A technique for uncertainty analysis for inverse heat conduction problems

International Journal of Heat and Mass Transfer

Volumn 53, Issue 4, 2010, Pages 753-759

  Blackwell, Ben ^a   Beck, James V ^b  

^a Blackwell Consulting   (United States)

^b Michigan State University   (United States)

Author keywords

Heat conduction; Inverse; Sensitivity coefficients; Uncertainty analysis

Indexed keywords

IMPORTANCE FACTORS; INTERIOR TEMPERATURE; INVERSE; INVERSE HEAT CONDUCTION PROBLEM; NONLINEAR PROBLEMS; SENSITIVITY COEFFICIENT; SENSITIVITY COEFFICIENTS; TEMPERATURE-DEPENDENT PROPERTIES; THERMAL PROPERTIES; VARIANCE EQUATIONS; VOLUMETRIC HEAT CAPACITY;

HEAT CONDUCTION; INVERSE PROBLEMS; TEMPERATURE MEASUREMENT; THERMODYNAMIC PROPERTIES;

UNCERTAINTY ANALYSIS;

EID: 70649114598     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2009.10.014     Document Type: Article

References (18)

1. In: Saltelli A., Chan K., and Scott E.M. (Eds). Sensitivity Analysis (2000), Wiley, New York
2. B.F. Blackwell, K.J. Dowding, Handbook of Numerical Heat Transfer, 2nd ed., Sensitivity Analysis and Uncertainty Propagation of Computational Models, Wiley, New York, 2006. pp. 443-469 (Chapter 14).
3. Beck J.V., Blackwell B.F., and St Clair J.C.R. Inverse Heat Conduction Ill-Posed Problems (1985), Wiley, New York
4. Beck J.V., and Blackwell B.F. Handbook of Numerical Heat Transfer. 1st ed. Inverse Problems (1988), Wiley, New York pp. 787-834 (Chapter 19)
5. Hensel E. Inverse Theory and Applications for Engineers (1991), Prentice Hall, New Jersey
6. Alifanov O.M. Inverse Heat Transfer Problems (1994), Springer-Verlag, Berlin
7. Kurpisz K., and Nowak A.J. Inverse Thermal Problems (1995), Computational Mechanics Publications, Billerica, MA
8. Ozisik M.N., and Orlande H.R.B. Inverse Heat Transfer Fundamentals and Application (2000), Taylor and Francis, New York
9. In: Woodbury K.A. (Ed). Inverse Engineering Handbook (2002), CRC Press, Boca Raton, FL
10. Zabaras N. Handbook of Numerical Heat Transfer. 2nd ed. Inverse Problems in Heat Transfer (2006), Wiley, New York pp. 525-557 (Chapter 17)
11. Beck J.V., and Arnold K.J. Parameter Estimation in Engineering and Science (1977), Wiley
12. Coleman H.W., and Steele W.G. Experimentation and Uncertainty Analysis for Engineers. second ed. (1999), Wiley
13. Beck J.V. Filter solutions for the nonlinear inverse heat conduction problem. Inverse Problems in Science and Engineering 16 (2008) 3-20
14. Lyness J.N., and Moler C.B. Numerical differentiation of analytic functions. SIAM Journal of Numerical Analysis 4 2 (1967) 202-210
15. J.R.R.A. Martins, A guide to the complex-step derivative approximation, World Wide Web page, http://mdolab.utias.utoronto.ca/resources/complex-step.
16. McKay M.D., Conover W.J., and Beckman R.J. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21 (1979) 239-245
17. Helton J.C., and Davis F.J. Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems. Reliability Engineering and System Safety 81 (2003) 23-69
18. Dowdell R.B. ASME Journal of Fluids Engineering 104 2 (1982) 258