Abstract

Low temperature experiments are often performed on models of cooled turbine components in order to predict the temperature of the actual turbine component at engine conditions. Designing the scaled experiment properly takes care beyond simply matching the freestream Reynolds number. For instance, it is well known that for the overall effectiveness to match that at engine conditions, the Biot number of the experimental model must match that of the engine component. Somewhat less clear is the method by which one must scale the coolant flowrate. Widely used coolant flowrate parameters have generally been informed based on the results of adiabatic effectiveness experiments and it remains unclear how well these parameters also allow for matched overall effectiveness, which is highly dependent on internal cooling. In the present work, overall effectiveness distributions were measured on a flat plate with three rows of zero-degree compound angle 7-7-7 shaped holes. The influence of various thermodynamic gas properties was examined using several foreign gases as the coolant while matching coolant flowrate parameters M, I, and ACR. It is shown that the thermal conductivity of the coolant plays an outsized role in the overall effectiveness, but this is not accounted for with any of the traditional coolant flowrate parameters. With significant thermal conductivity variations possible between the coolant and freestream gas at both engine and experimental conditions, consideration of this effect is of vital importance to the experimentalist.

References

1.
Albert
,
J. E.
,
Bogard
,
D. G.
, and
Cunha
,
F.
,
2004
, “
Adiabatic and Overall Effectiveness for a Film Cooled Blade
,”
Proceedings of the ASME Turbo Expo 2004
, Paper No. GT2004-5398.
2.
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
.
3.
Stewart
,
W. R.
, and
Dyson
,
T. E.
,
2017
, “
Conjugate Heat Transfer Scaling for Inconel 718
,”
ASME Turbo Expo 2017
, Paper No. GT2017-64873.
4.
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
.
5.
Sinha
,
A. K.
,
Bogard
,
D. G.
, and
Crawford
,
M. E.
,
1991
, “
Film-Cooling Effectiveness Downstream of a Single Row of Holes With Variable Density Ratio
,”
ASME J. Turbomach.
,
113
(
7
), pp.
442
449
.
6.
Vinton
,
K.
,
Watson
,
T.
,
Wright
,
L.
,
Crites
,
D.
,
Morris
,
M.
, and
Riahi
,
A.
,
2017
, “
Combined Effects of Freestream Pressure Gradient and Density Ratio on the Film Cooling Effectiveness of Round and Shaped Holes on a Flat Plate
,”
ASME J. Turbomach.
,
139
(
4
), p.
041003
.
7.
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
.
8.
Fischer
,
J. P.
,
Rutledge
,
J. L.
,
McNamara
,
L. J.
, and
Polanka
,
M. D.
,
2020
, “
Scaling Flat Plate, Low Temperature Adiabatic Effectiveness Results Using the Advective Capacity Ratio
,”
ASME J. Turbomach.
,
142
(
8
), p.
081010
.
9.
Wiese
,
C. J.
,
Rutledge
,
J. L.
, and
Polanka
,
M. D.
,
2018
, “
Experimental Evaluation of Thermal and Mass Transfer Techniques to Measure Adiabatic Effectiveness With Various Coolant to Freestream Property Ratios
,”
ASME J. Turbomach.
,
140
(
2
), p.
121001
.
10.
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.
11.
Wiese
,
C. J.
,
Bryant
,
C. E.
,
Rutledge
,
J. L.
, and
Polanka
,
M. D.
,
2018
, “
Influence of Scaling Parameters and Gas Properties on Overall Effectiveness on a Leading Edge Showerhead
,”
ASME J. Turbomach.
,
140
(
11
), p.
111007
.
12.
Kays
,
W. M.
,
Crawford
,
M. E.
, and
Weigand
,
B.
,
2005
,
Convective Heat and Mass Transfer
,
McGraw-Hill
,
New York
, pp.
292
323
.
13.
Wiese
,
C. J.
,
Bryant
,
C. E.
, and
Rutledge
,
J. L.
,
2022
, “
Flow Scaling Considerations for Internal Coolant Warming
,”
ASME Turbo Expo 2022
,
Rotterdam, Netherlands
, Paper No. GT2022-81510.
14.
McNamara
,
L. J.
,
Fischer
,
J. P.
,
Rutledge
,
J. L.
, and
Polanka
,
M. D.
,
2021
, “
Scaling Considerations for Thermal and Pressure Sensitive Paint Methods Used to Determine Adiabatic Effectiveness
,”
ASME J. Turbomach.
,
143
(
1
), p.
011004
.
15.
Rutledge
,
J. L.
,
Polanka
,
M. D.
, and
Bogard
,
D. G.
,
2016
, “
The Delta Phi Method of Evaluating Overall Film Cooling Performance
,”
ASME J. Turbomach.
,
138
(
7
), p.
071006
.
16.
Kline
,
S. J.
, and
McClintock
,
F. A.
,
1953
, “
Describing Uncertainties in Single-Sample Experiments
,”
Mech. Eng.
,
75
(
1
), pp.
1
8
.
You do not currently have access to this content.