Abstract
In diesel engine sprays, smaller sized droplets aid the combustion process, thus reducing emissions. Thus, it is important for diesel engine spray models to satisfactorily represent hydrodynamic mechanisms. A further development of a diesel spray model that uses different size distribution functions has been presented. In this model transport equations are constructed to calculate three moments of the droplet size distribution, a fourth moment is calculated from a gamma size distribution function, while the results of the droplet break up process are derived from an assumed size distribution function. Together these present the complete hydrodynamics characterisation of the diesel spray. The motivation for using different size distributions is to reduce the complexity of the spray modelling process and reduce the computational expense. The model has been applied to high-pressure diesel spray cases with the experimental data characterised by diesel spray penetration at different injection pressure values. The results from the model indicate that diesel spray penetration is over predicted at the start of injection but this improves as the fuel injection progresses.
F2012-A02-011
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Abbreviations
- n(r):
-
Number size distribution
- Q:
-
Droplet moment
- Q0 :
-
Total number
- Q1 :
-
Sum of radii, m
- Q2 :
-
Sum of squares of radii, m 2
- Q3 :
-
Sum of cubes of radii, m 3
- r:
-
Radius, m
- t:
-
Time, s
- U:
-
Velocity, ms −1
- x:
-
Coordinate direction, m
- Greek Symbols :
-
 
- \( \varepsilon \) :
-
Dissipation Rate, m 2 s −3
- \( \alpha \) :
-
Nondimensional size parameter
- Subscripts :
-
 
- 32:
-
Sauter mean
- i:
-
Moment index
- i, j:
-
Velocity component
- l:
-
Liquid
- Acronyms :
-
 
- DDM:
-
Discrete droplet model
References
Dukowicz JK (1980) A particle-fluid numerical model for liquid sprays. J Comput Phys 35(2):229–233
Gosman AD, Johns RJR (1980) Computer analysis of fuel-air mixing in direct injection engines. SAE Paper 800091
Emekwuru NG (2012) A number size distribution moment based solid cone diesel spray: assessment of droplet breakup models based on different distribution functions. SAE Paper 2012-01-1260
Hiroyasu H, Kadota T (1974) Fuel droplet size distribution in diesel combustion chamber. SAE Paper 740714
Emekwuru NG, Watkins AP (2011) Application of a moments spray model to solid cone diesel sprays. SAE Paper 2011-01-1843, JSAE Paper 20119080
Emekwuru NG, Watkins AP (2010) Analysis of a two-fluid sprayer and its use to develop the number size distribution moments spray model. Part II: a computational analysis. Atomization Sprays 20(8):653–672
Beck JC, Watkins AP (2002) On the development of spray sub-models based on the droplet size moments. J Comput Phys 182(2):596–621
Launder BE, Spalding DB (1972) Mathematical models of turbulence. Academic Press, London
Hiroyasu H, Arai M (1990) Structures of fuel sprays in diesel engines. SAE Paper 900475
Acknowledgments
Dr. N.G. Emekwuru holds the University of Wolverhampton ERAS 2011/12 Fellowship, which partly supported this work.
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© 2013 Springer-Verlag Berlin Heidelberg
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Nwabueze, E.G. (2013). Applying a Diesel Spray Model With Different Size Distribution Functions to High Pressure Diesel Spray Cases. In: Proceedings of the FISITA 2012 World Automotive Congress. Lecture Notes in Electrical Engineering, vol 189. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33841-0_25
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DOI: https://doi.org/10.1007/978-3-642-33841-0_25
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