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TECHNICAL PAPERS: Conduction Heat Transfer

Sensitivity Analysis for Nonlinear Heat Conduction

[+] Author and Article Information
Kevin J. Dowding, Bennie F. Blackwell

Sandia National Laboratories, P.O. box 5800, Mail Stop 0828, Albuquerque, NM 87185-0828

J. Heat Transfer 123(1), 1-10 (Aug 23, 2000) (10 pages) doi:10.1115/1.1332780 History: Received October 05, 1999; Revised August 23, 2000
Copyright © 2001 by ASME
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References

Dowding,  K. J., Beck,  J. V., and Blackwell,  B. F., 1999, “Estimating Temperature-Dependent Thermal Properties of Carbon-Carbon Composite,” J. Thermophys. Heat Transfer, 13, No. 3, pp. 328–336.
Dowding,  K. J., Blackwell,  B. F., and Cochran,  R. J., 1999, “Application of Sensitivity Coefficients for Heat Conduction Problems,” Numer. Heat Transfer, Part B, 36, No. 1, pp. 33–55.
Beck, J. V., and Arnold, K., 1977, Parameter Estimation in Engineering and Science Wiley, New York.
Taktak,  R., Beck,  J. V., and Scott,  E., 1993, “Optimal Experimental Design for Estimating Thermal Properties of Composite Materials,” Int. J. Heat Mass Transf., 36, No. 12, p. 2977.
Taktak, R., 1992, “Design and Validation of Optimal Experiments for Estimating Thermal Properties of Composite Materials,” Ph.D thesis, Michigan State University, East Lansing, MI.
Emery,  A. F., and Fadale,  T. D., 1996, “Design of Experiments Using Uncertainty Information,” ASME J. Heat Transfer, 118, pp. 532–538.
Fadale,  T. D., Nenarokomov,  A. V., and Emery,  A. F., 1995, “Two Approaches to Optimal Sensor Locations,” ASME J. Heat Transfer, 117, pp. 373–379.
Coleman,  H. W., and Stern,  F., 1997, “Uncertainties and CFD Code Validation,” J. Fluids Eng., 119, pp. 795–803.
Coleman,  H. W., and Steele,  W. G., 1995, “Engineering Applications of Experimental Uncertainty Analysis,” AIAA J., 33, No. 10, pp. 1888–1896.
Fadale,  T. D., and Emery,  A. F., 1994, “Transient Effects of Uncertainties on the Sensitivities of Temperatures and Heat Fluxes Using Stochastic Finite Elements,” ASME J. Heat Transfer, 116, pp. 808–814.
Liu,  W. K., Besterfield,  G., and Belytschko,  T., 1988, “Transient Probabilistic Systems,” Comput. Methods Appl. Mech. Eng., 67, pp. 27–54.
Liu,  W. K., Belytschko,  T., and Mani,  A., 1986, “Probabilistic Finite Elements for Nonlinear Structural Dynamics,” Comput. Methods Appl. Mech. Eng., 56, pp. 61–81.
Emery,  A. F., and Fadale,  T. D., 1997, “Handling Temperature Dependent Properties and Boundary Conditions in Stochastic Finite Element Analysis,” Numer. Heat Transfer, Part A, 31, pp. 37–51.
Nicolai,  B. M., and De Baerdemaeker,  J., 1997, “Finite Element Perturbation Analysis of Non-Linear Heat Conduction Problems with Random Field Parameters,” Int. J. Numer. Methods Heat Fluid Flow, 7, No. 5, pp. 525–544.
Nicolai,  B. M., and De Baerdemaeker,  J., 1993, “Computation of Heat Conduction in Materials with Random Variable Thermophysical Properties,” Int. J. Numer. Methods Eng., 36, pp. 523–536.
Blackwell,  B. F., Dowding,  K. J., and Cochran,  R. J., 1999, “Development and Implementation of Sensitivity Coefficient Equations For Heat Conduction Problems,” Numer. Heat Transfer, Part B, 36, No. 1, pp. 15–32.
Blackwell, B. F., and Dowding, K. J., 1999, “Sensitivity Analysis and Uncertainty Propagation in a General Purpose Thermal Analysis Code,” Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference, July 18–23, 1999, San Francisco, CA.
Blackwell,  B. F., Cochran,  R. J., and Dowding,  K. J., 1998, “Development and Implementation of Sensitivity Coefficient Equations for Heat Conduction Problems,” ASME Proceedings of the 7th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, ASME-HTD-Vol. 357-2, pp. 303–316.
Beck. J. V., and Osman, A. M, 1991, “Sequential Estimation of Temperature-Dependent Thermal Properties,” High Temperature-High Pressure 23 , pp. 255–266.
Jin, G., Venkatesan, G., Chyu, M.-C., and Zheng, J.-X., 1998, “Measurement of Thermal Conductivity and Heat Capacity of Foam Insulation During Transient Heating,” AV-7569, Final Report, Department of Mechanical Engineering, Texas Tech. University, May 20, 1998.
Dowding,  K., Beck,  J., Ulbrich,  A., Blackwell,  B., and Hayes,  J., 1995, “Estimation of Thermal Properties and Surface Heat Flux in a Carbon-Carbon Composite Material,” J. Thermophys. Heat Transfer, 9, No. 2, pp. 345–351.
Incropera, F. P., and Dewitt, D. P., 1990, Introduction to Heat Transfer, 2nd Edition, Wiley, New York.

Figures

Grahic Jump Location
Temperature of a one-dimensional body with isothermal boundaries and temperature-dependent thermal conductivity represented with two piecewise linear segments
Grahic Jump Location
Sensitivity coefficients for parameters describing two piecewise linear segments representing temperature-dependent thermal conductivity for a one-dimensional body with isothermal boundaries
Grahic Jump Location
Grid convergence study at x=0.2 m for verification problem with temperature-dependent thermal conductivity
Grahic Jump Location
Experiment to estimate thermal properties of polyurethane foam
Grahic Jump Location
Temperature response for a foam thickness of 2.54 cm and linearly varying temperature-dependent properties (finite case)
Grahic Jump Location
Temperature response for a foam thickness of 34.3 cm and linearly varying temperature-dependent properties (semi-infinite case)
Grahic Jump Location
Sensitivity normalized by the maximum temperature rise for estimating linearly varying, temperature-dependent properties and a foam thickness of 2.54 cm (finite case)
Grahic Jump Location
Sensitivity normalized by the maximum temperature rise for estimating linearly varying, temperature-dependent properties and a foam thickness of 34.3 cm (semi-infinite)

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