High heat fluxes are encountered in numerous applications, such as on the surfaces of hypersonic vehicles in flight, in fires, and within engines. The calibration of heat flux gauges may be performed in a dual cavity cylindrical blackbody. Insertion of instruments into the cavity disturbs the thermal equilibrium resulting in a transient calibration environment. To characterize the transient heat fluxes, experiments were performed on a dual cavity cylindrical blackbody at nominal temperatures varying from 800°C to 1900°C in increments of 100°C. The pre-insertion, steady state, axial temperature profile is compared experimentally and numerically. Detailed transient thermal models have been developed to simulate the heat flux calibration process at two extreme fluxes: the high flux is 1MW/m2 and the relatively low is 70kW/m2. Based on experiments and numerical analysis, the optimum heat flux sensor insertion location as measured from the center partition was determined. The effect of convection (natural and forced) in the blackbody cavity during the insertion is calculated and found to be less than 2% at high temperatures but reaches much higher values at relatively lower temperatures. The transient models show the effect of inserting a heat flux gauge at room temperature on the thermal equilibrium of the blackbody at 1800°C and 800°C nominal temperatures. Also, heat flux sensor outputs are derived from computed sensor temperature distributions and compared with experimental results. The numerical heat flux agreed with the experimental results to within 5%, which indicates that the numerical models captured the transient thermal physics during the calibration. Based on numerical models and all experimental runs the heat transfer mechanisms are explained.

1.
Holmberg
,
D.
,
Steckler
,
K.
,
Womeldorf
,
C.
, and
Grosshandler
,
W.
, 1997, “
Facility for Calibrating Heat Flux Sensors in a Convective Environment
,”
ASME J. Heat Transfer
0022-1481,
119
, pp.
165
171
.
2.
Holmberg
,
D. G.
,
Womeldorf
,
C. A.
, and
Grosshandler
,
W. L.
, 1999, “
Design and Uncertainty Analysis of a Second-Generation Convective Heat Flux Calibration Facility
,”
ASME J. Heat Transfer
0022-1481,
121
, pp.
65
70
.
3.
Grosshandler
,
W. L.
, and
Blackburn
,
D.
, 1997, “
Development of a High Flux Conduction Calibration Apparatus
,”
ASME J. Heat Transfer
0022-1481,
3
, pp.
153
158
.
4.
Murthy
,
A. V.
,
Tsai
,
B. K.
, and
Gibson
,
C. E.
, 1997, “
Calibration of High Heat Flux Sensors at NIST
,”
J. Res. Natl. Inst. Stand. Technol.
1044-677X,
102
, pp.
479
488
.
5.
Murthy
,
A. V.
,
Tsai
,
B. K.
, and
Saunders
,
R. D.
, 1997, “
Radiative Calibration of Heat Flux Sensors at NIST—An Overview
,”
ASME J. Heat Transfer
0022-1481,
119
, pp.
159
164
.
6.
Murthy
,
A. V.
,
Tsai
,
B. K.
, and
Saunders
,
R. D.
, 1998, “
High-Heat-Flux Sensor Calibration Using Black-Body Radiation
,”
Metrologia
0026-1394,
35
, pp.
501
504
.
7.
Murthy
,
A. V.
,
Tsai
,
B. K.
, and
Saunders
,
R. D.
, 1999, “
Comparative Calibration of Heat Flux Sensors in Two Blackbody Facilities
,”
J. Res. Natl. Inst. Stand. Technol.
1044-677X,
104
, pp.
487
494
.
8.
Murthy
,
A. V.
,
Tsai
,
B. K.
, and
Saunders
,
R. D.
, 2000, “
Radiative Calibration of Heat-Flux Sensors at NIST: Facilities and Techniques
,”
J. Res. Natl. Inst. Stand. Technol.
1044-677X,
105
, pp.
293
305
.
9.
Murthy
,
A. V.
,
Tsai
,
B. K.
, and
Saunders
,
R. D.
, 2001, “
Transfer Calibration Validation Tests on a Heat Flux Sensor in the 51 mm High-Temperature Blackbody
,”
J. Res. Natl. Inst. Stand. Technol.
1044-677X,
106
, pp.
823
831
.
10.
Tsai
,
B.
,
Gibson
,
C.
,
Murthy
,
A.
,
Early
,
E.
,
Dewitt
,
D.
, and
Saunders
,
R.
, 2004, “
Heat-Flux Sensor Calibration
,” U.S. Department of Commerce Technology Administration, National Institute of Standards and Technology, NIST Special Publication 250-65.
11.
Abdelmessih
,
A. N.
, 1998, “
Experimental Measurements of Temperature and Heat Flux in a High Temperature Black Body Cavity
,”
NASA
Technical Reports, Report No. NGT 2-52212, Document ID 19990021026, pp.
A:1
A:3
.
12.
Horn
,
T.
, and
Abdelmessih
,
A. N.
, 2000, “
Experimental and Numerical Characterization of Steady State Cylindrical Blackbody Cavity at 1100°C
,”
Proceedings of the 34th National Heat Transfer Conference
, Pittsburgh, PA.
13.
Abdelmessih
,
A. N.
, and
Horn
,
T.
, 2006, “
Experimental and Numerical Characterization of Transient Insertion of Heat Flux Gages in a Cylindrical Blackbody Cavity at 1100°C
,”
13th International Heat Transfer Conference
, Sydney, Australia.
14.
Abdelmessih
,
A. N.
, and
Horn
,
T.
, 2007, “
Effect of Insertion of Heat Flux Gages in a High Temperature Cylindrical Blackbody Cavity on the Gauge
,” draft submitted
IMECE
,
Seattle, WA
.
15.
Murthy
,
A. V.
,
Fraser
,
G. T.
, and
DeWitt
,
D. P.
, 2006, “
Experimental In-Cavity Radiative Calibration of High-Heat-Flux Meters
,”
J. Thermophys. Heat Transfer.
,
20
, pp.
327
335
.
16.
Thermogage Inc.
, 1991,
Thermogage Operation Manual for Model 48 kW Calibration Furnace
, Forstburg, MD.
17.
Luxtron Inc.
, 1990,
Accufiber Models 10 &100 Optical Fiber Thermometers Manual
, Santa Clara, CA.
18.
MacNeal-Schwendler Corporation
, 2003,
MSC/Patran Thermal Users Guide
, Vols, 1 and 2, Software Version is Patran 2005.
19.
Bolz
,
R. E.
, and
Tuve
,
G. L.
, 1985,
CRC Handbook of Tables for Applied Engineering, Science
, 2nd ed.,
CRC Press
,
Boca Raton, FL
.
20.
Abdelmessih
,
A. N.
, and
Bell
,
K. J.
, 1999, “
Effect of Mixed Convection and U-Bends on the Design of Double-Pipe Heat Exchangers
,”
Heat Transfer Eng.
0145-7632,
20
(
3
), pp.
25
36
.
21.
Leuenberger
,
H.
, and
Person
,
R. A.
, 1956, “
Compilation of Radiation Shape Factors for Cylindrical Assemblies
,” ASME Paper No. 56-A-144.
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