Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 20, 1991 - Issue 1
142
Views
81
CrossRef citations to date
0
Altmetric
Original Articles

DIRECT INTEGRATION APPROACH FOR SIMULTANEOUSLY ESTIMATING TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY AND HEAT CAPACITY

&
Pages 95-110 | Received 05 Mar 1990, Accepted 18 Oct 1990, Published online: 27 Apr 2007

REFERENCES

  • J. V. Beck and B. Blackwell , Handbook of Numerical Heat Transfer , chap. 19 , John Wiley , New York , 1988 .
  • C. H. Huang and M. N. Ozisik , A Direct Integration Approach for Simultaneously Estimating Spatially Varying Thermal Conductivity and Heat Capacity , Int. J. Heat Fluid Flow , vol. 11 , no. 3 , pp. 262 – 268 , 1990 .
  • M. Ciampi , W. Grassi , and G. Tuoni , The Flash Method and the Measure of the Thermal Diffusivity of Nonhomogeneous Samples , Termotecnica , vol. 37 , pp. 43 – 48 , 1983 .
  • L. Carotenuto , G. Raiconi , and G. Pillo , On the Identification of a Variable Coefficient in the Diffusion Equation , in N. S. Rajman (ed.) , Proceedings, Fourth IFAC Symposium , Tbilisi , 1976 Identification and System Parameter Estimation, Part 3 , pp. 1539 – 1556 . North-Holland, Amsterdam, 1978 .
  • C. S. Kubrusly and R. F. Curtain , Identification of Noisy Distributed Parameter Systems Using Stochastic Approximation , Int. J. Control , vol. 25 , pp. 441 – 455 , 1977 .
  • C. C. Travis and L. W. White , Parameter Identification of Distributed Parameter Systems , Math. Biosci. , vol. 77 , pp. 341 – 352 , 1985 .
  • L. Carotenuto and G. Raiconi , Identifiability and Identification of a Galerkin Approximation for a Class of Distributed Parameter Systems , Int. J. Syst. Sci. , vol. 11 , pp. 1035 – 1049 , 1980 .
  • J. Q. Liu and Y. M. Chen , An Iterative Algoridim for Solving Inverse Problems of Two-Dimensional Diffusion Equations , SIAMJ. Sci. Statist. Comput. , vol. 5 , pp. 255 – 269 , 1984 .
  • Y. M. Chen and J. Q. Liu , A Numerical Algorithm for Remote Sensing of Thermal Conductivity , J. Comput. Phys. , vol. 43 , pp. 315 – 326 , 1981 .
  • H. W. Alt , K. H. Hoffmann , and J. Sprekels , A Numerical Procedure to Solve Certain Identification Problems , Optimal Contr. Partial Differential Equation , vol. 68 , pp. 11 – 43 , 1983 .
  • C. Kravaris and J. H. Seinfeld , Identification of Parameters in Distributed Parameter Systems by Regularization , SIAMJ. Contr. Optimization , vol. 23 , pp. 217 – 241 , 1985 .
  • X. Y. Liu and Y. M. Chen , A Generalized Pulse-Spectrum Technique (GPST) for Determining Time-Dependent Coefficients of One-Dimensional Diffusion Equations , SIAM J. Sci. Statist. Comput. , vol. 8 , pp. 436 – 445 , 1987 .
  • S. Kitamura and S. Nakagiri , Identifiability of Spatially-Varying and Constant Parameters in Distributed Systems of Parabolic Type , SIAMJ. Contr. Optimization , vol. 15 , pp. 785 – 802 , 1977 .
  • W. H. Chen and J. H. Seinfeld , Estimation of Spatially Varying Parameters in Partial Differential Equations , Int. J. Contr. , vol, 15 , pp. 487 – 495 , 1972 .
  • W. H. Ray , Some Recent Applications of Distributed Parameter Systems Theory-A Survey , Automatica , vol. 14 , pp. 281 – 287 , 1978 .
  • C. S. Kubrusly , Distributed Parameter Systems Identification-A Survey , Int. J. Contr. , vol. 26 , pp. 509 – 535 , 1977 .
  • S. G. Tzafestas and P. Stavroulakis , Recent Advances in the Study of Distributed Parameter Systems , J. Franklin Inst. , vol. 31 , pp. 285 – 305 , 1983 .
  • R. E. Goodson and M. P. Polis , Identification of Parameters in Distributed Systems, in Distributed Parameter Systems Identification , Estimation and Control , pp. 47 – 133 , W. H. Ray and D. G. Lainiotis (eds.) , Marcel Dekker , New York , 1978 .
  • N. S. Raibman , V. O. Bogdanov , and D. V. Kneller , Identification of Distributed Parameter Systems , Automat. Remote Contr. , vol. 43 , pp. 703 – 731 , 1982 .
  • G. P. Flach and M. N. Ozijik , Inverse Heat Conduction Problem of Simultaneously Estimating Spatially Varying Thermal Conductivity and Heat Capacity Per Unit Volume , Numer. Heat Transfer , vol. 16 , pp. 249 – 266 , 1989 .
  • IMSL Library, User's Manual Math/Library Version 1.0 , Houston , Tex. , 1987 .
  • R. W. Farebrother , Linear Least Squares Computations , Marcel Dekker , New York , 1988 .
  • Y. S. Touloukian , Thermophysical Properties of Matter, TPRC Data Ser. , IFI/Plenum , New York , 1970 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.