Analysis of inverse heat-conduction problems by means of similarity solutions
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Similarity solutions are given for a linear heat-conduction equation for a wide class of boundary conditions. The solutions are used for analyzing inverse problems that are applied to the determination of external heating conditions.
KeywordsBoundary Condition Statistical Physic Inverse Problem Wide Class Similarity Solution
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- 1.G. T. Aldoshin, A. S. Golosov, and V. I. Zhuk, in: Heat and Mass Transfer [in Russian], Vol. 8, Minsk (1968).Google Scholar
- 2.A. Temkin, Inverse Methods of Heat Conduction [in Russian], Énergiya, Moscow (1973).Google Scholar
- 3.R. C. Pfahl and J. Mitchel, AIAA J.,8, No. 6 (1969).Google Scholar
- 4.A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).Google Scholar
- 5.H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Clarendon Press, Oxford (1959).Google Scholar
- 6.A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics, Pergamon Press, New York (1963).Google Scholar
- 7.Yu. A. Dem'yanov and K. G. Omel'chenko, Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1961).Google Scholar
- 8.K. G. Omel'chenko, Izv. Akad. Nauk SSSR, Énergetika i Transport, No. 2 (1964).Google Scholar
- 9.V. M. Yudin, in: Proceedings of the N. E. Zhukovskii Central Aero-Hydrodynamics Institute (TsAG) [in Russian], No. 1267 (1970).Google Scholar
- 10.N. V. Shumakov, Zh. Tekh. Fiz.,27, No. 4 (1957).Google Scholar