Abstract
A numerical method is proposed for optimization of the spatial placement of a fixed number of temperature sensors in the solution of coefficient-type inverse heat-conduction problems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
O. M. Alifanov, Identification of Aircraft Heat-Transfer Processes (Introduction to the Theory of Inverse Heat-Transfer Problems) [in Russian], Mashinostroenie, Moscow (1979).
V. P. Mishin and O. M. Alifanov, “Inverse heat-transfer problems: domains of application in the design and testing of engineering objects,” Inzh.-Fiz. Zh.,42, No. 2, 181–192 (1982).
N. V. Musylev, “Uniqueness theorems for certain inverse heat-conduction problems,” Zh. Vychisl. Mat. Mat. Fiz.,20, No. 2, 388–400 (1980).
S. B. Stechkin and Yu. N. Subbotin, Splines in Computational Mathematics [in Russian], Nauka, Moscow (1976).
E. A. Artyukhin, “Determination of the thermal conductivity from the solution of a nonlinear inverse problem,” Inzh.-Fiz. Zh.,41, No. 4, 587–592 (1981).
E. A. Artyukhin, “Determination of the temperature dependence of the thermal conductivity from the solution of the inverse problem,” Teplofiz. Vys. Temp.,19, No. 5, 963–967 (1981).
A. A. Goryachev and V. M. Yudin, “Solution of the inverse heat-conduction coefficient problem,” Inzh.-Fiz. Zh.,43, No. 4, 641–648 (1982).
O. M. Alifanov, E. A. Artyukhin, and S. V. Rumyantsev, “Solution of boundary-value and coefficient-type inverse heat-conduction problems by iterative methods,” in: Heat and Mass Transfer VI [in Russian], Vol. 9, ITMO Akad. Nauk BSSR, Minsk (1980), pp. 106–112.
O. M. Alifanov and S. V. Rumyantsev, “Stability of iterative methods for the solution of linear ill-posed problems,” Dokl. Akad. Nauk SSSR,248, No. 6, 1289–1291 (1979).
E. A. Artyukhin and A. S. Okhapkin, “Parametric analysis of the accuracy of solution of the nonlinear inverse problem of determining the thermal conductivity coefficient of a composition material,” Inzh.-Fiz. Zh.,45, No. 5, 781–788 (1983).
A. B. Uspenskii, “inverse problems of mathematical physics: Analysis and experimental design,” in: Mathematical Methods of Experimental Design [in Russian], Nauka, Novosibirsk (1981), pp. 199–242.
Z. H. Qureshi, T. S. Ng, and G. C. Goodwin, “Optimum experimental design for identification of distributed parameter systems,” Int. J. Control,31, No. 1, 21–29 (1980).
A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1978).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 3, pp. 490–495, March, 1985.
Rights and permissions
About this article
Cite this article
Artyukhin, E.A. Experimental design of measurements for the solution of coefficient-type inverse heat-conduction problems. Journal of Engineering Physics 48, 372–376 (1985). https://doi.org/10.1007/BF00878208
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00878208