Abstract

Approximate methods for the determination of a temperature field using pure emission pyrometry applied to a two-dimensional nonoptically thin flame without variation along a line of sight are presented. In the absence of an absorption measurement, emission pyrometry depends on theoretical spectral information. Limitations of existing techniques stem from the fact that spectral information is a function of temperature only for the optically thin situation, by and large the situation to which current techniques apply, and temperatures above 1000 K. Through extensive narrow-band calculation using a simulated flame over polymethylmethacrylate, we show that the spectral information contained in the equivalent bandwidth ratio is approximately a constant for the 2.8 μm/1.8 μm band pair and appropriate bandwidths. The constant can be evaluated from emission measurements at a point where the temperature is known or can be estimated using, e.g., the maximum flame temperature of a simulated flame and the peak band intensities. The temperature field evaluated with this approximately constant value of the equivalent bandwidth ratio, Ar, is accurate to within five percent for temperatures down to 450 K. [S0022-1481(00)02601-3]

Issue Section:
Analytical and Experimental Techniques
Keywords:
heat transfer, flames, pyrometers, Flame, Heat Transfer, Radiation, Temperature
Topics:
Emissions, Flames, Temperature, Pressure, Water
1.
Uchiyama
,
H.
,
Nakajima
,
M.
, and
Yuta
,
S.
,
1985
, “
Measurement of Flame Temperature Distribution by IR Emission Computed Tomography
,”
Appl. Opt.
,
24
, No.
23
, pp.
4111
–
4116
.
2.
Ray
,
S. R.
, and
Semerjian
,
H. G.
,
1984
, “
Laser Tomography for Simultaneous Concentration and Temperature Measurement in Reacting Flows
,”
Prog. Astronaut. Aeronaut.
,
921
, pp.
300
–
324
.
3.
Sato
,
S.
, and
Kumakura
,
K.
,
1988
, “
Measurement of Flame Temperature Profiles by Holographic Interferometry and Computed Tomography
,”
Trans. Jpn. Soc. Mech. Eng., Ser. B
(in Japanese),
55
, No.
511
, pp.
841
–
846
.
4.
Bernstein
,
J.
,
Fein
,
A.
,
Choi
,
J.
,
Cool
,
T.
,
Sausa
,
R.
,
Howard
,
S.
,
Locke
,
R.
, and
Miziolek
,
A.
,
1993
, “
Laser-Based Flame Species Profile Measurements: A Comparison With Flame Model Predictions
,”
Combust. Flame
,
92
, pp.
85
–
105
.
5.
Nichols
,
R. H.
,
1985
, “
An Acoustic Technique for Rapid Temperature Distribution Measurement
,”
J. Acoust. Soc. Am.
,
77
, No.
2
, pp.
759
–
763
.
6.
Wakai, K., Kayima, K., Sakai, S., and Shimizu, S., 1992, “Instantaneous Measurement of Two-Dimensional Temperature and Density Distributions of Flames by a Two-Band-Emission-CT Pyrometer,” SPIE Infrared Technology XVIII, 1762, pp. 19–22, 564–575.
7.
Ferriso, C. C., Ludwig, C. B., and Boynton, F. P., “A Band-Ratio Technique for Determining Temperatures and Concentrations of Hot Combustion Gases From Infrared-Emission Spectra,” Tenth Symposium (International) on Combustion. The Combustion Institute, Pittsburgh, PA, pp. 161–175.
8.
Altenkirch, R. A., Olson, S. L., Deering, J. L., Tang, L., Bhattacharjee, S., and Hegde, U., 1999, “Diffusive and Radiative Transport in Fires (DARTFire): Opposed-Flow Flame Spread in Low-Velocity Flows,” Fifth International Microgravity Combustion Workshop, NASA/CP-199-208917, pp. 317–320.
9.
Olson, S. L., Altenkirch, R. A., Bhattacharjee, S., Tang, L., and Hegde, U., 1997, “Diffusive and Radiative Transport in Fire Experiment: DARTFire,” Fourth International Microgravity Combustion Workshop, NASA/CP 10194, pp. 393–398.
10.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.
11.
Bhattacharjee
,
S.
, and
Altenkirch
,
R. A.
,
1991
, “
The Effect of Surface Radiation on Flame Spread in a Quiescent, Microgravity Environment
,”
Combust. Flame
,
84
, pp.
160
–
169
.
12.
Grosshandler
,
W. L.
,
1980
, “
Radiative Heat Transfer in Nonhomogeneous Gases: A Simplified Approach
,”
Int. J. Heat Mass Transf.
,
23
, pp.
1447
–
1459
.
13.
Grosshandler, W. L. 1993, “RADCAL: A Narrow-Band Model for Radiation Calculations in a Combustion Environment,” NIST Technical Note 1402.
14.
Edwards
,
D. K.
, and
Menard
,
W. A.
,
1964
, “
Comparison of Models for Correlation of Total Band Absorption
,”
Appl. Opt.
,
3
, No.
5
, pp.
621
–
625
.
15.
Siegel, R., and Howell, J. R., 1992, Thermal Radiation Heat Transfer, 3rd Ed., Taylor & Francis, Washington, DC.
16.
Horowitz, J., and Quinn, P., 1994, “Video Digitization & Processing for the DARTFire Project,” Project Review, NASA Lewis Research Center, Sept.
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