THERMAL SCIENCE

International Scientific Journal

Xinpeng Xiao

,

Xiaojing Ma

,

Kari Tusongjiang

,

Qiang Xu

,

Mengyao Fan

NUMERICAL SIMULATION OF DROPLET EVAPORATION BASED ON THE SMOOTHED PARTICLE HYDRODYNAMICS METHOD

ABSTRACT
Based on the smoothed particle hydrodynamics method, a numerical model of smoothed particle hydrodynamics in multi-phase flow evaporation accompanied with heat and mass transfer has been established, and phase transition of droplet evaporation is simulated. In this paper, an smoothed particle hydrodynamics mass transfer equation of gas phase in evaporation are proposed based on Fick’s law. In order to solve the problem of large mass difference of particles at the phase interface during evaporation, the particle splitting and merging techniques are introduced, and the tensile instability of particles during the splitting and merging is weakened by artificial stress. Besides, by adding the surface tension model, the mutual penetration of particles at the gas-liquid interface is effectively prevented. On this basis, the evaporation of single droplet and interacting droplets without gravity is simulated. The results show that the evaporation time of single droplet in this study conforms to D2 law and is within the theoretical range. There is a great influence between interacting droplets in the process of evaporation. Only when dimensionless number C (droplet spacing/droplet diameter) is larger than eight, the influence between droplets can be approximately ignored.
KEYWORDS
SPH, droplet evaporation, interacting droplets, particle splitting technique, particle merging technique, surface tension
PAPER SUBMITTED: 2023-03-11
PAPER REVISED: 2023-04-21
PAPER ACCEPTED: 2023-04-22
PUBLISHED ONLINE: 2023-05-13
DOI REFERENCE: https://doi.org/10.2298/TSCI230311101X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 5, PAGES [3745 - 3756]
REFERENCES
  1. Godsave, G. A. E., Studies of the Combustion of Drops in A Fuel Spray - The Burning of Single Drops of Fuel, Symposium (International) on Combustion, 4 (1953), 1, pp. 818-830
  2. Spalding, D. B., The Combustion of Liquid Fuels, Symposium (International) on Combustion, 4 (1953), 1, pp. 847-864
  3. Nomura, H., et al., Experimental Study on High-Pressure Droplet Evaporation Using Microgravity Conditions, Symposium (International) on Combustion, 26 (1996), 1, pp. 1267-1273
  4. Labowsky, M., Calculation of the Burning Rates of Interacting Fuel Droplets, Combustion Science and Technology, 22 (1980), 5-6, pp. 217-226
  5. Sangiovanni, J. J., Labowsky M., Burning Times of Linear Fuel Droplet Arrays: A Comparison of Experiment and Theory, Combustion and Flame, 47 (1982), 0010-2180, pp. 15-30
  6. Marberry, M., et al., Effect of Multiple Particle Interactions on Burning Droplets, Combustion and Flame, 57 (1984), 3, pp. 237-245
  7. Castanet, G., et al., Evaporation of Closely-Spaced Interacting Droplets Arranged in a Single Row, International Journal of Heat and Mass Transfer, 93 (2016), 0017-9310, pp. 788-802
  8. Chiang, C. H., Sirignano, W. A., Interacting, Convecting, Vaporizing Fuel Droplets with Variable Properties, International Journal of Heat and Mass Transfer, 36 (1993), 4, pp. 875-886
  9. Tanguy, S., et al., A Level Set Method for Vaporizing Two-Phase Flows, Journal of Computational Physics, 221 (2007), 2, pp. 837-853
  10. Safari, H., et al., Consistent Simulation of Droplet Evaporation Based on the Phase-Field Multi-Phase Lattice Boltzmann Method, Physical Review E, 90 (2014), 3, 033305
  11. Safari, H., et al., Extended Lattice Boltzmann Method for Numerical Simulation of Thermal Phase Change in Two-Phase Fluid-Flow, Physical Review E, 88 (2013), 1, 013304
  12. Nikolopoulos, N., et al., A Numerical Investigation of the Evaporation Process of a Liquid Droplet Impinging on a Hot Substrate, International Journal of Heat and Mass Transfer, 50 (2007), 1-2, pp. 303-319
  13. Tonini, S., Cossali, G. E., A Multi-Component Drop Evaporation Model Based on Analytical Solution of Stefan-Maxwell Equations, International Journal of Heat and Mass Transfer, 92 (2016), 0017-9310, pp. 184-189
  14. Monaghan, J. J., Smoothed Particle Hydrodynamics, Annual Reviews of Astronomy and Astrophysics, 30 (1992), pp. 543-574
  15. Monaghan, J. J., et al., Solidification Using Smoothed Particle Hydrodynamics, Journal of Computational Physics, 206 (2005), 2, pp. 684-705
  16. Zhang, B. W., et al., Numerical Simulation of Droplet Impinging Icing Process on a Low Temperature Wall with Smoothed Particle Hydrodynamics Method, Thermal Science, 26 (2022), 4B, pp. 3373-3385
  17. Yang, X. F., Kong, S. C., Smoothed Particle Hydrodynamics Method for Evaporating Multi-Phase Flows, Physical Review E., 96 (2017), 3, 033309
  18. Wang, D. D., et al., Numerical Simulation of Droplet Evaporation Based on Smooth Particle Fluid Dynamics Method (in Chinese), Journal Of Propulsion Technology, 42 (2021), 02, pp. 382-394
  19. Li, L. H., et al., The SPH-ASR Study of Drop Impact on a Heated Surface with Consideration of Inclined Angle and Evaporation, Engineering Analysis with Boundary Elements, 141 (2022), 0955-7997, pp. 235-249
  20. Cleary, P. W., Modelling Confined Multi-Material Heat and Mass-Flows Using SPH, Applied Mathematical Modelling, 22 (1998), 12, pp. 981-993
  21. Yan S. L., et al., Study on the Flow and Heat Transfer of Water Droplets Hitting a Constant Temperature Wall Based on Sph Method (in Chinese), Energy Engineering, 01 (2018), pp. 1-8
  22. Morris, J. P., Simulating Surface Tension with Smoothed Particle Hydrodynamics, International Journal for Numerical Methods in Fluids, 33 (2000), 3, pp. 333-353
  23. Qiang, H. F., et al., Numerical Simulation of 2-D Droplet Vollision Based on SPH Method of Multi-Phase Flow with Large Density Difference (in Chinese), Acta Physica Sinica, 62 (2013), 21, 214701
  24. Bonet, J., Lok, T. S. L., Variational and Momentum Preservation Aspects of Smooth Particle Hydrodynamic Formulations, Computer Methods in Applied Mechanics and Engineering, 180 (1999), 1-2, pp. 97-115
  25. Turns, S. R., Introduction Combustion, McGraw-Hill Companies, New York, USA, 1996
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Numerical simulation of droplet evaporation based on the smoothed particle hydrodynamics method

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence