Abstract
A new coalescence model for droplets with different mixture composition is developed and implemented in spray calculations. This model is based on an extension of Brazier-Smith et al.’s model (1972) for two colliding droplets with different densities. Based on the rotational kinetic and surface energies of a system of two droplets, coalescence efficiency for two colliding droplets with different densities is formulated. In the case of grazing collision, the effect of density of droplets is also included. The new droplet coalescence model is examined for evaporating and non-evaporating diesel sprays. Validation studies were carried out for both cases and the results were compared with available experimental data. The model shows good predictive capability and was demonstrated to improve the accuracy of multi-phase flow simulations.
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Abramzon, B. and Sirignano, W. A. (1989). Droplet vaporization model for spray combustion calculations. Int. J. Heat and Mass Transfer, 32, 1605–1618.
Amsden, A. A. (1993). KIVA-3: A KIVA Program with Block-structured Mesh for Complex Geometries. Los Alamos National Lab.
Amsden, A. A., O’Rourke, P. J. and Butler, T. D. (1989). KIVA-II: A Computer Program for Chemically Reactive Flows with Sprays. Los Alamos National Lab.
Brazier-Smith, P. R., Jennings, S. G. and Latham, J. (1972). The interaction of falling water drops: Coalescence. Proc. Royal Society of London, Series A Mathematical and Physical Science, 326, 393–408.
CHEMCAD 6.4.0.5085 (2011). http://www.chemstations.com
Engine Combustion Network Exp. Data Archive, Sandia National Laboratory (2012). http://www.sandia.gov/ecn/cvdata/targetCondition/sprayA.php http://www.sandia.gov/ecn/workshop/ECN1/SprayA.pdf
Kook, S. and Pickett, L. M. (2012). Liquid length and vapor penetration of conventional, Fischer-Tropsch, coal-derived and surrogate fuel sprays at hightemperature and high-pressure ambient conditions. Fuel, 93, 539–548.
Lee, C. S., Kim, H. J. and Park, S. W. (2004). Atomization characteristics and prediction accuracies of hybrid break-up models for a gasoline direct injection spray. J. Automobile Engineering, 18, 1177–1186.
Munnannur, A. and Reitz, R. D. (2008). A comprehensive collision model for multi-dimensional engine spray computations. ILASS Americas, 21st Annual Conf. Liquid Atomization and Spray Systems, Orlando, Florida, 18–21.
Naber, J. D. and Siebers, D. L. (1996) Effects of gas density and vaporization on penetration and dispersion of diesel sprays. SAE Paper No. 960034.
O'Rourke, P. J. and Amsden, A. A. (1987). The TAB method for numerical calculation of spray droplet breakup. SAE Paper No. 872089.
O'Rourke, P. J. and Bracco, F. V. (1980). Modeling of drop interactions in thick sprays and comparison with experiments. Stratified Charge Auto Engines Conf. 101–116.
Ra, Y. and Reitz, R. D. (2009). A vaporization model for discrete multi-component fuel sprays. Int. J. Multiphase Flow, 35, 101–117.
Reitz, R. D. (1987). Modeling atomization processes in high-pressure vaporizing sprays. Atomization and Spray Technology, 3, 309–337.
Samimi Abianeh, O. (2013). Numerical Modeling of Multicomponent Spray Evaporation Process. University of Alabama in Huntsville. 102.
Samimi Abianeh, O., Chen, C. P. and Cerro, R. L. (2012). Batch distillation: The forward and inverse problems. Ind. Eng. Chem. Res., 51, 12435–12448.
Samimi Abianeh, O., Chen, C. P. and Cerro, R. L. (2013). Mass transfer and conservation from a finite source to an infinite media. Int. J. Chemical Reactor Engineering, 1–10.
Samimi Abianeh, O., Chen, C. P. and Mahalingam, S. (2014). Numerical modeling of multi-component fuel spray evaporation process. Int. J. Heat and Mass Transfer, 69, 44–53.
Sirignano, W. A. (2010). Fluid Dynamics and Transport of Droplets and Sprays. 2nd edn. Cambridge University Press. Cambridge.
Smith, J. M., Van Ness, H. C. and Abbott, M. M. (2005). Introduction to Chemical Engineering Thermodynamics. McGraw-Hill. New York.
Som, S. (2011). Spray a Modeling. Sandia National Lab. California. ECN Workshop 1.
Som, S., Senecal, P. K. and Pomraning, E. (2012). Comparison of RANS and LES turbulence models against constant volume diesel experiments. ILASS Americas, 24th Annual Conf. Liquid Atomization and Spray Systems, San Antonio, TX.
Tang, C., Zhang, P. and Law, C. K. (2012). Bouncing, coalescence, and separation in head-on collision of unequal-size droplets. Phys. Fluids, 24.
Torres, D. J., O'Rourke, P. J. and Amsden, A. A. (2003). Efficient multicomponent fuel algorithm. Combustion Theory and Modeling, 7, 67–86.
Trinh, H. P. and Chen, C. P. (2006). Development of liquid jet atomization and breakup models including turbulence effects. Atomization and Sprays, 16, 907–932.
Wang, Y., Lee, G. L., Reitz, R. D. and Diwakar, R. (2011). Numerical simulation of diesel sprays using an eulerianlagrangian spray and atomization (ELSA) model coupled with nozzle flow. SAE Paper No. 2011-01-0386.
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Samimi Abianeh, O., Chen, C.P. & Mahalingam, S. Modeling of multi-component droplet coalescence in evaporating and non-evaporating diesel fuel sprays. Int.J Automot. Technol. 15, 1091–1100 (2014). https://doi.org/10.1007/s12239-014-0113-8
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DOI: https://doi.org/10.1007/s12239-014-0113-8