Abstract

High-temperature materials such as ceramic matrix composites (CMCs) are promising for advancements in gas turbine engines; however, experimental techniques are necessary to characterize the thermal behavior of high-temperature materials in scaled representative environments. In turbine cooling applications, the results of low-temperature experiments in laboratories must be scaled to the intended operating conditions to predict the thermal state at high-temperature engine conditions where such measurements are generally not feasible. Scaling of turbine cooling experiments with metallic components has been aided by the fortuitous fact that the thermal conductivity of turbine-relevant metal alloys varies with temperature in such a way that the Biot number is relatively insensitive to temperature, at least to the extent that Biot number affects the overall effectiveness. However, unlike traditional metallic alloys, materials such as CMCs have unique anisotropic thermal conductivities which vary with temperature in quite different ways than traditional metals. The through-thickness and in-plane thermal conductivities of CMCs may vary with temperature in different ways, thereby adding further complexity. Since most existing low-temperature experimental methods were developed with isotropic metallic alloys in mind, it is necessary to consider the potential for errors due to the unique characteristics of composite materials. Analyses to determine the expected Biot number errors for various composite materials were conducted at a range of experimental conditions. These are compared to a traditional metallic alloy for context and computational simulations were performed on the various materials at engine and laboratory conditions. Additionally, a novel technique was implemented to isolate and quantify the effects of both Biot number and fluid property mismatches at low temperatures. The results show overall effectiveness experiments conducted at low temperatures using composite materials will likely have a large error and could significantly skew the expected thermal characteristics of a turbine component. Careful experimental design should be practiced to mitigate the effect that a mismatched Biot number can have on experimental results.

