For heat fluxes ranging above 10 MW/m2 or so, solid surfaces usually experience large thermal stresses and degradation of mechanical properties. The resulting mechanical failure of such surfaces is a primary limitation to the design of thermal systems at extremely high heat flux. This investigation considers the elastic stresses in circular plates subjected to extremely high heat fluxes. A gaussian distributed heat load is applied to one surface of the plate and the heat flux at which yielding occurs is identified. Several candidate materials are examined, accounting for the temperature dependence of yield strength and other properties. The mechanical boundary conditions on the plate are varied. Figures of merit are given for the high flux performance of a number of materials.

Issue Section:
Heat Transfer in Manufacturing
Keywords:
Analytical, Heat Transfer, Materials, Stress
Topics:
Heat flux, Plates (structures), Stress, Heat, Flux (Metallurgy), Accounting, Boundary-value problems, Design, Failure, Heat transfer, Mechanical properties, Temperature effects, Thermal stresses, Thermal systems, Yield strength
1.
Abdou, M. A., et al., 1984, Technical Assessment of the Critical Issues and Problem Areas in High Heat Flux Materials and Component Development, vol. 2 of Magnetic Fusion Energy Plasma Interactive and High Heat Flux Components, DOE Office of Fusion Energy Task Group on High Heat Flux Material and Component Development, Center for Plasma Physics and Fusion Engr., UCLA, Los Angeles, CA.
2.
ASM, 1985, Metals Handbook, 9th ed., American Society for Metals, Metals Park, OH.
3.
Boley, B. A., and Weiner, J. E., 1960, Theory of Thermal Stresses, John Wiley, New York.
4.
Dahbura, R. S., 1996, personal communication, MIT, Cambridge, MA.
5.
Goodier, J. N., 1957, “Thermal Stress and Deformation,” ASME Journal of Applied Meek, September, pp. 467–474.
6.
Holt, J. M., Mindlin, H., and Ho, C. Y., eds., 1995, Structural Alloys Handbook, CINDAS, Purdue University, West Lafayette, IN.
7.
Johns, D. J., 1965, Thermal Stress Analyses, Pergamon Press, Oxford.
8.
Lienhard
V. J. H.
,
Dahbura
R. S.
,
Younis
H. F.
, and
Oh
C. H.
,
1996
, “
Large Area Jet-Array Cooling Modules for High Heat Fluxes
,”
High Heat Flux Engineering III
, Society of PhotoOptical Instrumentation Engineers (SPIE); Bellingham, WA, Vol.
2855
, pp.
66
–
81
.
9.
Lienhard
V. J. H.
, and
Khounsary
A. M.
,
1993
, “
Liquid Jet Impingement Cooling in Conjunction with Diamond Substrates for Extremely High Heat Flux Applications
,”
High Heat Flux Engineering II
, Society of PhotoOptical Instrumentation Engineers (SPIE), Bellingham, WA, Vol.
1997
, pp.
29
–
43
.
10.
Lienhard
V. J. H.
, and
Napolitano
D. S.
,
1996
, “
Thermal Stress Limits of Plates Subjected to Extremely High Heat Flux
,”
Proc. Heat Transfer Division.
, Vol.
2, ASME HTD-Vol. 333
, pp.
23
–
35
.
11.
Liu
X.
, and
Lienhard
V. J. R.
,
1993
, “
Extremely High Heat Fluxes Beneath Impinging Liquid Jets
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
115
, pp.
472
–
476
.
12.
Napolitano, D. S., 1995, “Stress Induced Failure in Materials Subjected to Extremal Heat Fluxes,” S. M. thesis in Mechanical Engineering, MIT, Cambridge, MA.
13.
Pal
M. C.
,
1969
, “
Large Deflections of Heated Circular Plates
,”
Acta Mechanics
, Vol.
8
, pp.
82
–
103
.
14.
Peckner, D., and Bernstein, I. M., eds., 1977, Handbook of Stainless Steels, McGraw-Hill, New York.
15.
Tauchert, T. R., 1986, “Thermal Stresses in Plates—Statical Problems,” in Thermal Stresses, R. B. Hetnarski, ed., Vol. 1, Elsevier Science Publishers, New York.
16.
Tietz, T. E., and Wilson, J. W., 1965, Behavior and Properties of Refractory Metals, Stanford University Press, Stanford, CA.
17.
Touloukian, Y. S., 1979, Thermophysical Properties of Matter, Vol. 1, Purdue University, West Lafayette, IN.
18.
Ugural, A. C., and Fenster, S. K., 1975, Advanced Strength and Applied Elasticity, Elsevier, New York.
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.