This paper presents a novel transient method for calibrating heat transfer gauges for convective wall heat flux measurements in high enthalpy flows. The new method relies on the transient heating of sensor substrates under rapid exposure to a hot flow in order to obtain the necessary reference heat flux. Compared to previous calibration facilities, the new facility is simple, inexpensive, easy to adapt for different flow configurations and sensor geometries, and quick to run across a wide range of conditions. In this paper, the design of the new calibration facility is described and the transient calibration method explained. The method is demonstrated by calibrating a Gardon gauge at convective heat transfer coefficients between 300 and 600 W/m2 K. Typical facility data and calibration results are presented in terms of voltage-heat flux sensitivity and calibration correction ratio. These results are shown to agree with theoretical estimates within the estimated calibration uncertainty.

References

References
1.
Neumann
,
D.
,
1989
, “
Aerothermodynamic Instrumentation
,” NATO Science and Technology Organization Advisory Group for Aerospace Research and Development, Neuilly Sur Seine, France, AGARD Report No. 761.
2.
Holmberg
,
D. G.
, and
Diller
,
T. E.
,
1995
, “
High-Frequency Heat Flux Sensor Calibration and Modelling
,”
ASME J. Fluids Eng.
,
117
(
4
), pp.
659
664
.
3.
Fralick
,
G. C.
,
Wrbanek
,
J. D.
, and
Blaha
,
C.
,
2002
, “
Thin Film Heat Flux Sensor of Improved Design
,” NASA Glenn Research Center, Cleveland, OH, Report No.
NASA/TM—2002-211566
.https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20020082950.pdf
4.
Gardon
,
R.
,
1953
, “
An Instrument for the Direct Measurement of Intense Thermal Radiation
,”
Rev. Sci. Instrum.
,
24
(
5
), pp.
366
370
.
5.
Raphael-Mabel
,
S.
,
Huxtable
,
S.
,
Gifford
,
A.
, and
Diller
,
T. E.
,
2005
, “
Design and Calibration of a Novel High Temperature Heat Flux Gage
,”
ASME
Paper No. HT2005-72761.
6.
Sapozhnikov
,
S. Z.
,
Mityakov
,
V. Y.
, and
Mityakov
,
A. V.
,
2003
,
Gradient Heat Flux Sensors
,
Saint-Petersburg State Polytechnical University
,
Saint-Petersburg, Russia
.
7.
NASA
,
2004
, “
Thin-Film Heat Flux Sensor (Improved Design)
,” NASA Glenn Research Center, Cleveland, OH, Report No.
TOP3-00206
.https://www.grc.nasa.gov/WWW/sensors/PhySen/docs/TOP3-00206.pdf
8.
Blanchat
,
T.
, and
Hanks
,
C.
,
2013
, “
Comparison of the High Temperature Heat Flux Sensor to Traditional Heat Flux Gages Under High Heat Flux Conditions
,” Sandia National Laboratories, Albuquerque, NM, Sandia Report No.
SAND2012-10683
.http://prod.sandia.gov/techlib/access-control.cgi/2012/1210683.pdf
9.
Osmanov
,
V.
,
2015
, “
Improved Gradient Heat Flux Sensors for Industrial Boiler Furnace Heat Flux Measurement
,” Thesis for the Degree of Candidate of Technical Sciences, Saint-Petersburg State Polytechnical University, Saint-Petersburg, Russia.
10.
Vatell Corporation
, 2017, “
TGH-2000 Series High Temperature Conduction-Cooled Heat Flux Sensors
,” Vatell Corporation, Christiansburg, VA, accessed Nov. 8, 2017, www.vatell.com/node/4
11.
Westkaemper
,
C.
,
1961
, “
On the Error in Plug-Type Calorimeters Caused by Surface-Temperature Mismatch
,”
J. Aerosp. Sci.
,
28
(
4
), pp.
907
908
.
12.
Kandula
,
M.
,
Haddad
,
F. G.
, and
Chen
,
R. H.
,
2007
, “
Three-Dimensional Thermal Boundary Layer Corrections for Circular Heat Flux Gauges Mounted in a Flat Plate With a Surface Temperature Discontinuity
,”
Int. J. Heat Mass Transfer
,
50
(3–4), pp.
713
722
.
13.
Borell
,
G. J.
, and
Diller
,
T. E.
,
1987
, “
A Convection Calibration Method for Local Heat Flux Gages
,”
ASME J. Heat Transfer
,
109
(
1
), pp.
83
89
.
14.
