This paper presents a thermal model describing heat transfer in multispan sandwich rectangular plates. The model is time-dependent and two-dimensional. Complex thermal phenomena occurring in light cores (honeycomb) and thermal contact resistance are taken into account in the model. Particular attention is paid to the boundary conditions on the faces of the plate: radiative and nonuniform convective exchange are taken into account. The global temperature solution for stationary cases is developed on trigonometric and exponential functions bases. The properties of the Laplace transform are used to solve time-dependent cases. Validation experiments are carried out in a wind tunnel ring for two-span plates submitted to convective exchanges on one face; the same configuration is reproduced for an aluminum sandwich plate in an industrial set-up bench. Experimental results agree well with the numerical simulation.

Issue Section:
Forced Convection
Keywords:
Conduction, Forced Convection, Modeling and Scaling, Composite Materials
Topics:
Boundary-value problems, Heat transfer, Modeling, Plates (structures), Aluminum, Composite materials, Computer simulation, Contact resistance, Forced convection, Heat conduction, Honeycomb structures, Laplace transforms, Temperature, Wind tunnels
1.
Aggarwal
S. K.
, and
Manhapra
A.
,
1989
, “
Transient natural convection in a cylindrical enclosure non-uniformly heated at the top wall
,”
Numerical Heat Transfer
, Part A, Vol.
15
, p.
341
341
.
2.
Buchberg
H.
,
Catton
I.
, and
Edwards
D. K.
,
1973
, “
Natural Convection in Enclosed Spaces: A Review of Applications to Solar Energy Collection
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
95
, p.
182
182
.
3.
Cane
R. L. D.
,
Hollands
K. G. T.
,
Raythby
G. D.
, and
Unny
T. E.
,
1977
, “
Free Convection Heat Transfer Across Inclined Honeycomb Panels
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
99
, p.
86
86
.
4.
Chen
R. S.
, and
Hwang
G. J.
,
1989
a, “
Effect of Wall Conduction on Combined Free and Forced Laminar Convection in Horizontal Tubes
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
111
, p.
581
581
.
5.
Chen
R. S.
, and
Hwang
G. J.
,
1989
b, “
Three-dimensional laminar natural convection in a honeycomb enclosure with hexagonal end walls
,”
Numerical Heat Transfer
, Part A, Vol.
15
, p.
67
67
.
6.
Cousteix, J., 1989a, Ae´rodynamique—Couche limite laminaire, Editions CEP-ADUES.
7.
Cousteix, J., 1989b, Ae´rodynamique—Turbulence et couche limite turbulente, Editions CEPADUES.
8.
Degiovanni
A.
,
1993
, “
Conduction dans un “mur” multicouche avec sources: Extension de la notion de quadripoˆle
,”
International Journal of Heat and Mass Transfer
, Vol.
31
, No.
3
, p.
553
553
.
9.
Degiovanni, A., Lamine, A. S., and Moyne, C., 1990, “Thermal contact in transient states: A new model and two experiments,” AIAA 90’ Aerospace Sciences Meeting, Jan. 8–11, Reno, NV.
10.
Dumoulin, J., 1994, “Me´thode de de´termination, par thermographic infrarouge, des coefficients d’e´change de chaleur moyen et instationnaires en are´rodynamique perturbe´e,” the`se de l’INSA Toulouse, Toulouse, France.
11.
Fletcher
L. S.
,
1988
, “
Recent Development in Contacts Conductance Heat Transfer
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
110
, p.
1059
1059
.
12.
Hollands, K. G. T., 1973, “Natural Convection in Horizontal Thin-Walled Honeycomb Panels,” ASME JOURNAL OF HEAT TRANSFER, Nov., p. 439.
13.
Houlbert, A. S., 1992, “Caracte´risation thermique des parois composites opaques—proble`mes d’homoge´ne´isation,” the`se du LEMTA INP de Lorraine, Lorraine, France.
14.
Lock
G. S. H.
, and
Zhao
L.
,
1992
, “
Natural convection in honeycomb wall spaces
,”
International Journal of Heat and Mass Transfer
, Vol.
55
, No.
1
, p.
155
155
.
15.
Madhusudana
C. V.
, and
Fletcher
L. S.
,
1985
, “
Contact Heat Transfer—the last decade
,”
AIAA Journal
, Vol.
24
, No.
3
, p.
510
510
.
16.
Marcus
S. L.
,
1983
, “
An approximate method for calculating the heat flux through a solar collector honeycomb
,”
Solar Energy
, Vol.
30
, No.
2
, p.
127
127
.
17.
Mavroukalis, A., Trombe, A., and Moisson, M., 1996, “Code de calcul D.A.R.C.,” LETHEM, INSA Toulouse, Toulouse, France.
18.
Murer, Y., 1998, “Caracte´risation des comportements thermique et vibroacoustique des composites multicouches et sandwichs,” the`se de Doctorat de l’ENSAE Toulouse, Toulouse, France.
19.
O¨zisik, M. N., 1993, Heat Conduction, 2nd Ed., John Wiley and Sons, New York.
20.
Reulet, P., 1997, “Caracte´risation expe´rimentale des e´changes thermiques instationnaires en are´rodynamique perturbe´e,” the`se de Doctorat de l’ENSAE Toulouse, Toulouse, France.
21.
Sadhal
S. S.
,
1980
, “
Transient thermal response of two solids in contact over a circular disc
,”
International Journal of Heat and Mass Transfer
, Vol.
23
, p.
731
731
.
22.
Sadhal
S. S.
,
1981
, “
Unsteady Flow Between Solids With Partially Contacting Interface
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
103
, p.
32
32
.
23.
Stehfest
H.
,
1970
, “
Algorithm 368 Numerical inversion of Laplace transform
,”
ACM 13
, Vol.
1
, p.
47
47
.
24.
Stevenson
P. F.
,
Peterson
G. P.
, and
Fletcher
L. S.
,
1991
, “
Thermal Rectification in Similar and Dissimilar Metal Contacts
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
113
, p.
30
30
.
25.
Sunden
B.
,
1988
, “
Transient conduction in a cylindrical shell with a time varying heat flux and convective and radiative surface cooling
,”
International Journal of Heat and Mass Transfer
, Vol.
32
, No.
3
, p.
575
575
.
26.
Taine, J., and Petit, J. P., 1989, “Cours de transferts thermique: Me´canique des fluides anisothermes,” Dunod Universite´.
27.
Tien
C. L.
, and
Yuen
W. W.
,
1975
, “
Radiation characteristics of honeycomb solar collectors
,”
International Journal of Heat and Mass Transfer
, Vol.
18
, p.
1409
1409
.
This content is only available via PDF.
Copyright © 1998
 by The American Society of Mechanical Engineers
You do not currently have access to this content.