This content is not included in your SAE MOBILUS subscription, or you are not logged in.
An Analytical Energy-budget Model for Diesel Droplet Impingement on an Inclined Solid Wall
Technical Paper
2020-01-1158
ISSN: 0148-7191, e-ISSN: 2688-3627
This content contains downloadable datasets
Annotation ability available
Sector:
Language:
English
Abstract
The study of spray-wall interaction is of great importance to understand the dynamics that occur during fuel impingement onto the chamber wall or piston surfaces in internal combustion engines. It is found that the maximum spreading length of an impinged droplet can provide a quantitative estimation of heat transfer and energy transformation for spray-wall interaction. Furthermore, it influences the air-fuel mixing and hydrocarbon and particle emissions at combusting conditions. In this paper, an analytical model of a single diesel droplet impinging on the wall with different inclined angles (α) is developed in terms of βm (dimensionless maximum spreading length, the ratio of maximum spreading length to initial droplet diameter) to understand the detailed impinging dynamic process. This analytical model is built up based on the energy conservation that considers kinetic energy, gravitation energy, and surface energy before impingement, as well as viscous dissipation, gravitation energy, adhesion energy, and deformation energy after impingement. The experimental work of diesel droplet impinging on an inclined wall is performed at a certain range of the impact Weber number (We of 33 to 420) with various inclined angles (α of 0 to 45°) to study the effects of the inclined angle on the temporal evolution of the post-impingement characteristics (i.e. droplet spreading length, dynamic contact angle). The analytical model is validated and evaluated at the aforementioned experimental operating points. The validated model is further utilized to determine the transition between capillary region and kinetic region at different inclined angle of the wall.
Authors
- Jiachen Zhai - Michigan Technological University
- Nitisha Ahuja - Michigan Technological University
- Le Zhao - Michigan Technological University
- Xiucheng Zhu - Michigan Technological University
- Jeffrey Naber - Michigan Technological University
- Seong-Young Lee - Michigan Technological University
- David Markt - University of Massachusetts
- Mehdi Raessi - University of Massachusetts
- Roberto Torelli - Argonne National Laboratory
Citation
Zhai, J., Ahuja, N., Zhao, L., Zhu, X. et al., "An Analytical Energy-budget Model for Diesel Droplet Impingement on an Inclined Solid Wall," SAE Technical Paper 2020-01-1158, 2020, https://doi.org/10.4271/2020-01-1158.Data Sets - Support Documents
| Title | Description | Download |
|---|---|---|
| [Unnamed Dataset 1] | ||
| [Unnamed Dataset 2] | ||
| [Unnamed Dataset 3] |
Also In
References
- Stanton, D. and Rutland, C. , “Modeling Fuel Film Formation and Wall Interaction in Diesel Engines,” SAE Technical Paper 960628, 1996, https://doi.org/10.4271/960628.
- Drake, M., Fansler, T.D., Solomon, A.S., and Szekely, G.A. , “Piston Fuel Films as a Source of Smoke and Hydrocarbon Emissions from a Wall-Controlled Spark-Ignited Direct-Injection Engine,” SAE Technical Paper 2003-01-0547, 2003, https://doi.org/10.4271/2003-01-0547.
- Lindagren, R. and Denbratt, I. , “Influence of Wall Properties on the Characteristics of a Gasoline Spray After Wall Impingement,” SAE Technical Paper 2004-01-1951, 2004, https://doi.org/10.4271/2004-01-1951.
- Zhao, L., Ahuja, N., Zhu, X., Zhao, Z. et al. , “Splashing Criterion and Topological Features of a Single Droplet Impinging on the Flat Plate,” SAE Technical Paper 2018-01-0289, 2018, https://doi.org/10.4271/2018-01-0289.
- Zhao, L., Ahuja, N., Zhu, X., Zhao, Z. et al. , “Characterization of Impingement Dynamics of Single Droplet Impacting on a Flat Surface,” SAE Technical Paper 2019-01-0064, 2019, https://doi.org/10.4271/2019-01-0064.
- Zhao, L. , “An Experimental and Computational Study of Fuel Spray Interaction: Fundamentals and Engine Applications,” 2018.
- Lee, S. and Zhao, L. , “Droplet Impingement and Evaporation on a Solid Surface,” in Two-Phase Flow for Automotive and Power Generation Sectors, Springer, 2019, 145-183, doi:10.1007/978-981-13-3256-2_6.
