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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 34, 1998 - Issue 1
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Original Articles

EXPERIMENTAL INVESTIGATION IN INVERSE HEAT CONDUCTION PROBLEM

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Pages 75-91 | Received 17 Nov 1997, Accepted 03 Mar 1998, Published online: 15 Mar 2007

REFERENCES

  • G. Stolz Jr. , Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes , ASME J. Heat Transfer , vol. 82 , pp. 20 – 26 , 1960 .
  • A. N. Tikhonov and V. Y. Arsenin , Solutions of Ill–Posed Problems , V. H. Winston and Sons , Washington , D. C. , 1977 .
  • K. Miller , Least Squares Methods for Ill–Posed Problems with a Prescribed Bound , SIAM J. Math. Anal. , vol. 1 , no. 1, pp. 52 – 74 , 1970 .
  • E. Hoerl and R. W. Kennard , Ridge Regression Biased Estimation for Nonorthogonal Problems , Technometrics , vol. 12 , pp. 55 – 82 , 1970 .
  • D. A. Murio , On the Characterization of the Solution of the Inverse Heat Conduction Problem , Paper AIAA–84–0491 , 1984 .
  • O. M. Alifanov and V. V. Millhailov , Solution of the Non–Linear Inverse Thermal Conducting Problem by the Iteration Method , J. Eng. Phys. , vol. 35 , no. 6 , pp. 1501 – 1506 , 1978 .
  • O. M. Alifanov and E. A. Artyukhin , Regularized Numerical Solution of Non–Linear Inverse Heat Conduction Problem , J. Eng. Phys. , vol. 29 , no. 1 , pp. 934 – 938 . 1975 .
  • P. C. Tuan , The Estimation of Thermal Unknown Functions by Solving Two–Dimen–sional Inverse Heat Conduction Problems , Ph.D. dissertation , Department of Mechanical and Aerospace Engineering, North Carolina State University , Raleigh , 1991 .
  • Y. Jarny , M. N. Ozisik , and J. P. Bardon , A General Optimization Method Using Adjoint Equation for Solving Multidimensional Inverse Heat Conduction , Int. J. Heat Mass Transfer , vol. 34 , pp. 2911 – 2919 , 1991 .
  • C. H. Huang , M. N. Ozisik , Inverse Problem of Determining the Unknown Strength of an Internal Plane Heat Source , J. Franklin Inst. , vol. 329 , no. 4 , pp. 751 – 764 , 1992 .
  • C. C. Ji and H. Y. Jang , An Inverse Problem in Predicting Heat Flux of M42 Percussion Primer , J. Franklin Inst. , vol. 335B , no. 4 , pp. 595 – 604 , 1998 .
  • J. V. Beck , B. Blackwell and C. R. St Clair , Inverse Heat Conduction , Wiley , New York , 1985 .
  • J. V. Beck , Nonlinear Estimation Applied to the Non–Linear Inverse Heat Conduction Problem , Int. J. Heat Mass Transfer , vol. 13 , pp. 703 – 716 , 1970 .
  • J. V. Beck , Determination of Undisturbed Temperatures from Thermocouple Measurements Using Correction Kernels , Nucl. Eng. Design , vol. 7 , pp. 9 – 12 , 1968 .
  • Zongrui LiZhongwu Lu , A Control Theory Method for Solutions of Inverse Transient Heat Conduction Problems , Trans. ASME ,vol. 116 , pp. 228 – 230 , 1994 .
  • R. E. Kalman , A New Approach to Linear Filtering and Prediction Problems , ASME J. Basic Eng., ser. 82d, pp. 35 – 45 , 1960 .
  • M. S. Grewal , Application of Kalman filtering to the Calibration and Alignment of Inertial Navigation Systems , presented at PLANS '86–Position Location and Navigation Symposium , Las Vegas , Nevada , 1986 .
  • M. S. Grewal and R. S. Miyasako , Gyro Compliance Estimation in the Calibration and Alignment of Inertia! Measurement Units, presented at the Eighteenth Joint Service Conference on Data Exchange for Inertial Systems , San Diego , California , 1986 .
  • C. K. Chui and G. Chen , Kalman Filtering with Real–Time Applications , Springer–Verlag , New York , 1987 .
  • M. S. Grewal and H. J. Payne , Identification of Parameters in a Freeway Traffic Model , IEEE Trans. Syst. Man. Cybernetics , vol. SMC–6 , pp. 176 – 185 , 1976 .
  • F. Scarpa and G. Milano , Kalman Smoothing Technique Applied to the Inverse Heat Conduction Problem , Numer. Heat Transfer , Part B , vol. 28 , pp. 79 – 96 , 1995 .
  • P. C. Tuan , C. C. Ji , L. W. Fong , and W. T. Huang , An Input Estimation Approach to On–Line Two–Dimensional Inverse Heat Conduction Problems , Numer. Heat Transfer , Part B , vol. 29 , pp. 345 – 363 , 1996 .
  • H. W. Sorenson , Kalman Filtering Techniques , McGraw–Hill , New York , 1986 .
  • J. V. Candy , Signal Processing The Model Based Approach , McGraw–Hill , New York , 1986 .
  • Address correspondence to Dr. Ching-China Ji, Department of Systems Engineering, Chung Cheng Institute of Technology, Ta-Chi, Tao-Yuan 33509, Taiwan, Republic of China.

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