Steady-state experiments with one-dimensional and two-dimensional calorimeters were used to study the convective heat transfer near sharp steps in wall temperature in a turbulent boundary layer. Data acquired under low and high freestream turbulence conditions indicated that spanwise turbulent diffusion is not a significant heat transport mechanism for a two-dimensional temperature step. The one-dimensional calorimeter heat transfer data were predicted within ±5 percent using the STAN7 boundary layer code for situations with an abrupt wall temperature step. The conventional correlation with an unheated starting length correction, in contrast, greatly under-predicts the heat transfer for the same experimental cases. A new correlation was developed that is in good agreement with near and far-field semi-analytical solutions and predicts the calorimeter heat transfer data to within ±2 percent for temperature step boundary condition cases.

Issue Section:
Forced Convection
Keywords:
forced convection, boundary layer turbulence, calorimetry, Boundary Layer, Convection, Experimental, Forced Convection, Heat Transfer, Turbulent
Topics:
Boundary layers, Heat transfer, Temperature, Turbulence, Wall temperature, Convection, Boundary-value problems
1.
Reynolds, W. C., Kays, W. M., and Kline, S. J., 1958, “Heat Transfer in the Turbulent Incompressible Boundary Layer—Step Wall Temperature Boundary Conditions,” NASA Memo 12-2-58W, Washington, D.C.
2.
Reynolds, W. C., Kays, W. M., and Kline, S. J., 1958, “Heat Transfer in the Turbulent Incompressible Boundary Layer—Arbitrary Wall Temperature and Heat Flux,” NASA Memo 12-3-58W, Washington, D.C.
3.
Taylor
,
R. P.
,
Love
,
P. H.
,
Coleman
,
H. W.
, and
Hosni
,
M. H.
,
1990
, “
Heat Transfer Measurements in Incompressible Turbulent Flat Plate Boundary Layers With Step Wall Temperature Boundary Conditions
,”
ASME J. Heat Transfer
,
112
, pp.
245
–
247
.
4.
Taylor
,
R. P.
,
Hosni
,
M. H.
,
Garner
,
J. W.
, and
Coleman
,
H. W.
,
1992
, “
Rough-Wall Turbulent Heat Transfer With Step-Wall Temperature Boundary Conditions
,”
J. Thermophys. Heat Transfer
,
6
, pp.
84
–
90
.
5.
Saetran, L. R., 1989, “Turbulent Boundary Layer With a Step in the Wall Temperature,” Forum on Turbulent Flows-ASME Fluids Eng. Div. Publ. FED, 76, pp. 107–114.
6.
Browne
,
L. W. B.
, and
Antonia
,
R. A.
,
1979
, “
Calculation of a Turbulent Boundary Layer Downstream of a Step Change in Surface Temperature
,”
ASME J. Heat Transfer
,
101
, pp.
144
–
150
.
7.
Kestin
,
J.
, and
Persen
,
L. N.
,
1962
, “
The Transfer of Heat Across a Turbulent Boundary Layer at Very High Prandtl Numbers
,”
Int. J. Heat Mass Transfer
,
5
, pp.
355
–
371
.
8.
Antonia
,
R. A.
,
Danh
,
H. Q.
, and
Prabhu
,
A.
,
1977
, “
Response of a Turbulent Boundary Layer to a Step Change in Heat Flux
,”
J. Fluid Mech.
,
80, part 1
, pp.
153
–
177
.
9.
Subramanian
,
C. S.
, and
Antonia
,
R. A.
,
1981
, “
Response of a Turbulent Boundary Layer to a Sudden Decrease in Wall Heat Flux
,”
Int. J. Heat Mass Transfer
,
24
, pp.
1641
–
1647
.
10.
Teitel
,
M.
, and
Antonia
,
R. A.
,
1993
, “
A Step Change in Wall Heat Flux in a Turbulent Channel Flow
,”
Int. J. Heat Mass Transfer
,
36
, pp.
1707
–
1709
.
11.
Elkins
,
C. J.
, and
Eaton
,
J. K.
,
2000
, “
Turbulent Heat and Momentum Transport on a Rotating Disk
,”
J. Fluid Mech.
,
402
, pp.
225
–
253
.
12.
Kays, W. M., and Crawford, M. E., 1993, Convective Heat and Mass Transfer, 3rd ed., McGraw Hill Book Co., Inc.
13.
Batchelder
,
K. A.
, and
Eaton
,
J. K.
,
2001
, “
Practical Experience With the Discrete Green’s Function Approach to Convective Heat Transfer
,”
ASME J. Heat Transfer
,
123
, pp.
70
–
76
.
14.
Batchelder, K. A., and Moffat, R. J., 1997, “Towards a Method for Measuring Heat Transfer in Complex 3-D Flows,” Ph.D. thesis, Department of Mechanical Engineering, Stanford University, Stanford, CA.
Copyright © 2004
 by ASME
You do not currently have access to this content.