The work presented here is the first reported study to test the general correlation for turbulent heat transfer proposed by Maciejewski and Anderson (1996). A turbulent pipe flow apparatus was built for heat transfer and fluid studies. Tests were performed for a range of Reynolds numbers from 27,000 to 90,000. The heated wall temperature, adiabatic temperature, the wall heat flux, and the maximum velocity fluctuations were measured at each Reynolds number. The nondimensional groups recommended by Maciejewski and Anderson were formed and compared to the correlation. The results verify the correlation with agreement to within ±7 percent (as per Fig. 11). This study has important implications for the study of heat transfer in a wide range of fields, including the gas turbine industry. The development of a geometry independent correlation will lead to faster turn-around times and improved engine design.

1.
Anderson, A. M., and Moffat, R. J., 1990, “Convective Heat Transfer From Arrays of Modules With Non-uniform Heating: Experiments and Models,” Rept No. HMT-43, Department of Mechanical Engineering, Stanford University, Stanford, CA.
2.
Anderson
A. M.
, and
Moffat
R. J.
,
1992
a, “
The Adiabatic Heat Transfer Coefficient and the Superposition Kernel Function: Part 1—Data for Arrays of Flat Packs for Different Flow Conditions
,”
ASME Journal of Electronic Packaging
, Vol.
114
, pp.
14
21
.
3.
Anderson
A. M.
, and
Moffat
R. J.
,
1992
b, “
The Adiabatic Heat Transfer Coefficient and the Superposition Kernel Function: Part 2—Modeling Flat Pack Data as a Function of Channel Turbulence
,”
ASME Journal of Electronic Packaging
, Vol.
114
, pp.
22
28
.
4.
Bridgman, P. W., 1931, Dimensional Analysis, Yale University Press, New Haven, CT.
5.
Callen, H. B., 1985, Thermodynamics and an Introduction to Thermostatistics, 2nd ed., Wiley, New York.
6.
Dittus, F. W., and Boelter, L. M. K., 1930, Publications in Engineering, University of California, Berkeley, Vol. 2, pp. 443.
7.
Garimella
S. V.
, and
Schlitz
D. J.
,
1992
, “
Enhanced Internal Cooling of Turbine Blades Using Large Scale Roughness Elements
,”
Fundamentals and Applied Heat Transfer Research for Gas Turbine Engines
, ASME HTD-Vol.
226
, pp.
9
15
.
8.
Garimella
S. V.
, and
Schlitz
D. J.
,
1993
, “
Reducing Inter-Chip Temperature Differences in Computers Using Vortex Generators in Forced Convection
,”
ASME Journal of Electronic Packaging
, Vol.
115
, pp.
410
415
.
9.
Hinze, J. O., 1975, Turbulence, McGraw-Hill, New York.
10.
Hollingsworth, D. K., and Moffat, R. J., 1989, “Measurement and Prediction of the Turbulent Thermal Boundary Layer in Water on Flat and Concave Surfaces,” Rept. No. HMT-41, Department of Mechanical Engineering, Stanford University, Stanford, CA.
11.
Kays, W. M., and Crawford, M. E., 1980, Convective Heat and Mass Transfer, McGraw-Hill, New York.
12.
Kline, S. J., and McClintock, F. A., 1953, “Describing Uncertainties in Single Sample Experiments,” Mechanical Engineering, Jan., pp. 3–8.
13.
Maciejewski
P. K.
, and
Moffat
R. J.
,
1992
a, “
Heat Transfer With Very High Free-Stream Turbulence: Part I—Experimental Data
,”
ASME Journal of Heat Transfer
, Vol.
114
, pp.
827
833
.
14.
Maciejewski
P. K.
, and
Moffat
R. J.
,
1992
b, “
Heat Transfer With Very High Free-Stream Turbulence: Part II—Analysis of Results
,”
ASME Journal of Heat Transfer
, Vol.
114
, No.
4
, p.
834
839
.
15.
Maciejewski
P. K.
, and
Anderson
A. M.
,
1996
, “
Elements of a General Correlation for Turbulent Heat Transfer
,”
ASME Journal of Heat Transfer
, Vol.
118
, pp.
287
293
.
16.
Moffat
R. J.
,
1982
, “
Contributions to the Theory of Single Sample Uncertainty Analysis
,”
ASME Journal of Fluids Engineering
, Vol.
104
, pp.
250
260
.
17.
Panton, R. L., 1984, Incompressible Flow, Wiley, New York.
18.
Petukhov, B. S., et al., 1970, Advances in Heat Transfer, Vol. 6, Academic Press, New York.
19.
Schlitz, D. J., 1992, “Localized Enhancement of Heat Transfer From an Array of Heat Sources in Forced Convection,” MS Thesis, Department of Mechanical Engineering, University of Wisconsin—Milwaukee, 1992.
20.
Sedov, L. I., 1959, Similarity and Dimensional Methods in Mechanics, Academic Press, New York.
21.
Sieder
E. N.
, and
Tate
G. E.
,
1936
,
Ind. Eng. Chem.
, Vol.
28
, p.
1429
1429
.
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