The thermal response of a one-dimensional plane wall to sequential heating and cooling is considered. Of interest is the thermal response at the midplane of the wall in terms of the extreme temperatures that evolve after heating subsides. Correlations are generated to estimate the extreme temperatures and the times at which they occur.

1.
Carslaw
,
H. S.
, and
Jaeger
,
J. C.
, 1986,
Conduction of Heat in Solids
,
2nd ed.
,
Oxford University Press
,
London
.
2.
Schneider
,
P. J.
, 1957,
Conduction Heat Transfer
,
Addison-Wesley
,
Reading, MA
.
3.
Kakac
,
S.
, and
Yener
,
Y.
, 1993,
Heat Conduction
,
Taylor & Francis
,
Washington, D.C
.
4.
Poulikakos
,
D.
, 1994,
Conduction Heat Transfer
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
5.
Gebhart
,
B.
, 1993,
Heat Conduction and Mass Diffusion
,
McGraw-Hill
,
New York
.
6.
Jin
,
Z. Q.
, and
Liu
,
J. P.
, 2006 “
Rapid Thermal Processing of Magnetic Materials
,”
J. Phys. D
0022-3727,
39
, pp.
R227
R244
.
7.
Xie
,
L. F.
,
Watanabe
,
H.
, and
Mihori
,
T.
, 1997, “An Inverse Method for Achieving Correct Heat Sterilization of Conduction-Heated Food With Come-Up Heating,” J. Japanese Society for Food Science and Technology, 7, pp. 470–476.
8.
Bellara
,
S. R.
,
McFarlane
,
C. M.
,
Thomas
,
C. R.
, and
Fryer
,
P. J.
, 2000, “
The Growth of Esherichia coli in a Food Simulant During Conduction Cooling: Combining Engineering and Microbiological Modelling
,”
Chem. Eng. Sci.
0009-2509,
55
, pp.
6085
6095
.
9.
Fu
,
Y. F.
,
Wong
,
Y. L.
,
Poon
,
C. S.
, and
Tang
,
C. A.
, 2007, “
Numerical Tests of Thermal Cracking Induced by Temperature Gradient in Cement-Based Composites Under Thermal Loads
,”
Cem. Concr. Compos.
0958-9465,
29
, pp.
103
116
.
10.
Liu
,
L.
, and
Kardomateas
,
G. A.
, 2006, “
Thermal Buckling of a Fire-Damaged Composite Column Exposed to Heat Flux
,”
AIAA J.
0001-1452,
44
, pp.
2024
2033
.
11.
Wang
,
C.
,
Tang
,
G. C.
,
Wang
,
B.
,
Zevallos
,
M.
, and
Alfano
,
R. R.
, 2006, “
Detection of Subsurface Defects Using a Hybrid Heating and Cooling Imaging Technique
,”
Appl. Phys. Lett.
0003-6951,
88
, p.
194101
.
12.
Incropera
,
F. P.
,
DeWitt
,
D. P.
,
Bergman
,
T. L.
, and
Lavine
,
A. S.
, 2007,
Fundamentals of Heat and Mass Transfer
,
Wiley
,
New York
.
You do not currently have access to this content.