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FPIV study of gas entrainment by a hollow cone spray submitted to variable density

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Abstract

The gas entrainment in a hollow cone spray submitted to variable density is studied experimentally in order to better understand the effect on mixture formation. Particle image velocimetry on fluorescent tracers, associated with a specific processing of the instantaneous velocity fields have been applied to obtain measurement in the close vicinity of the spray edge. In the “quasi-steady” region of the spray, important effect of the ambient density on the mass flow rate of entrained gas \( (\ifmmode\expandafter\dot\else\expandafter\.\fi{m}_{{\text{e}}} ) \) have been pointed out. The axial evolution of \( \ifmmode\expandafter\dot\else\expandafter\.\fi{m}_{{\text{e}}} \) is in good agreement with an integral model that takes the momentum exchange between phases into account.

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Abbreviations

asoi:

after start of injection

cc:

centimeter cube

d :

diameter

CF4 :

tetrafluoromethane

FPIV:

fluorescent particles images velocimetry

GDI:

gasoline direct injection

NMT:

normalized median residual test

P :

pressure

rpm:

revolutions per minute

R :

radial distance

U :

velocity component

Z :

axial distance

Z i :

axial location between “near” and “far” model’s transition point

λ:

wavelength

ρ:

gas density

τ:

time response

θ:

cone spray angle

L*:

estimated transition length ratio from measurement

Re :

Reynold number

T*:

length ratio based on droplet time response

Δerror :

relative error

0:

initial

a:

axial

inj:

injection

H:

hydraulic

p:

particle

r:

radial

⊥ :

normal

:

tangential

References

  • Achleitner E, Berger S, Frenzel H, Klepatsch M, Warneck V (2004) Benzin-Direkteinspritzung auf Piezo-Basis, MTZ 5/2004 Jahrgang 65

  • Arbeau A, Bazile R, Charnay G, Gastaldi P (2004) A new application of the particle image velocimetry (PIV) to the air entrainment in Gasoline Direct Injection sprays. SAE Paper 2004-01-1948

  • Benatt FGS, Eisenklam P (1969) Gaseous entrainment into axisymetric liquid sprays, J Inst Fuel 309

  • Bury Y (2000) Structure de jets légers ou lourds en écoulement externe fortement pulse. Expérimentation modèle du mélange de carburants gazeux dans les moteurs alternatifs, PhD Thesis, INP Toulouse, France

  • Cao ZM, Nishino K, Mizuno S, Torii K (2000) PIV measurement of internal structure of diesel fuel spray. Exp Fluids (Suppl):S211–S219

  • Coghe A, Cossali GE, Araneo (2000) Gas entrainment in diesel sprays. THIESEL. Proceedings conference on thermo- and fluid-dynamic processes in diesel engines

  • Cossali GE, Coghe A, Gerla A, Brunello G (1996) Effect of gas density and temperature on air entrainment in a transient diesel spray. SAE Paper 960862

  • Cossali GE (2001) An integral model for gas entrainment into full cone sprays. J Fluid Mech 439:353–366

    Article  MATH  Google Scholar 

  • Delay G (2005) Analyse des écoulements transitoires dans les systèmes d’injection directe essence, effets sur l’entrainement d’air instationnaire du spray, PhD Thesis, INP Toulouse, France

  • Donghee H, Mungal MG (2001) Direct measurement of entrainment in reacting non reacting turbulent jets. Combust flame 124:370–386

    Article  Google Scholar 

  • Ferrand V (2001) Analyse physique d’un jet d’air turbulent charge en gouttelettes. Diagnostics lasers applicables à l’injection d’essence dans les moteurs, PhD Thesis, INP Toulouse, France

  • Ghosh S, Hunt JCR (1994) Induced air velocity within droplet driven sprays. Proc R Soc Lond A 444:105–127

    Article  Google Scholar 

  • Ha J, Norisama I, Sato GT, Hayashi A, Tanabe H (1984) Experimental investigation of the entrainment into diesel spray. SAE Paper. 841078

  • Hosoya H, Obokata T (1992) LDA measurements of spray flow from a single hole diesel type nozzle under steady conditions. In: Proceedings of sixth international symposium on applications of laser technology to fluid mechanics, 37.5. Inst. Superior Tecnico, Lisbon-Portugal

  • Lezieki D, Gobin C, Ledoyen S, Ledoux M (1999) Structure of the air flow entrained by a high pressure Diesel jet. ILASS’Europe Toulouse

  • Lecordier B (1999) Etude de l’interaction de la propagation d’une flamme prémélangée avec le champ aérodynamique par association de la tomographie laser et de la vélocimétrie par image de particules, Rouen University thesis

  • Lecordier B (2002) Méthode de PIV avec déformation des images pour l’amélioration des mesures des gradients de vitesse. CFVL. 8eme congrès francophone de vélocimétrie laser, pp 97–103

  • Lecordier B, Trinité M (2003) Advanced PIV algorithms with image distortion validation and comparison using synthetic images of turbulent flow, Proceedings of EUROPIV2 workshop, Zaragoza

  • Liesiecki D, Gobin C, Ledoyen S, Ledou M (1998) The structure of the air flow entrained by a high pressure Diesel jet, ILASS Europe 99 proceedings, Toulouse, France

  • Ricou FP, Spalding DB (1961) Measurements of entrainment by axisymmetrical turbulent jets. J Fluids Mech 11:21–32

    Article  MATH  Google Scholar 

  • Rottenkolber G et al. (2002), Spray analysis of a gasoline direct injector by means of two-phase PIV. Exp Fluids 32:710–721

    Google Scholar 

  • Ruff GA, Sagar AD, Faeth GM (1998) Structure and mixing properties of pressure atomized sprays. AIAA Paper 88-0237

  • Schwarz Ch, Schünemann E, Durst B, Fischer J, Witt A (2006) Potentials of the spray guided BMW DI Combustion System, SAE 2006-01-1265

  • Seibel C, Gartnung K, Arndt K, Weignand B (2003) Detailed Analysis of Spray Structure and Air Entrainment in GDI Sprays using a Tomographic Approach”. Proceedings of ninth ICLASS, Sorrento, Italy

  • Towers DP, Towers CE, Buckberry CH, Reeves M (1999) A colour PIV system employing fluorescent particles for two-phase flow measurements, Meas. Sci Tech 10:824 –830

    Google Scholar 

  • Vermorel O (2003) Etude numérique et modélisation de la turbulence dans un écoulement de nappe chargée en particules, PhD thesis, Institut National Polytechnique de Toulouse, Toulouse

  • Westerweel J, Scarano F (2005) Universal outlier detection for PIV data. Exp Fluids 39:1096–1100

    Article  Google Scholar 

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Acknowledgments

The authors wish to acknowledge financial support from PSA, Siemens VDO Automotive, the Association Nationale de la Recherche Technique (ANRT) and the European Research Institute for Embedded Systems and Technologies (IERSET). The authors would also like to thank G. Couteau, M. Marchal, E. Cid and H. Ayroles for technical support.

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Correspondence to B. Prosperi.

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Prosperi, B., Delay, G., Bazile, R. et al. FPIV study of gas entrainment by a hollow cone spray submitted to variable density. Exp Fluids 43, 315–327 (2007). https://doi.org/10.1007/s00348-007-0304-4

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  • DOI: https://doi.org/10.1007/s00348-007-0304-4

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