The discrete Green’s function (DGF) for convective heat transfer was measured in a fully developed, turbulent pipe flow to test a new technique for simple heat transfer measurement. The $10×10$ inverse DGF, $G−1$, was measured with an element length of approximately one pipe diameter and Reynolds numbers from 30,000 to 100,000 and compared to numerical predictions using a parabolic flow solver called STANTUBE. The advantages of using the DGF method over traditional heat transfer coefficients in predicting the thermal response for flows with nonuniform thermal boundary conditions are also demonstrated.

1.
Kays
,
W. M.
, and
Crawford
,
M. E.
, 1993,
Convective Heat and Mass Transfer
,
McGraw-Hill
, New York, Chaps. 9 and 14.
2.
Siegel
,
R.
,
Sparrow
,
E. M.
, and
Hallman
,
T. M.
, 1958, “
Steady Laminar Heat Transfer in a Circular Tube with Prescribed Wall Heat Flux
,”
Appl. Sci. Res., Sect. A
0365-7132,
7
(
A
), pp
386
392
.
3.
Sleicher
,
C. A.
, and
Tribus
,
M.
, 1957, “
Heat Transfer in a Pipe with Turbulent Flow and Arbitrary Wall-Temperature Distribution
Trans. ASME
0097-6822,
79
, pp.
789
797
.
4.
Batchelder
,
K.
, and
Eaton
,
J. K.
, 2001, “
Practical Experience with the Discrete Green’s Function Approach to Convective Heat Transfer
,”
ASME J. Heat Transfer
0022-1481,
123
, pp.
70
76
.
5.
Vick
,
B.
,
Beale
,
J. H.
, and
Frankel
,
J. I.
, 1987, “
Integral Equation Solution for Internal Flow Subjected to a Variable Heat Transfer Coefficient
,”
ASME J. Heat Transfer
0022-1481,
109
(
4
), pp.
856
860
.
6.
Hacker
,
J. M.
, and
Eaton
,
J. K.
, 1997, “
Measurements of Heat Transfer in a Separated and Reattaching Flow with Spatially Varying Thermal Boundary Conditions
,”
Int. J. Heat Fluid Flow
0142-727X,
18
(
1
), pp
131
141
.
7.
Mukerji
,
D.
, 2002, “
Spatially-Resolved Measurements of Heat Transfer in Turbomachinery Applications
” Thermosciences Division Report, TSD–145, Mechanical Engineering Department, Stanford University, Stanford, CA.
8.
Wang
,
Z.
,
Ireland
,
P. T.
,
Kohler
,
S. T.
, and
Chew
,
J. W.
, 1998, “
Heat Transfer Measurements to a Gas Turbine Cooling Passage with Inclined Ribs
,”
ASME J. Turbomach.
0889-504X,
120
, pp.
63
69
.
9.
Mills
,
A. F.
, 1995,
Heat and Mass Transfer
,
Irwin
, Chicago, IL.
10.
Hsu
,
C.
, 1968, “
Exact Solution to Entry-Region Laminar Heat Transfer with Axial Conduction and the Boundary Condition of the Third Kind
Chem. Eng. Sci.
0009-2509,
23
, pp.
457
468
.
11.
Notter
,
R. H.
, and
Sleicher
,
C. H.
, 1971, “
A Solution to the Turbulent Graetz Problem by Matched Asymptotic Expansions-II The Case of Uniform Wall Heat Flux
Chem. Eng. Sci.
0009-2509,
26
, pp.
559
565
.
12.
Crawford
,
M. E.
, and
Kays
,
W. M.
, 1976, NASA CR–2742.
13.
Notter
,
R. H.
, and
Sleicher
,
C. A.
, 1972, “
A Solution to the Turbulent Graetz Problem—III Fully Developed and Entry Region Heat Transfer Rates
Chem. Eng. Sci.
0009-2509,
27
, pp.
2073
2093
.
14.
Notter
,
R. H.
, 1969, “
Two Problems in Turbulence: A. A Theoretical and Empirical Study of the Limiting Form of the Eddy Diffusivity Near a Wall. B. Matched Asymptotic Expansions Applied to the Turbulent Graetz Problem
” Ph.D. Thesis, University of Washington, Seattle, WA.
15.
Notter
,
R. H.
, and
Sleicher
,
C. H.
, 1971, “
The Eddy Diffusivity in the Turbulent Boundary Layer Near a Wall
Chem. Eng. Sci.
0009-2509,
26
, pp.
161
171
.
16.
Siegel
,
R.
, and
Howell
,
J. R.
, 2002,
Thermal Radiation Heat Transfer
,
Taylor & Francis
, New York, App. B, C.
17.
Kline
,
S. J.
, and
McClintock
,
F. A.
, (1953), “
Describing Uncertainties in Single-Sample Experiments
Mech. Eng. (Am. Soc. Mech. Eng.)
0025-6501, pp.
53
57
.
18.
Moffat
,
R. J.
, (1988), “
Describing the Uncertainties in Experimental Results
Exp. Therm. Fluid Sci.
0894-1777,
1
, no.
1
, pp.
3
17
.
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