A radiative transfer model describing the interactions between hazardous fire thermal radiation and water sprays is presented. Both the liquid (water droplets) and gaseous (mainly water vapor and carbon dioxide) phases of the spray are considered in the present work. Radiative properties of the polydisperse water droplets are derived from Mie theory. The gaseous phase behavior is handled by the correlated-k distribution method, where the k-distribution function is evaluated for Malkmus narrow-band statistical model. The radiative transfer equation, in its integral form, is solved by a discrete ordinates method. After a general description of the radiative model developed and the experimental task to validate it, some results are discussed on its accuracy and CPU time. A deeper analysis is also carried out to point out the influence of the main parameters involved in the problem.

1.
Borges De Miranda
A.
, and
Sacadura
J. F.
,
1996
, “
An Alternative Formulation of the S-N Discrete Ordinates for Predicting Radiative Transfer in Nongray Gases
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
118
, No.
3
, pp.
650
653
.
2.
Domoto
G. A.
,
1974
, “
Frequency Integration for Radiative Transfer Problems Involving Homogeneous Nongray Gases: The Inverse Transmission Function
,”
Journal of Quantitative Spectroscopy and Radiative Transfer
, Vol.
14
, pp.
935
942
.
3.
El Wakil, N., and Sacadura, J. F., 1992, “Some Improvements of the Discrete Ordinates Method for the Solution of the Radiative Transport Equation in Multidimensional Anisotropically Scattering Media,” Developments in Radiative Heat Transfer, S. T. Thynell et al., eds., ASME HTD, Vol. 203, pp. 119–127.
4.
Goody, R. M., and Yung, Y. L., 1989, Atmospheric Radiation, Oxford Univ. Press, New York.
5.
Hansen
J. E.
,
1969
, “
Exact and Approximate Solutions for Multiple Scattering by Cloudy and Hazy Planetary Atmospheres
,”
Journal of the Atmospheric Sciences
, Vol.
26
, pp.
478
487
.
6.
Hunt
G. E.
, and
Grant
I. P.
,
1969
, “
Discrete Space Theory of Radiative Transfer and its Application to Problems in Planetary Atmospheres
,”
Journal of the Atmospheric Sciences
, Vol.
26
, pp.
963
971
.
7.
Lacis
A. A.
, and
Oinas
V.
,
1991
, “
A Description of the Correlated-k: Distribution Method for Modeling Nongray Gaseous Absorption, Thermal Emission, and Multiple Scattering in Vertically Inhomogeneous Atmospheres
,”
Journal of Geophysical Research
, Vol.
96
, No.
D5
, pp.
9027
9063
.
8.
Malkmus
W.
,
1967
, “
Random Lorentz Band Model With Exponential-Tailed S−1 Line-Intensity Distribution Function
,”
Journal of the Optical Society of America
, Vol.
57
, No.
3
, pp.
323
329
.
9.
Menart
J. A.
,
Lee
H. S.
, and
Kim
T. K.
,
1993
, “
Discrete Ordinates Solutions of Nongray Radiative Transfer With Diffusely Reflecting Walls
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
115
, pp.
184
193
.
10.
Ravigururajan
T. S.
, and
Beltran
M. R.
,
1989
, “
A Model for Attenuation of Fire Radiation Through Water Droplets
,”
Fire Safety Journal
, Vol.
15
, pp.
171
181
.
11.
Riviere
Ph.
,
Soufiani
A.
, and
Taine
J.
,
1992
, “
Correlated-k and Fictitious Gas Methods for H2O Near 2.7 μm
,”
Journal of Quantitative Spectroscopy and Radiative Transfer
, Vol.
48
, No.
2
, pp.
187
203
.
12.
Soufiani
A.
,
Hartmann
J. M.
, and
Taine
J.
,
1985
, “
Validity of Band-Model Calculations for CO2 and H2O Applied to Radiative Properties and Conductive-Radiative Transfer
,”
Journal of Quantitative Spectroscopy and Radiative Transfer
, Vol.
33
, No.
3
, pp.
243
257
.
13.
Stephenson, S., and Coward, M. J., 1986, “Attenuation of Radiant Heat on LNG/LPG Carriers With Freestanding Water Curtains,” Gastech 86 LNG/LPG Conference, Hamburg, pp. 157–168.
14.
Van De Hulst, H. C., 1957, Light Scattering by Small Particles, John Wiley & Sons, Inc., New York.
15.
Yamamoto
G.
,
Tanaka
M.
, and
Asano
S.
,
1970
, “
Radiative Transfer in Water Clouds in the Infrared Region
,”
Journal of the Atmospheric Sciences
, Vol.
27
, pp.
282
292
.
16.
Young
S. J.
,
1977
, “
Nonisothermal Band Model Theory
,”
Journal of Quantitative Spectroscopy and Radiative Transfer
, Vol.
18
, pp.
1
28
.
17.
Zang
L.
,
Soufiani
A.
, and
Taine
J.
,
1988
, “
Spectral Correlated and Non-Correlated Radiative Transfer in Finite Axisymmetric System Containing an Absorbing and Emitting Real Gas-Particle Mixture
,”
International Journal of Heat and Mass Transfer
, Vol.
31
, No.
11
, pp.
2261
2272
.
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