Holmberg
,
D.
,
Steckler
,
K.
,
Womeldorf
,
C.
, and
Grosshandler
,
W.
,
1997
, “
Facility for Calibrating Heat Flux Sensors in a Convective Environment
,”
ASME International Mechanical Engineering Congress and Exposition
, Dallas, TX, Nov. 16–21.http://fire.nist.gov/bfrlpubs/fire97/PDF/f97206.pdf
15.
Holmberg
,
D. G.
, and
Womeldorf
,
C. A.
,
1999
, “
A Progress Report on the NIST Convective Heat Flux Calibration Facility
,”
Fifth ASME/JSME Joint Thermal Engineering Conference
, San Diego, CA, Mar. 15–20, pp.
983
988
.https://www.nist.gov/publications/progress-report-nist-convective-heat-flux-calibration-facility
16.
Holmberg
,
D.
,
Womeldorf
,
C.
, and
Grosshandler
,
W.
,
1999
, “
Design and Uncertainty Analysis of a Second-Generation Convective Heat Flux Calibration Facility
,”
ASME International Mechanical Engineering Congress and Exposition
, Nashville, TN, Nov. 15–20.https://www.nist.gov/publications/design-and-uncertainty-analysis-second-generation-convective-heat-flux-calibration
17.
Gifford
,
A.
,
Hoffie
,
A.
,
Diller
,
T.
, and
Huxtable
,
S.
,
2010
, “
Convection Calibration of Schmidt-Boelter Heat Flux Gauges in Stagnation and Shear Air Flow
,”
ASME J. Heat Transfer
,
132
(
3
), p.
031601
.
18.
Ewing
,
J. A.
,
2006
, “
Development of a Direct-Measurement Thin-Film Heat Flux Array
,”
Master's thesis
, Virginia Polytechnic Institute and State University, Blacksburg, VA.http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.517.4462&rep=rep1&type=pdf
19.
Stathopoulos
,
P.
,
Hofman
,
F.
,
Rothenfluh
,
T.
, and
von Rohr
,
P. R.
,
2012
, “
Calibration of a Gardon Sensor in a High-Temperature High Heat Flux Stagnation Facility
,”
Exp. Heat Transfer
,
25
(
3
), pp.
222
237
.
20.
IEC
,
2013
, “
Thermocouples—Part 1: EMF Specifications and Tolerances
,” International Electrotechnical Commission, Geneva, Switzerland, Standard No.
IEC 60584-1:2013
.https://webstore.iec.ch/publication/2521
21.
Scervini
,
M.
, and
Rae
,
C.
,
2013
, “
The Contributions to Drift of Positive and Negative Thermoelements in Type K Bare-Wire Thermocouples
,”
AIP Conf. Proc.
,
1552
, pp. 564–569.
22.
Paniagua
,
G.
,
De´nos
,
R.
, and
Oropesa
,
M.
,
2002
, “
Thermocouple Probes for Accurate Temperature Measurements in Short Duration Facilities
,”
ASME
Paper No. GT2002-30043.
23.
Piccini
,
E.
,
Guo
,
S. M.
, and
Jones
,
T. V.
,
2005
, “
The Development of a New Direct-Heat-Flux Gauge for Heat-Transfer Facilities
,”
Meas. Sci. Technol.
,
11
(
4
), pp.
342
349
.
24.
Schulz
,
D. L.
, and
Jones
,
T. V.
,
1973
, “
Heat-Transfer Measurements in Short-Duration Hypersonic Facilities
,” NATO Science and Technology Organization Advisory Group for Aerospace Research and Development, Neuilly-sur-Seine, France, AGARD Report No.
AG-165
.http://www.dtic.mil/docs/citations/AD0758590
25.
Oldfield
,
M. L.
,
2008
, “
Impulse Response Processing of Transient Heat Transfer Gauge Signals
,”
ASME J. Turbomach.
,
130
(
2
), p.
021023
.
26.
Buttsworth
,
D. R.
, and
Jones
,
T. V.
,
1998
, “
A Fast-Response Total Temperature Probe for Unsteady Compressible Flows
,”
ASME J. Eng. Gas Turbines Power
,
120
(
4
), pp.
694
702
.
27.
Miller
,
C. G.
,
1981
, “
Comparison of Thin-Film Resistance Heat-Transfer Gages With Thin-Skin Transient Calorimeter Gages in Conventional Hypersonic Wind Tunnels
,” NASA Langley Research Center, Hampton, VA, Report No.
