailed numerical simulation of unsteady drag coefficient of deformable droplet. Chem. Engng J. 308, 619–631.CrossRefGoogle Scholar
Shinjo, J. & Umemura, A. 2010 Simulation of liquid jet primary breakup: dynamics of ligament and droplet formation. Intl J. Multiphase Flow 36, 513–532.CrossRefGoogle Scholar
Shinjo, J. & Umemura, A. 2011 a Surface instability and primary atomization characteristics of straight liquid jet sprays. Intl J. Multiphase Flow 37, 1294–1304.CrossRefGoogle Scholar
Shinjo, J. & Umemura, A. 2011 b Detailed simulation of primary atomization mechanisms in diesel jet sprays (isolated identification of liquid jet tip effects). Proc. Combust. Inst. 33, 2089–2097.CrossRefGoogle Scholar
Tanguy, S., Ménard, T. & Berlemont, A. 2007 A level set method for vaporizing two-phase flows. J. Comput. Phys. 221, 837–853.CrossRefGoogle Scholar
Tavangar, S., Hashemabadi, S.H. & Saberimoghadam, A. 2015 CFD simulation for secondary breakup of coal–water slurry drops using OpenFOAM. Fuel Process. Technol. 132, 153–163.CrossRefGoogle Scholar
Turns, S.R. 1996 An Introduction to Combustion—Concepts and Application. McGraw-Hill.Google Scholar
Wadhwa, A.R., Magi, V. & Abraham, J. 2007 Transient deformation and drag of decelerating drops in axisymmetric flows. Phys. Fluids 19, 113301.CrossRefGoogle Scholar
Wang, Z., Li, Y., Wang, C., Xu, H. & Wyszynski, M.L. 2016 Experimental study on primary breakup of diesel spray under cold start conditions. Fuel 183, 617–626.CrossRefGoogle Scholar
Wang, Y. & Yang, V. 2019 Vaporization of liquid droplet with large deformation and high mass transfer rate, I: constant-density, constant-property case. J. Comput. Phys. 392, 56–70.CrossRefGoogle Scholar
Welch, S.W.J. & Wilson, J. 2000 A volume of fluid based method for fluid flows with phase change. J. Comput. Phys. 160, 662–682.CrossRefGoogle Scholar
Weymouth, G.D. & Yue, D.K.P. 2010 Conservative volume-of-fluid method for free-surface simulations on Cartesian-grids. J. Comput. Phys. 229, 2853–2865.CrossRefGoogle Scholar
Yang, H.Q. 1992 Asymmetric instability of a liquid jet. Phys. Fluids A: Fluid Dyn. 4, 681–689.CrossRefGoogle Scholar
Yang, W., Jia, M., Sun, K. & Wang, T. 2016 Influence of density ratio on the secondary atomization of liquid droplets under highly unstable conditions. Fuel 174, 25–35.CrossRefGoogle Scholar
Yang, X. & Turan, A. 2017 Simulation of liquid jet atomization coupled with forced perturbation. Phys. Fluids 29, 022103.CrossRefGoogle Scholar
Zandian, A., Sirignano, W.A. & Hussain, F. 2017 Planar liquid jet: early deformation and atomization cascades. Phys. Fluids 29, 062109.CrossRefGoogle Scholar
Zandian, A., Sirignano, W.A. & Hussain, F. 2018 Understanding liquid-jet atomization cascades via vortex dynamics. J. Fluid Mech. 843, 293–354.CrossRefGoogle Scholar
Zandian, A., Sirignano, W.A. & Hussain, F. 2019 Vorticity dynamics in a spatially developing liquid jet inside a co-flowing gas. J. Fluid Mech. 877, 429–470.CrossRefGoogle Scholar

Gao et al. supplementary movie 1

Droplet deformation with low Weber number

Download Gao et al. supplementary movie 1(Video)
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Gao et al. supplementary movie 2

Secondary atomization of droplet with high Weber number

Download Gao et al. supplementary movie 2(Video)
Video 1 MB

Gao et al. supplementary movie 3

DNS modeling of primary breakup

Download Gao et al. supplementary movie 3(Video)
Video 2.1 MB