Skip to main content

Numerical Modeling and Study of Vaporization of Single Droplet and Mono-dispersed Spray Under Mixed Convection Conditions

  • Conference paper
  • First Online:
Innovative Design, Analysis and Development Practices in Aerospace and Automotive Engineering (I-DAD 2018)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 1217 Accesses

Abstract

An approach to account for combined convection during droplet evaporation and study of pure component droplets and mono-dispersed sprays is presented. The classical gas-phase and infinite conductivity liquid-phase model are extended, with the use of an effective Reynolds number, to conflate the combined effects of forced and natural convection. The current model, after validation with experimental and numerical data using an independent code, is incorporated into a commercial CFD software, ANSYS Fluent, via user-defined functions with the Eulerian–Lagrangian numerical scheme. A validation study is carried out by comparing with available experimental, numerical, and analytical data on pure component droplets and a mono-dispersed spray, respectively, for without and with droplet dynamics. The results are shown in terms of mass fraction, droplet velocity, droplet diameter square, and droplet temperature. The validation shows reasonably good match between the present numerical data and experimental and analytical data, respectively, for initial Red/Grd 0.09, 2.12, and 60 evaporating droplets/sprays. It is concluded that the biofuels, for example, ethanol with a lower latent heat of vaporization, burn much like mono-component droplets and the blowing effect can be important in their modeling in the spray combustion.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Sazhin, S.S.: Advanced models of fuel droplet heating and evaporation. Prog. Energy Combust. Sci. 32, 162–214 (2006)

    Article  Google Scholar 

  2. Chen, G., Agarwal, S.K., Jackson, T.A., Switzer, G.L.: Experimental study of pure and multi-component fuel droplet evaporation in a heated air flow. At. Sprays 7, 317–337 (1997)

    Article  Google Scholar 

  3. Miller, R.S., Harstad, K., Bellan, H.J.: Evaluation of equilibrium and non-equilibrium evaporation models for many droplet gas–liquid flow simulations. Int. J. Multiph. Flow 24, 1025–1055 (1998)

    Article  Google Scholar 

  4. Sirignano, W.A.: Fluid Dynamics and Transport of Droplets and Sprays, 2nd edn. Cambridge University Press (2010)

    Google Scholar 

  5. Clift, R., Grace, J.R., Weber, M.E.: Bubbles, Drops and Particles. Academic Press, New York (1978)

    Google Scholar 

  6. Downing, C.G.: The evaporation of drops of pure liquids at elevated temperatures, rates of evaporation and wet-bulb temperature. AIChE J. 12(4), 760–766 (1966)

    Article  Google Scholar 

  7. Faeth, G.M., Lazar, R.S.: Fuel droplet burning rates in a combustion gas environment. AIAA J. 9, 2165–2171 (1971)

    Article  Google Scholar 

  8. Froessling, N.: Ueber die Verdunstungfallender Tropfen. Gerlands Beitraege. Geophys. 52, 170–216 (1938)

    Google Scholar 

  9. Ranz, W.E., Marshall, W.R. Jr.: Evaporation from drops (Part I and II). Chem. Eng. Progress 48(3), 141–146, 172–180 (1952)

    Google Scholar 

  10. Abramzon, B., Sirignano, W.A.: Droplet vaporization model for spray combustion calculations. Int. J. Heat Mass Transf. 32(9), 1605–1618 (1989)

    Article  Google Scholar 

  11. Chiang, C.H., Raju, M.S., Sirignano, W.A.: Numerical analysis of convecting, vaporizing fuel droplet with variable properties. Int. J. Heat Mass Transf. 35, 1307–1324 (1992)

    Article  Google Scholar 

  12. Haywood, R.J., Nafziger, N., Renksizbulut, M.: A detailed examination of gas and liquid phase transient processes in convective droplet evaporation. ASME J. Heat Transf. 111, 495–502 (1989)

    Article  Google Scholar 

  13. Kolaitis, D.I., Founti, M.A.: A comparative study of numerical models for Eulerian–Lagrangian simulations of turbulent evaporating sprays. Int. J. Heat Mass Transf. 27, 424–435 (2006)

    Google Scholar 

  14. Gollahalli, S.R.: Buoyancy effects on the flame structure in the wakes of burning liquid drops. Combust. Flame 29, 21–31 (1977)

    Article  Google Scholar 

  15. Morin, C., Chauveau, C., Gökalp, I.: Droplet vaporization characteristics of vegetable oil derived bio-fuels at high temperatures. Exp. Thermal Fluid Sci. 21, 41–50 (2000)

    Article  Google Scholar 

  16. Birouk, M., Toth, S.L.: Vaporization and combustion of a soybean biodiesel droplet in a turbulent environment at elevated ambient pressure. Combust. Sci. Technol. 187(6), 937–952 (2015)

    Article  Google Scholar 

  17. Daho, T., Vaitilingom, G., Sanogo, O., Ouiminga, S.K., Segda, B.G., Valette, J., Higelin, P., Koulidiati, J.: A model for predicting evaporation characteristics of vegetable oil droplets based on their fatty acid composition. Int. J. Heat Mass Transf. 55(11–12), 2864–2871 (2012)

    Article  Google Scholar 

  18. Shintre, P., Raghavan, V.: Experimental investigations of burning rates of pure ethanol and ethanol blended fuels. Combust. Flame 156, 997–1005 (2009)

    Article  Google Scholar 

  19. Dirbude, S., Eswaran, V., Kushari, A.: Droplet vaporization modelling of rapeseed and sunflower methyl esters. Fuel 92(1), 171–179 (2012)

    Article  Google Scholar 

  20. Law, C.K., Williams, F.A.: Kinetics and convection in the combustion of alkane droplets. Combust. Flame 19, 393–405 (1972)

    Article  Google Scholar 

  21. Wong, S.C., Lin, A.R.: Internal temperature distributions of droplets vaporizing in high temperature convective flows. J. Fluid Mech. 237(11), 671–687 (1992)

    Article  Google Scholar 

  22. Lefebvre, A.: Atomization and Sprays. Taylor and Francis, NY (1989)

    Google Scholar 

  23. Boileau, M.: Simulation numérique de la combustion diphasique. WN/CFD/03/73, July (2003)

    Google Scholar 

  24. ANSYS-Fluent UDF, Release 13.0 Manual (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sumer Dirbude .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Dirbude, S., Kushari, A., Eswaran, V. (2019). Numerical Modeling and Study of Vaporization of Single Droplet and Mono-dispersed Spray Under Mixed Convection Conditions. In: Chandrasekhar, U., Yang, LJ., Gowthaman, S. (eds) Innovative Design, Analysis and Development Practices in Aerospace and Automotive Engineering (I-DAD 2018). Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-2697-4_8

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-2697-4_8

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-2696-7

  • Online ISBN: 978-981-13-2697-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics