Abstract
To understand the transient behavior of droplets after impingement in a diesel engine, a numerical model for diesel sprays impinging on a flat wall is newly developed by the proposition of several mathematical formulae to determine the post-impingement characteristics of droplets. The new model consists of three representative regimes such as rebound, deposition and splash. The gas phase is modeled in terms of the Eulerian conservation equations, and the dispersed phase is calculated using a discrete droplet model. To validate the new model, the calculated results are compared with several experimental data. The results show that the new model is generally in good agreement with the experimental data. Therefore, it is thought that the new model is acceptable for the prediction of transient behavior of wall sprays.
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Abbreviations
- D :
-
Droplet diameter
- d sp :
-
Diameter of the spread film disc
- m :
-
Droplet mass
- N :
-
Number of droplets in a parcel
- Oh :
-
Ohnesorge number
- Re :
-
Reynolds number
- ug, vg, wg:
-
Velocity component of the gas phase
- u′g, v′g, w′g:
-
Fluctuating velocity component of the gas phase
- ud, vd, wd:
-
Velocity component of the dispersed phase
- V :
-
Total velocity of droplet or control volume
- vt, vn:
-
Tangential and normal components of droplet velocity, respectively
- We T :
-
Weber number based on the total droplet velocity
- We n :
-
Weber number based on the normal droplet velocity
- Φ i :
-
Incident angle of impinging droplets measured from the wall
- θ:
-
Void fraction
- μ:
-
Viscosity
- ρ:
-
Density of the gas phase
- σ:
-
Surface tension
- Φ:
-
Viscous dissipated energy of liquid film built on the wall
- Ψ:
-
Time fraction at which the splash occurs
- ∀ f :
-
Volume of the film disc
- a, b :
-
After and before impingement, respectively
- d :
-
Droplet
- f :
-
Film
- rel:
-
Relative
- w :
-
Wall surfaces
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Lee, S.H., Ryou, H.S. Modeling of diesel spray impingement on a flat wall. KSME International Journal 14, 796–806 (2000). https://doi.org/10.1007/BF03184466
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DOI: https://doi.org/10.1007/BF03184466