Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation

L.A. Dombrovsky, Sergei Sazhin, Elena Sazhina, G. Feng, Morgan Heikal, M.E.A. Bardsley, Sergey Mikhalovsky

Research output: Contribution to journalArticle

Abstract

Absorption and scattering spectral efficiency factors for spherical semi-transparent fuel droplets are approximated by simple analytical expressions as functions of imaginary and real parts of the complex index of refraction and the diffraction parameters of droplets. These expressions are applied to the modelling of thermal radiation transfer in Diesel engines. On the basis of the P-1 approximation, which is applicable due to the large optical thickness of combustion products, various ways of spectral averaging for absorption and scattering coefficients are suggested. Assuming that the concentration of fuel droplets is small, the scattering effects are ignored and the analysis is focused on approximations for the absorption coefficient. The average absorption coefficient of droplets is shown to be proportional to ard2+b, where rd is the droplet radii, and a and b are quadratic functions of gas temperature. Explicit expressions for a and b are derived for diesel fuel droplets in the range 5–50 μm and gas temperatures in the range 1000–3000 K. The expression for the average absorption coefficient of droplets is implemented into the research version of VECTIS CFD code of Ricardo Consulting Engineers. The effect of thermal radiation on heating and evaporation of semi-transparent diesel fuel droplets is shown to be considerably smaller when compared with the case of black opaque droplets.
Original languageEnglish
Pages (from-to)1535-1544
Number of pages10
JournalFuel
Volume80
Issue number11
Publication statusPublished - Sep 2001

Fingerprint

diesel fuels
thermal radiation
absorptivity
evaporation
heating
gas temperature
consulting
combustion products
diesel engines
scattering coefficients
charge flow devices
approximation
scattering
optical thickness
engineers
refraction
radii
diffraction
temperature

Keywords

  • Diesel engines
  • Fuel droplets
  • Thermal radiation

Cite this

Dombrovsky, L. A., Sazhin, S., Sazhina, E., Feng, G., Heikal, M., Bardsley, M. E. A., & Mikhalovsky, S. (2001). Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation. Fuel, 80(11), 1535-1544.
Dombrovsky, L.A. ; Sazhin, Sergei ; Sazhina, Elena ; Feng, G. ; Heikal, Morgan ; Bardsley, M.E.A. ; Mikhalovsky, Sergey. / Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation. In: Fuel. 2001 ; Vol. 80, No. 11. pp. 1535-1544.
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title = "Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation",
abstract = "Absorption and scattering spectral efficiency factors for spherical semi-transparent fuel droplets are approximated by simple analytical expressions as functions of imaginary and real parts of the complex index of refraction and the diffraction parameters of droplets. These expressions are applied to the modelling of thermal radiation transfer in Diesel engines. On the basis of the P-1 approximation, which is applicable due to the large optical thickness of combustion products, various ways of spectral averaging for absorption and scattering coefficients are suggested. Assuming that the concentration of fuel droplets is small, the scattering effects are ignored and the analysis is focused on approximations for the absorption coefficient. The average absorption coefficient of droplets is shown to be proportional to ard2+b, where rd is the droplet radii, and a and b are quadratic functions of gas temperature. Explicit expressions for a and b are derived for diesel fuel droplets in the range 5–50 μm and gas temperatures in the range 1000–3000 K. The expression for the average absorption coefficient of droplets is implemented into the research version of VECTIS CFD code of Ricardo Consulting Engineers. The effect of thermal radiation on heating and evaporation of semi-transparent diesel fuel droplets is shown to be considerably smaller when compared with the case of black opaque droplets.",
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Dombrovsky, LA, Sazhin, S, Sazhina, E, Feng, G, Heikal, M, Bardsley, MEA & Mikhalovsky, S 2001, 'Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation', Fuel, vol. 80, no. 11, pp. 1535-1544.

Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation. / Dombrovsky, L.A.; Sazhin, Sergei; Sazhina, Elena; Feng, G.; Heikal, Morgan; Bardsley, M.E.A.; Mikhalovsky, Sergey.

In: Fuel, Vol. 80, No. 11, 09.2001, p. 1535-1544.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation

AU - Dombrovsky, L.A.

AU - Sazhin, Sergei

AU - Sazhina, Elena

AU - Feng, G.

AU - Heikal, Morgan

AU - Bardsley, M.E.A.

AU - Mikhalovsky, Sergey

PY - 2001/9

Y1 - 2001/9

N2 - Absorption and scattering spectral efficiency factors for spherical semi-transparent fuel droplets are approximated by simple analytical expressions as functions of imaginary and real parts of the complex index of refraction and the diffraction parameters of droplets. These expressions are applied to the modelling of thermal radiation transfer in Diesel engines. On the basis of the P-1 approximation, which is applicable due to the large optical thickness of combustion products, various ways of spectral averaging for absorption and scattering coefficients are suggested. Assuming that the concentration of fuel droplets is small, the scattering effects are ignored and the analysis is focused on approximations for the absorption coefficient. The average absorption coefficient of droplets is shown to be proportional to ard2+b, where rd is the droplet radii, and a and b are quadratic functions of gas temperature. Explicit expressions for a and b are derived for diesel fuel droplets in the range 5–50 μm and gas temperatures in the range 1000–3000 K. The expression for the average absorption coefficient of droplets is implemented into the research version of VECTIS CFD code of Ricardo Consulting Engineers. The effect of thermal radiation on heating and evaporation of semi-transparent diesel fuel droplets is shown to be considerably smaller when compared with the case of black opaque droplets.

AB - Absorption and scattering spectral efficiency factors for spherical semi-transparent fuel droplets are approximated by simple analytical expressions as functions of imaginary and real parts of the complex index of refraction and the diffraction parameters of droplets. These expressions are applied to the modelling of thermal radiation transfer in Diesel engines. On the basis of the P-1 approximation, which is applicable due to the large optical thickness of combustion products, various ways of spectral averaging for absorption and scattering coefficients are suggested. Assuming that the concentration of fuel droplets is small, the scattering effects are ignored and the analysis is focused on approximations for the absorption coefficient. The average absorption coefficient of droplets is shown to be proportional to ard2+b, where rd is the droplet radii, and a and b are quadratic functions of gas temperature. Explicit expressions for a and b are derived for diesel fuel droplets in the range 5–50 μm and gas temperatures in the range 1000–3000 K. The expression for the average absorption coefficient of droplets is implemented into the research version of VECTIS CFD code of Ricardo Consulting Engineers. The effect of thermal radiation on heating and evaporation of semi-transparent diesel fuel droplets is shown to be considerably smaller when compared with the case of black opaque droplets.

KW - Diesel engines

KW - Fuel droplets

KW - Thermal radiation

M3 - Article

VL - 80

SP - 1535

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JO - Fuel

JF - Fuel

SN - 0016-2361

IS - 11

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Dombrovsky LA, Sazhin S, Sazhina E, Feng G, Heikal M, Bardsley MEA et al. Heating and evaporation of semi-transparent diesel fuel droplets in the presence of thermal radiation. Fuel. 2001 Sep;80(11):1535-1544.