The objective of this research has been to experimentally investigate the fluid dynamics of pin fin arrays in order to clarify the physics of heat transfer enhancement and uncover problems in conventional turbulence models. The fluid dynamics of a staggered pin fin array has been studied using hot wire anemometry with both single- and x-wire probes at array Reynolds numbers of 3000, 10,000, and 30,000. Velocity distributions off the endwall and pin surface have been acquired and analyzed to investigate turbulent transport in pin fin arrays. Well resolved 3D calculations have been performed using a commercial code with conventional two-equation turbulence models. Predictive comparisons have been made with fluid dynamic data. In early rows where turbulence is low, the strength of shedding increases dramatically with increasing Reynolds numbers. The laminar velocity profiles off the surface of pins show evidence of unsteady separation in early rows. In row three and beyond, laminar boundary layers off pins are quite similar. Velocity profiles off endwalls are strongly affected by the proximity of pins and turbulent transport. At the low Reynolds numbers, the turbulent transport and acceleration keep boundary layers thin. Endwall boundary layers at higher Reynolds numbers exhibit very high levels of skin friction enhancement. Well-resolved 3D steady calculations were made with several two-equation turbulence models and compared with experimental fluid mechanic and heat transfer data. The quality of the predictive comparison was substantially affected by the turbulence model and near-wall methodology.

1.
Metzger
,
D. E.
, and
Haley
,
S. W.
, 1982, “
Heat Transfer Experiments and Flow Visualization for Arrays of Short Pin Fins
,” ASME Paper No. 82-GT-138.
2.
Simoneau
,
R. J.
, and
Van Fossen
,
G. J.
, 1984, “
Effect of Location in an Array on Heat Transfer to a Short Cylinder in Crossflow
,”
ASME J. Heat Transfer
0022-1481,
106
, pp.
42
48
.
3.
Ames
,
F. E.
,
Dvorak
,
L. A.
, and
Morrow
,
M. J.
, 2005, “
Turbulent Augmentation of Internal Convection of Pins in Staggered Pin Fin Arrays
,”
ASME J. Turbomach.
0889-504X,
127
, pp.
183
190
.
4.
Baughn
,
J. W.
, and
Saniei
,
N.
, 1990, “
Local Heat Transfer Measurements on Arrays of Pin Fins in a Rectangular Duct
,”
Proceedings of the Ninth International Heat Transfer Conference
, Jerusalem, Hemisphere, New York.
5.
Ames
,
F. E.
, and
Moffat
,
R. J.
, 1990, “
Heat Transfer With High Intensity, Large Scale Turbulence: The Flat Plate Turbulent Boundary Layer and the Cylindrical Stagnation Point
,” Report No. HMT-44, Thermosciences Division of Mechanical Engineering,
Stanford University
.
6.
Zukauskas
,
A.
, and
Ziugzda
,
J.
, 1985,
Heat Transfer of a Cylinder in Crossflow
,
Hemisphere Publishing Corporation
, New York.
7.
Hunt
,
J. C. R.
, and
Graham
,
J. M. R.
, 1978, “
Free-Stream Turbulence Near Plane Boundaries
,”
J. Fluid Mech.
0022-1120,
84
, pp.
205
235
.
8.
Thomas
,
N. H.
, and
Hancock
,
P. E.
, 1977, “
Grid Turbulence Near a Moving Wall
,”
J. Fluid Mech.
0022-1120,
82
, Part 3, pp.
481
.
9.
Armstrong
,
J.
, and
Winstanley
,
D.
, 1988, “
A Review of Staggered Array Pin Fin Heat Transfer for Turbine Cooling Applications
,”
ASME J. Turbomach.
0889-504X,
110
, pp.
94
103
.
10.
Jacob
,
M.
, 1938, “
Heat Transfer and Flow Resistance in Cross Flow of Gases Over Tube Banks
,”
Trans. ASME
0097-6822,
59
, pp.
384
386
.
11.
Metzger
,
D. E.
,
Fan
,
C. S.
, and
Shepard
,
W. B.
, 1982, “
Pressure Loss and Heat Transfer Through Multiple Rows of Short Pins
,”
Heat Transfer 1982
,
Hemisphere
, Washington, DC, Vol.
3
, pp.
137
142
.
12.
Metzger
,
D. E.
,
Shepard
,
W. B.
, and
Haley
,
S. W.
, 1986, “
Row Resolved Heat Transfer Variations in Pin Fin Arrays Including Effects of Nonuniform Arrays and Flow Convergence
,” ASME Paper No. 86-GT-132.
13.
Chyu
,
M. K.
,
Hsing
,
Y. C.
,
Shih
,
T. I.-P.
, and
Natarajan
,
V.
, 1998, “
Heat Transfer Contributions of Pins and Endwall in Pin-fin Arrays: Effects of Thermal Boundary Conditions Modeling
,”
ASME J. Turbomach.
0889-504X,
121
, pp.
257
263
.
14.
Miller
,
R. W.
, 1996,
Flow Measurement Engineering Handbook
, 3rd ed.,
McGraw-Hill
, New York.
15.
Dvorak
,
L. A.
, 2004, “
Turbulent Augmentation of Heat Transfer Off Pin and Endwall Surfaces in a Staggered Pin Fin Array
,” Master’s Thesis, Mechanical Engineering Dept., University of North Dakota.
16.
Jorgensen
,
F. E.
, 1971, “
Directional Sensitivity of Wire and Fiber Film Probes, an Experimental Study
,” DISA Information, May 1971, No.
11
, pp.
31.37
.
17.
Hinze
,
J.
, 1975,
Turbulence
, 2nd ed.,
McGraw-Hill
, New York.
18.
Moffat
,
R. J.
, 1988, “
Describing Uncertainties in Experimental Results
,”
Exp. Therm. Fluid Sci.
0894-1777,
1
, pp.
3
17
.
19.
FLUENT 6.0, 2001, FLUENT 6.0 User’s Guide, Fluent, Inc., Lebanon, N.H.
20.
Wolfstein
,
M.
, 1969, “
The Velocity and Temperature Distribution of One-Dimensional Flow With Turbulence Augmentation and Pressure Gradient
,”
Int. J. Heat Mass Transfer
0017-9310,
12
,
301
318
.
21.
Kays
,
W. M.
, and
Crawford
,
M. E.
, 1993,
Convective Heat and Mass Transfer
, 3rd ed.,
McGraw-Hill
, New York.
22.
White
,
F. M.
, 1991,
Viscous Fluid Flow
, 2nd ed.,
McGraw-Hill
, New York.
23.
Ames
,
F. E.
, 1994, “
Experimental Study of Vane Heat Transfer and Aerodynamics at Elevated Levels of Turbulence
,” NASA CR-4633.
24.
Ames
,
F. E.
,
Solberg
,
C. S.
,
Goman
,
M. D.
,
Curtis
,
D. J.
, and
Steinbrecker
,
B. T.
, 2001, “
Experimental Measurements and Computations of Heat Transfer and Friction Factor in a Staggered Pin Fin Array
,” ASME Paper No. DETC 2001/CIE-21761.
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