A model for convective heating of droplets, which takes into account their finite thermal conductivity, is suggested. This model is based on the assumption of the parabolic temperature profile in the droplets. A rigorous numerical solution, without restrictions on temperature profiles inside droplets, is compared with predictions of the parabolic temperature profile and isothermal models. The comparison shows the applicability of the parabolic approximation to modelling of the heating of fuel droplets in realistic diesel engines. The simplicity of the model makes it particularly convenient for implementation into CFD codes.

1.
Sirignano, W. A., 1999, Fluid Dynamics and Transport of Droplets and Sprays, Cambridge University Press.
2.
Bertoli
,
C.
, and
na Migliaccio
,
M.
,
1999
, “
A Finite Conductivity Model for Diesel Spray Evaporation Computations
,”
Int. J. Heat Mass Transf.
,
20
, pp.
552
561
.
3.
Dombrovsky
,
L. A.
,
2000
, “
Thermal Radiation From Nonisothermal Spherical Particles of a Semitransparent Material
,”
Int. J. Heat Mass Transf.
,
43
, pp.
1661
1672
.
4.
Sazhin
,
S. S.
,
Feng
,
G.
,
Heikal
,
M. R.
,
Goldfarb
,
I.
,
Goldshtein
,
V.
, and
Kuzmenko
,
G.
,
2001
, “
Thermal Ignition Analysis of a Monodisperse Spray With Radiation
,”
Combust. Flame
,
124
, pp.
684
701
.
5.
Dombrovsky
,
L. A.
, and
Ignatiev
,
M. B.
,
2001
, “
Inclusion of Nonisothermality of Particles in the Calculations and Diagnostics of Two-Phase Jets Used for Spray Coating
,”
High Temp.
,
39
, pp.
134
141
.
You do not currently have access to this content.