Abstract
The present article aims to perform numerical calculations for inter-spray impingement of two diesel sprays under a high injection pressure and to propose a new hybrid model for droplet collision on the basis of literature findings. The hybrid model is compared with the original 0’ Rourke’s model, which has been widely used for spray calculations. The main difference between the hybrid model and the O’Rourke’s model is mainly in determination of the collision threshold condition, in which the preferred directional effect of droplets and a critical collision radius are included. The Wave model involving the cavitation effect inside a nozzle is used for predictions of atomization processes. Numerical results are reported for different impingement angles of 60° and 90° in order to show the influence of the impinging angle on spray characteristics and also compared with experimental data. It is found that the hybrid model shows slightly better agreement with experimental data than the O’Rourke’s model.
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Abbreviations
- E boun :
-
Probability of bouncing collision Probability of coalescence collision
- E coal :
-
Droplet diameter
- D :
-
Distance between two parcels
- D 1,2 :
-
Spray tip penetration length
- L tip :
-
Number of collisions per time step
- N :
-
Cumulative number of bouncing collisions during a total time duration
- N c,boun :
-
Cumulative number of coalescence collisions during a total time duration
- N c, coat :
-
Cumulative number of coalescence collisions during a total time duration
- N c, sep :
-
Cumulative number of separation collisions during a total time duration
- N c :
-
Cumulative number of collisions (=N c,boun +N c,coal +N c,sep ) during a total time duration
- n :
-
Number of drops in a parcel
- P o :
-
Probability of no collision
- P n :
-
Poisson distribution
- r :
-
Radius of drops
- R c :
-
Ratio of a total number of cumulative collisions to a total number of injected parcels
- R crit :
-
Critical radius of collision
- S z :
-
Distance from the nozzle tip to the impingement point
- t :
-
Time
- U :
-
Velocity of drops
- W e :
-
Weber number
- X :
-
Location of droplet parcel
- XX :
-
Random number
- Z t :
-
Distance from the impingement point to the spray tip
- γ:
-
Ratio of collector drop diameter to colliding drop diameter to colliding drop diameter
- ν:
-
Collision frequency
- ∀:
-
Volume of computational cell
- 1:
-
Collector drop
- 2:
-
Colliding drop
- bound:
-
Grazing bounce regime
- coal:
-
Coalescence regime
- sep:
-
Separation regime
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Lee, S.H., Ko, G.H. & Ryou, H.S. A numerical study on the spray-to-spray impingement system. KSME International Journal 16, 235–245 (2002). https://doi.org/10.1007/BF03185175
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DOI: https://doi.org/10.1007/BF03185175