Abstract
Ignition of rocket thrusters in orbit requires injection of cryogenic propellants into the combustion chamber. The chamber’s initial very low pressure leads to flash boiling that will then determine the dynamics of the spray breakup, the mixing of fuel and oxidizer, the reliability of the ignition and the subsequent combustion process. As details of the spray breakup process of cryogenic liquids under flash boiling conditions are not yet well understood, we use direct numerical simulations (DNS) to simulate the growth, coalescence and bursting of vapour bubbles in the superheated liquid that leads to the primary breakup of the liquid oxygen jet. Considering the main breakup patterns and droplet formation mechanisms for a range of conditions, we evaluate the effectiveness of the volume of fluid (VOF) method together with the continuum surface stress (CSS) model to capture the breakup of thin lamellae formed at high Weber numbers between the merging bubbles. A grid refinement study indicates convergence of the mass averaged droplet sizes towards an a priori estimated droplet diameter. The order of magnitude of this diameter can be estimated based on thermodynamic conditions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
G. Agbaglah, C. Josserand, S. Zaleski, Longitudinal instability of a liquid rim. Phys. Fluids 25(2), 022103 (2013). https://doi.org/10.1063/1.4789971
R. Bardia, M.F. Trujillo, Assessing the physical validity of highly-resolved simulation benchmark tests for flows undergoing phase change. Int. J. Multiphase Flow 112 (2018). https://doi.org/10.1016/j.ijmultiphaseflow.2018.11.018
I.H. Bell, J. Wronski, S. Quoilin, V. Lemort, Pure and pseudo-pure fluid thermophysical property evaluation and the open-source thermophysical property library coolprop. Ind. Eng. Chem. Res. 53, 2498–2508 (2014). https://doi.org/10.1021/ie4033999
R. Calay, A. Holdo, Modelling the dispersion of flashing jets using cfd. J. Hazard. Mater. 154(1–3), 1198–1209 (2008)
K. Eisenschmidt, M. Ertl, H. Gomaa, C. Kieffer-Roth, C. Meister, P. Rauschenberger, M. Reitzle, K. Schlottke, B. Weigand, Direct numerical simulations for multiphase flows: an overview of the multiphase code FS3D. J. Appl. Math. Comput. 272(2), 508–517 (2016)
M. Ertl, J. Reutzsch, A. Nägel, G. Wittum, B. Weigand, Towards the implementation of a new multigrid solver in the dns code fs3d for simulations of shear-thinning jet break-up at higher reynolds numbers, in High Performance Computing in Science and Engineering ’ 17 Springer International Publishing (2018), pp. 269–287
J.W. Gaertner, A. Rees, A. Kronenburg, J. Sender, M. Oschwald, D. Loureiro, Large eddy simulation of flashing cryogenic liquid with a compressible volume of fluid solver, in ILASS–Europe 2019, 29th Conference on Liquid Atomization and Spray Systems (2019)
H. Gomaa, B. Weigand, M. Haas, C. Munz, Direct Numerical Simulation (DNS) on the influence of grid refinement for the process of splashing, in High Performance Computing in Science and Engineering ’08 Transactions of the High Performance Computing Center, Stuttgart (HLRS) (2008), pp. 241–255
I. Karathanassis, P. Koukouvinis, M. Gavaises, Comparative evaluation of phase-change mechanisms for the prediction of flashing flows. Int. J. Multiph. Flow 95, 257–270 (2017)
B. Lafaurie, C. Nardone, R. Scardovelli, S. Zaleski, G. Zanetti, Modelling merging and fragmentation in multiphase flows with surfer. J. Comput. Phys. 113(1), 134–147 (1994)
H.S. Lee, H. Merte, Spherical vapor bubble growth in uniformly superheated liquids. Int. J. Heat Mass Transf. 39(12), 2427–2447 (1996)
M. Liu, D. Bothe: Numerical study of head-on droplet collisions at high weber numbers. J. Fluid Mech. 789, 785–805 (2016). https://doi.org/10.1017/jfm.2015.725
D. Loureiro, J. Reutzsch, D. Dietzel, A. Kronenburg, B. Weigand, K. Vogiatzaki, DNS of multiple bubble growth and droplet formation in superheated liquids, in 14th International Conference on Liquid Atomization and Spray Systems,Chicago, IL, USA (2018)
A. Prosperetti, Vapor bubbles. Ann. Rev. Fluid Mech. 49 (2017)
W.J. Rider, D.B. Kothe, Reconstructing volume tracking. J. Comput. Phys. 141(2), 112–152 (1998)
M. Rieber, Numerische modellierung der dynamik freier grenzflachen in zweiphasenstromungen. Ph.D. thesis, Universitat Stuttgart (2004)
J. Schlottke, B. Weigand, Direct numerical simulation of evaporating droplets. J. Comput. Phys. 227, 5215–5237 (2008)
R. Schmehl, J. Steelant, Computational analysis of the oxidizer preflow in an upper-stage rocket engine. J. Propul. Power 25(3), 771–782 (2009)
L. Scriven, On the dynamics of phase growth. Chem. Eng. Sci. 10(1), 1 – 13 (1959). https://doi.org/10.1016/0009-2509(59)80019-1
E. Sher, T. Bar-Kohany, A. Rashkovan, Flash-boiling atomization. Prog. Energy Combust. Sci. 34, 417–439 (2008)
Acknowledgements
The simulations presented in this work were performed on the CRAY XC40 Hazel-Hen of the High Performance Computing Center Stuttgart (HLRS). This work is part of the HAoS-ITN project and has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 675676 (DL). We also acknowledge funding by DFG through the Collaborative Research Center SFB-TRR75 (JR, AK, BW) and by the UK’s Engineering and Physical Science Research Council support through the grant EP/P012744/1 (KV).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Loureiro, D.D., Reutzsch, J., Kronenburg, A., Weigand, B., Vogiatzaki, K. (2021). Towards Full Resolution of Spray Breakup in Flash Atomization Conditions Using DNS. In: Nagel, W.E., Kröner, D.H., Resch, M.M. (eds) High Performance Computing in Science and Engineering '19. Springer, Cham. https://doi.org/10.1007/978-3-030-66792-4_15
Download citation
DOI: https://doi.org/10.1007/978-3-030-66792-4_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-66791-7
Online ISBN: 978-3-030-66792-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)