- Potham, S., Zhao, L., and Lee, S. , “Numerical Study on Evaporation of Spherical Droplets Impinging on the Wall Using Volume of Fluid (VOF) Model,” SAE Technical Paper 2017-01-0852, 2017, https://doi.org/10.4271/2017-01-0852.
- Bai, C., Rusche, H., and Gosman, A.J.A. , “Modeling of Gasoline Spray Impingement,” Atomization and Sprays 12:1-3, 2002, doi:10.1615/AtomizSpr.v12.i123.10.
- Habchi, C., Foucart, H., Baritaud, T.J.O., Science, G. et al. , “Influence of the Wall Temperature on the Mixture Preparation in DI Gasoline Engines,” Oil & Gas Science and Technology, 54(2):211-222, 1999, doi:10.2516/ogst:1999017.
- Stow, C. and Hadfield, M. , “An Experimental Investigation of Fluid Flow Resulting from the Impact of a Water Drop with an Unyielding Dry Surface,” Proceedings of the Royal Society of London. A. Mathematical Physical Sciences. 373(1755):419-441, 1981, doi:10.1098/rspa.1981.0002.
- Zhu, X., Ahuja, N., Zhai, J., and Lee, S.-Y. , “Investigation of the Effects of Heat Transfer and Thermophysical Properties on Dynamics of Droplet-Wall Interaction,” SAE Technical Paper 2019-01-0296, 2019, https://doi.org/10.4271/2019-01-0296.
- Šikalo, Š., Tropea, C., and Ganić, E. , “Impact of Droplets onto Inclined Surfaces,” Journal of Colloid Interface Science 286(2):661-669, 2005, doi:10.1016/j.jcis.2005.01.050.
- Jin, Z., Zhang, H., and Yang, Z. , “The Impact and Freezing Processes of a Water Droplet on a Cold Surface with Different Inclined Angles,” International Journal of Heat and Mass Transfer. 103:886-893, 2016, doi:10.1016/j.ijheatmasstransfer.2016.08.012.
- Krasovitski, B. and Marmur, A. , “Drops Down the Hill: Theoretical Study of Limiting Contact Angles and the Hysteresis Range on a Tilted Plate,” Langmuir. 21(9):3881-3885, 2005, doi:10.1021/acs.langmuir.8b03604.
- Yonemoto, Y. and Kunugi, T. , “Analytical Consideration of Liquid Droplet Impingement on Solid Surfaces,” Scientific Reports. 7(1):2362, 2017, doi:10.1038/s41598-017-02450-4.
- Zhao, L., Moiz, A.A., Lee, S.-Y., Naber, J. et al. , “Investigation of Multi-Hole Impinging Jet High Pressure Spray Characteristics under Gasoline Engine-Like Conditions,” SAE Technical Paper 2016-01-0847, 2016, https://doi.org/10.4271/2016-01-0847.
- Saito, A. and Kawamura, K. , “Behavior of Fuel Film on a Wall at Fuel Spray Impinging,” International Journal of Fluid Mechanics Research. 24(4-6):707-715, 1997, doi:10.1615/InterJFluidMechRes.v24.i4-6.260.
- Senda, J., Ohnishi, M., Takahashi, T., Fujimoto, H. et al. , “Measurement and Modeling on Wall Wetted Fuel Film Profile and Mixture Preparation in Intake Port of SI Engine,” SAE Technical Paper 1999-01-0798, 1999, https://doi.org/10.4271/1999-01-0798.
- Rioboo, R., Tropea, C., and Marengo, M. , “Outcomes from a Drop Impact on Solid Surfaces,” Atomization Sprays. 11(2):1-12, 2001, doi:10.1615/AtomizSpr.v11.i2.40.
- Yao, S.-C. and Cai, K.Y. , “The Dynamics and Leidenfrost Temperature of Drops Impacting on a Hot Surface at Small Angles,” Experimental Thermal Fluid Science, 1(4):363-371, 1988, doi:10.1016/0894-1777(88)90016-7.
- Shirota, M., van Limbeek, M.A., Sun, C., Prosperetti, A., et al. , “Dynamic Leidenfrost Effect: Relevant Time and Length Scales,” Physical Review Letters. 116(6): 064501, 2016, doi:10.1103/PhysRevLett.116.064501.
- Chen, R. and Wang, H. , “Effects of Tangential Speed on Low-Normal-Speed Liquid Drop Impact on a Non-Wettable Solid Surface,” Experiments in Fluids. 39(4):754-760, 2005, doi:10.1007/s00348-005-0008-6.