References

1.
Albert
,
J. E.
,
Bogard
,
D. G.
, and
Cunha
,
F.
,
2004
, “
Adiabatic and Overall Effectiveness for a Film Cooled Blade
,”
ASME Turbo Expo 2004
, Paper No. GT2004-5398.
2.
Kays
,
W. M.
,
Crawford
,
M. E.
, and
Weigand
,
B.
,
2005
,
Convective Heat and Mass Transfer
, 4th ed.,
McGraw Hill
,
New York
.
3.
Polanka
,
M. D.
,
Rutledge
,
J. L.
,
Bogard
,
D. G.
, and
Anthony
,
R. J.
,
2017
, “
Determination of Cooling Parameters for a High Speed, True Scale, Metallic Turbine Vane
,”
ASME J. Turbomach.
,
139
(
1
), p.
011001
.
4.
Stewart
,
W. R.
, and
Dyson
,
T. E.
,
2017
, “
Conjugate Heat Transfer Scaling for Inconel 718
,”
ASME Turbo Expo 2017
, Paper No. GT2017-64873.
5.
Özışık
,
M. N.
,
1980
,
Heat Conduction
,
John Wiley & Sons
,
New York
.
6.
DiCarlo
,
J. A.
, and
van Roode
,
M.
,
2006
, “
Ceramic Composite Development for Gas Turbine Engine Hot Section Components
,”
ASME Turbo Expo 2006
, Paper No. GT2006-90151.
7.
Boyle
,
R. J.
,
Parikh
,
A. H.
, and
Nagpal
,
V. K.
,
2019
, “
Design Considerations for Ceramic Matrix Composite High Pressure Turbine Blades
,”
ASME Turbo Expo 2019
, Paper No. GT2019-91787.
8.
Bryant
,
C. E.
, and
Rutledge
,
J. L.
,
2021
, “
Conjugate Heat Transfer Simulations to Evaluate the Effect of Anisotropic Thermal Conductivity on Overall Cooling Effectiveness
,”
ASME J. Thermal Sci. Eng. Appl.
,
13
(
6
), p.
061013
.
9.
Tu
,
Z.
,
Mao
,
J.
,
Jiang
,
H.
,
Han
,
X.
, and
He
,
Z.
,
2017
, “
Numerical Method for the Thermal Analysis of a Ceramic Matrix Composite Turbine Vane Considering the Spatial Variation of the Anisotropic Thermal Conductivity
,”
Appl. Therm. Eng.
,
127
, pp.
436
452
.
10.
Tu
,
Z.
,
Mao
,
J.
, and
Han
,
X.
,
2017
, “
Numerical Study of Film Cooling Over a Flat Plate With Anisotropic Thermal Conductivity
,”
Appl. Therm. Eng.
,
111
, pp.
968
980
.
11.
Lemmon
,
E. W.
,
Bell
,
I. H.
,
Huber
,
M. L.
, and
McLinden
,
M. O.
,
2018
, “
NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 10.0, National Institute of Standards and Technology, Standard Reference Data Program
”.
12.
Publication Number SMC-045, Copyright © Special Metals Corporation
,
2007
.
13.
Sen
,
B.
,
Schmidt
,
D. L.
, and
Bogard
,
D. G.
,
1996
, “
Film Cooling With Compound Angle Holes: Heat Transfer
,”
ASME J. Turbomach.
,
118
(
4
), pp.
800
806
.
14.
Albert
,
J. E.
, and
Bogard
,
D. G.
,
2013
, “
Measurements of Adiabatic Film and Overall Cooling Effectiveness on a Turbine Vane Pressure Side With a Trench
,”
ASME J. Turbomach.
,
135
(
5
), p.
051007
.
15.
Williams
,
R. P.
,
Dyson
,
T. E.
,
Bogard
,
D. G.
, and
Bradshaw
,
S. D.
,
2014
, “
Sensitivity of the Overall Effectiveness to Film Cooling and Internal Cooling on a Turbine Vane Suction Side
,”
ASME J. Turbomach.
,
136
(
3
), p.
031006
.
16.
Rubio
,
V.
,
Ramanujam
,
P.
,
Cousinet
,
S.
,
LePage
,
G.
,
Ackerman
,
T.
,
Hussain
,
A.
,
Brown
,
P.
,
Dautremonte
,
I.
, and
Binner
,
J.
,
2020
, “
Thermal Properties and Performance of Carbon Fiber-Based Ultra-High Temperature Ceramic Matrix Composites (Cf-UHTCMCs)
,”
J. Am. Ceram. Soc.
,
103
(
6
), pp.
3788
3796
.
17.
Mills-Brown
,
J.
,
Potter
,
K.
,
Foster
,
S.
, and
Batho
,
T.
,
2013
, “
Thermal and Tensile Properties of Polysialate Composites
,”
Ceram. Int.
,
39
(
8
), pp.
8917
8924
.
18.
Schroeder
,
R. P.
, and
Thole
,
K. A.
,
2014
, “
Adiabatic Effectiveness Measurements for a Baseline Shaped Film Cooling Hole
,”
ASME Turbo Expo 2014
, Paper No. GT2014-25992.
19.
Bryant
,
C. E.
, and
Rutledge
,
J. L.
,
2020
, “
A Computational Technique to Evaluate the Relative Influence of Internal and External Cooling on Overall Effectiveness
,”
ASME J. Turbomach.
,
142
(
5
), p.
051008
.
20.
McNamara
,
L. J.
,
Fischer
,
J. P.
,
Kernan
,
M.
, and
Rutledge
,
J. L.
,
2022
, “
Scaling Flat Plate Overall Effectiveness Measurements
,”
ASME Turbo Expo 2022
, Paper No. GT2022-81826.
21.
Rutledge
,
J. L.
, and
Polanka
,
M. D.
,
2014
, “
Computational Fluid Dynamics Evaluations of Unconventional Film Cooling Scaling Parameters on a Simulated Turbine Blade Leading Edge
,”
ASME J. Turbomach.
,
136
(
10
), p.
101006
.
22.
Wiese
,
C. J.
, and
Rutledge
,
J. L.
,
2021
, “
The Effects of Specific Heat and Viscosity on Film Cooling Behavior
,”
ASME J. Turbomach.
,
143
(
4
), p.
041008
.
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