NASA-TM-83197
.https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19820006601.pdf
28.
Iliopoulou
,
V.
,
De´nos
,
R.
,
Billiard
,
N.
, and
Arts
,
T.
,
2004
, “
Time-Averaged and Time-Resolved Heat Flux Measurements on a Turbine Stator Blade Using Two-Layered Thin-Film Gauges
,”
ASME J. Turbomach.
,
126
(
4
), pp.
570
577
.
29.
Thorpe
,
S. J.
,
Yoshino
,
S.
,
Ainsworth
,
R. W.
, and
Harvey
,
N. W.
,
2004
, “
An Investigation of the Heat Transfer and Static Pressure on the Over-Tip Casing Wall of an Axial Turbine Operating at Engine Representative Flow Conditions. (I). Time-Mean Results
,”
Int. J. Heat Fluid Flow
,
25
(
6
), pp.
933
944
.
30.
Coleman
,
W. H.
, and
Steele
,
W. G.
,
1989
,
Experimentation and Uncertainty Analysis for Engineers
,
2nd ed.
,
Wiley–Interscience
, Hoboken, NJ.
31.
Stempel
,
F. C.
,
1966
, “
Metallurgically Bonded Circular Foil Heating Rate Sensor
,” Hy Cal Engineering, Gibraltar, MI, U.S. Patent No.
US3280626 A
.https://www.google.com/patents/US3280626
32.
Trimmer
,
L. L.
,
Matthews
,
R. K.
, and
Buchanan
,
T. D.
,
1973
, “
Measurement of Aerodynamic Heat Rates at the Von Kármán Facility
,” International Congress on Instrumentation in Aerospace Simulation Facilities (ICIASF), Pasadena, CA, Sept. 10–12, pp.
35
44
.
33.
Lee
,
Y. H.
,
Koo
,
S. W.
, and
Choi
,
J. H.
,
2005
, “
Heat-Flux Gage, Manufacturing Method and Manufacturing Device Thereof
,” Agency for Defense Development, Daejeon, South Korea, U.S. Patent No.
US6837614 B2
http://www.google.tl/patents/US6837614.
34.
Malone
,
E. W.
,
1968
, “
Design and Calibration of Thin-Foil Heat Flux Sensors
,”
ISA Trans.
,
7
(
3
), pp.
175
180
.
35.
Ash
,
R. L.
,
1969
, “
Response Characteristics of Thin-Foil Heat Flux Sensors
,”
AIAA J.
,
7
(
12
), pp.
2332
2335
.
36.
Kirchhoff
,
R. H.
,
1972
, “
Response of Finite-Thickness Gardon Heat Flux Sensors
,”
ASME J. Heat Transfer
,
94
(
2
), pp.
244
245
.
37.
Keltner
,
N. R.
, and
Wildin
,
M. W.
,
1975
, “
Transient Response of Circular Foil Heat-Flux Gauges to Radiative Fluxes
,”
Rev. Sci. Instrum.
,
46
(
9
), pp.
1161
1166
.
38.
Grothus
,
M. A.
,
Mulholland
,
G. P.
,
Hills
,
R. G.
, and
Marshall
,
B. W.
,
1983
, “
The Transient Response of Circular Foil Heat Flux Gages
,” Sandia National Laboratories, Albuquerque, NM, Report No. SAND83-0263.
39.
Prasad
,
B. V.
, and
Mohanty
,
A. K.
,
1983
, “
Analysis and Calibration of a Foil Heat Flux Sensor for Convective Measurements
,”
J. Phys. E: Sci. Instrum.
,
16
(
11
), pp.
1095
1099
.
40.
Kuo
,
C. H.
, and
Kulkarni
,
A. K.
,
1991
, “
Analysis of Heat Flux Measurement by Circular Foil Gages in a Mixed Convection/Radiation Environment
,”
ASME J. Heat Transfer
,
113
(
4
), pp.
1037
1040
.
41.
ASTM
,
2007
, “
Standard Test Method for Measuring Heat Flux Using a Copper-Constantan Circular Foil, Heat-Flux Transducer
,” ASTM International, West Conshohocken, PA, Standard No.
E511-07
.https://www.astm.org/DATABASE.CART/HISTORICAL/E511-07.htm
42.
Lytle
,
D.
, and
Webb
,
B. W.
,
1994
, “
Air Jet Impingement Heat Transfer at Low Nozzle-Plate Spacings
,”
Int. J. Heat Mass Transfer
,
37
(
12
), pp.
1687
1697
.
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