Affiliation:
1. Department of Mechanical Engineering, Seoul National University, Seoul 151-742, Korea
Abstract
A solution scheme based on the maximum entropy method (MEM) for the solution of two-dimensional inverse heat conduction problems is established. MEM finds the solution which maximizes the entropy functional under the given temperature measurements. The proposed method converts the inverse problem to a nonlinear constrained optimization problem. The constraint of the optimization problem is the statistical consistency between the measured temperature and the estimated temperature. Successive quadratic programming (SQP) facilitates the numerical estimation of the maximum entropy solution. The characteristic feature of the proposed method is investigated with the sample numerical results. The presented results show considerable enhancement in resolution for stringent cases in comparison with a conventional method.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science
Reference49 articles.
1. Ozisik, M. N., and Orlande, H. R. B., 2000, Inverse Heat Transfer: Fundamentals and Applications, Taylor & Francis, New York.
2. Alifanov, O. M., 1994, Inverse Heat Transfer Problems, International Series in Heat and Mass Transfer, Springer-Verlag, New York.
3. Beck, J. V., Blackwell, B., and St. Clair, C. R., 1985, Inverse Heat Conduction: Ill-Posed Problems, Wiley, New York.
4. Beck, J. V., and Woodbury, K. A., 1998, “Inverse Problems and Parameter Estimation: Integration of Measurements and Analysis,” Meas. Sci. Technol., 9(6), pp. 839–847.
5. Alifanov, O. M.
, 1997, “Mathematical and Experimental Simulation in Aerospace System Verification,” Acta Astronaut., 41(1), pp. 43–52.
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献