Transient cooling experiments of a heated vertical aluminum plate with an embedded heater, in quiescent air, were conducted for the simultaneous estimation of total hemispherical emissivity and specific heat of the plate material. During cooling, the heat loss from the hot plate by natural convection and radiation was taken into account. During the experiments, plate temperatures were recorded at several locations using a data acquisition system. A numerically computed transient response of the plate is then compared with the experimentally known transient response to estimate the residual, the minimization of which using Levenberg–Marquardt’s iterative procedure retrieves the parameters pertinent to the problem. The experiments were conducted for three different surface emissivities of the plate obtained by using suitable surface treatment. A consistency test for the present approach was also done by conducting transient heating experiments using the retrieved values of parameters and a comparison of simulated and calculated natural convection heat transfer coefficients as a function of temperature. The experiments have been performed over a temperature range of 320430K and a Rayleigh number range of 2×1062×107. The emissivity values are in good agreement with previous reported results.

1.
Kribus
,
A.
,
Vishnevetsky
,
I.
,
Rotenberg
,
E.
, and
Yakir
,
D.
, 2003, “
Systematic Errors in the Measurement of Emissivity Caused by Directional Effects
,”
Appl. Opt.
0003-6935,
42
, pp.
1839
1846
.
2.
Krishnan
,
A. S.
,
Balaji
,
C.
, and
Venkateshan
,
S. P.
, 2003, “
A Synergistic Approach to Parameter Estimation in Multimode Heat Transfer
,”
Int. Commun. Heat Mass Transfer
0735-1933,
40
, pp.
515
524
.
3.
Cezairliyan
,
A.
, 1984, “
A Dynamic Technique for Measurements of Thermo Physical Properties at High Temperatures
,”
Int. J. Thermophys.
0195-928X,
5
, pp.
177
193
.
4.
Masuda
,
H.
, and
Higano
,
M.
, 1988, “
Measurement of Total Hemispherical Emissivities of Metal Wires by Using Transient Calorimetric Technique
,”
ASME J. Heat Transfer
0022-1481,
110
, pp.
166
172
.
5.
Sasaki
,
S.
,
Masuda
,
H.
,
Higano
,
M.
, and
Hishinuma
,
N.
, 1994, “
Simultaneous Measurement of Specific Heat and Total Hemispherical Emissivity of Chromel and Alumel by a Transient Calorimetric Technique
,”
Int. J. Thermophys.
0195-928X,
15
, pp.
547
565
.
6.
Tanda
,
G.
, and
Misale
,
M.
, 2006, “
Measurement of Total Hemispherical Emittance and Specific Heat of Aluminum and Inconel 718 by a Calorimetric Technique
,”
ASME J. Heat Transfer
0022-1481,
128
, pp.
302
306
.
7.
Churchill
,
S. W.
, and
Chu
,
H. H. S.
, 1975, “
Correlating Equations for Laminar and Turbulent Free Convection From a Vertical Plate
,”
Int. J. Heat Mass Transfer
0017-9310,
18
, pp.
1323
1329
.
8.
Beck
,
J. V.
,
Blackwell
,
B.
, and
St. Clair
, Jr.,
C. R.
, 1985,
Inverse Heat Conduction
,
Wiley
,
New York
.
9.
Sawaf
,
B.
,
Ozisik
,
M. N.
, and
Jarny
,
Y.
, 1995, “
An Inverse Analysis to Estimate Linearly Temperature Dependent Thermal Conductivity Components and Heat Capacity of an Orthotropic Medium
,”
Int. J. Heat Mass Transfer
0017-9310,
38
, pp.
3005
3010
.
10.
Levenberg
,
K. A.
, 1944, “
Method for the Solution of Certain Non-Linear Problems in Least Squares
,”
Q. Appl. Math.
0033-569X,
2
, pp.
164
168
.
11.
Marquardt
,
D. W.
, 1963, “
An Algorithm for Least-Squares Estimation of Nonlinear Parameters
,”
J. Soc. Ind. Appl. Math.
0368-4245,
11
, pp.
431
441
.
12.
Deiveegan
,
M.
,
Balaji
,
C.
, and
Venkateshan
,
S. P.
, 2006, “
Comparison of Various Methods for Simultaneous Retrieval of Surface Emissivities and Gas Properties in Gray Participating Media
,”
ASME J. Heat Transfer
0022-1481,
128
, pp.
829
837
.
13.
Zhang
,
B.
,
Redgrove
,
J.
, and
Clark
,
J.
, 2004, “
A Transient Method for Total Emissivity Estimation
,”
Int. J. Thermophys.
0195-928X,
25
, pp.
423
438
.
14.
Masuda
,
M.
, and
Higano
,
M.
, 1985, “
Transient Calorimetric Technique for Measuring Total Hemispherical Emissivities of Metals With Rigorous Evaluation of Heat Loss Through Thermocouple Leads
,”
J. Opt. Soc. Am. A
0740-3232,
2
, pp.
1877
1882
.
15.
Rammohan Rao
,
V.
, and
Venkateshan
,
S. P.
, 1991, “
Parameter Estimation—Imbedding Technique Verses Least Square Residual Method
,”
Heat and Mass Transfer, Proceedings of the 11th National Heat and Mass Transfer Conference
, Madras, India,
Tata McGraw-Hill
,
New Delhi
, pp.
303
308
.
16.
ASM Metals Handbook, 1990, “
Properties of Wrought Aluminum and Aluminum Alloys
,”
ASM International Hand Book Committee
,
10th
ed., Vol.
2
, pp.
62
122
.
17.
Holman
,
J. P.
, 2001,
Experimental Methods for Engineers
,
7th ed.
,
McGraw-Hill
,
New York
.
You do not currently have access to this content.