Exact solution of heat conduction in composite materials and application to inverse problems

Journal of Heat Transfer

Volumn 120, Issue 3, 1998, Pages 592-599

  Aviles Ramos, C ^a   Haji Sheikh, A ^a   Beck, J V ^b  

^a The University of Texas at Arlington   (United States)

^b Michigan State University   (United States)

Author keywords

Analytical; Composites; Conduction; Heat transfer; Inverse; Properties

Indexed keywords

DIFFERENTIABLE AUXILIARY FUNCTION; EXACT SERIES SOLUTION; ISOTROPIC TEMPERATURE DISTRIBUTION; ORTHOTROPIC TEMPERATURE DISTRIBUTION;

BOUNDARY CONDITIONS; COMPOSITE MATERIALS; DIFFERENTIATION (CALCULUS); FUNCTIONS; HEAT FLUX; INVERSE PROBLEMS; MULTILAYERS; PROBLEM SOLVING; TEMPERATURE DISTRIBUTION;

HEAT CONDUCTION;

CONDUCTION; HEAT TRANSFER; TEMPERATURE DISTRIBUTION;

EID: 0032147798     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.2824316     Document Type: Article

References (11)

1. Beck, J. V., 1979, “Criteria for Comparison of Methods of Solution of the Inverse Heat Conduction Problem,” Nuci Eng. Desg. Vol. 53, No. 1, pp. 1122.
2. Beck, J. V., Blackwell, B., and Haji-Sheikh, A., 1996, “Comparison of Some Inverse Heat Conduction Methods Using Experimental Data,” International Journal of Heat and Mass Transfer, Vol. 39, No. 17, pp. 3649-3657.
3. Beck, J. V., Cole, K. D., Haji-Sheikh, A., and Litkouhi, B., 1992, Heat Conduction Using Green’s Functions, Hemisphere, Washington, DC.
4. Dowding, K. J., Beck, J. V., and Blackwell, B. F., 1996, “Estimation of Directional-Dependent Thermal Properties in a Carbon-Carbon Composite,” Int. J. Heat and Mass Transfer, Vol. 39, No. 15, pp. 3157-3164.
5. Mikhailov, M. D., and Ozisik, M. N., 1986, “Transient Conduction in a ThreeDimensional Composite Slab,” Int. J. Heat and Mass Transfer, Vol. 29, No. 2, pp. 340-342.
6. Ozisik, M. N., 1993, Heat Conduction, 2nd Ed., John Wiley and Sons, New York.
7. Padovan, J., 1974, “Generalized Sturm-Liouville Procedure for Composite Domain Anisotropic Transient Heat Conduction Problems,” AIAA Journal, Vol. 12, No. 8, pp. 1158-1160.
8. Salt, H., 1983, “Transient Conduction in a Two-Dimensional Composite Slab-I. Theoretical Development of Temperature Modes,” Int. J. Heat and Mass Transfer, Vol. 26, No. 11, pp. 1611-1616.
9. Salt, H., 1983, “Transient Conduction in Two-Dimensional Composite Slab-II. Physical Interpretation of Temperature Modes,” Int. J. Heat and Mass Transfer, Vol. 26, No. 11, pp. 1617-1623.
10. Tittle, C. W., 1965, “Boundary Value Problems in Composite Media,” Journal of Applied Physics, Vol. 36, No. 4, pp. 1486-1488.
11. Yan, Ling, Haji-Sheikh, A., and Beck, J. V., 1993, “Thermal Characteristics of Two-Layered Bodies With Embedded Thin-Film Heat Source,” ASME Journal of Electronic Packaging, Vol. 115, No. 3, pp. 276-283.