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On the dependence of spray momentum flux in spray penetration: Momentum flux packets penetration model

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Abstract

Momentum flux is a very important parameter for predicting the mixing potential of injection processes. Important factors such as spray penetration, spray cone angle, and air entrainment depend largely on spray momentum. In this article, a model is obtained which is able to predict the spray tip penetration using as an input the spray momentum flux signal. The model is based on the division of the momentum flux signal into momentum packets (fuel parcels) sequentially injected, and the tracking of them along the spray. These packets follow a theoretical equation which relates the penetration with the ambient density, momentum, spray cone angle and time. In order to validate the method, measures of momentum flux (impingement force) and macroscopic spray visualization in high density conditions have been performed on several mono-orifice nozzles. High agreement has been obtained between spray penetration prediction from momentum flux measurements and real spray penetration from macroscopic visualization.

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Abbreviations

Din :

Inlet diameter of the nozzle’s orifices

Dout :

Outlet diameter of the nozzle’s orifices

k-factor:

Convergence or divergence factor

M:

Momentum flux

Pb:

Backpressure

Pi:

Injection Pressure

S:

Spray tip penetration

T:

Time

kp :

Penetration constant

Si :

Packet penetration at the front of the spray

Si′:

Packet penetration inside the spray

toi :

Packet origin time

tci :

Packet front reaching time

Sci :

Packet front reaching penetration

ρa :

Ambient density

θ:

Spray cone angle

ϕi :

Packet phase lag

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Authors and Affiliations

  1. CMT-Motores Térmicos, Universidad Politécnica de Valencia Camino de Vera s/n, E-46022, Spain

    R. Payri, S. Ruiz, F. J. Salvador & J. Gimeno

Authors
  1. R. Payri
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  2. S. Ruiz
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  3. F. J. Salvador
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  4. J. Gimeno
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Correspondence to R. Payri.

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Payri, R., Ruiz, S., Salvador, F.J. et al. On the dependence of spray momentum flux in spray penetration: Momentum flux packets penetration model. J Mech Sci Technol 21, 1100–1111 (2007). https://doi.org/10.1007/BF03027660

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  • DOI: https://doi.org/10.1007/BF03027660

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