Abstract
We have obtained extrapolation formulas for calculating the temperatures, temperature gradients, and heat fluxes in a solid heated by a varying thermal flux from the results of temperature measurements at two points. The applicability limits and errors of the proposed formulas have been investigated.
Similar content being viewed by others
Literature cited
A. N. Tikhonov and V. B. Glasko, ZhVMiMF,7, No. 4 (1967).
A. N. Tikhonov, Dokl. Akad. Nauk SSSR,153, No. 1 (1963).
N. A. Yaryshev, Theoretical Principles of the Measurement of Nonsteady-State Temperatures [in Russian], Energiya, Leningrad (1967).
A. V. Lykov, Theory of Thermal Conductivity [in Russian], Vysshaya Shkola, Moscow (1967).
G. N. Barenblatt, Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 9 (1954).
T. R. Gudmen, in: Problems of Heat Transfer [in Russian], P. L. Kirillova (editor), Atomizdat (1967).
M. G. Kogan, Inzh.-Fiz. Zh.,12, No. 1 (1967).
A. V. Kantorovich and V. I. Krylov, Approximate Methods for Higher Analysis [in Russian], Fizmatgiz (1962).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 17, No. 3, pp. 553–558, September, 1969.
Rights and permissions
About this article
Cite this article
Minin, O.V., Yaryshev, N.A. Reconstruction of the temperature field in a solid from a limited number of measurements. Journal of Engineering Physics 17, 1176–1180 (1969). https://doi.org/10.1007/BF00827832
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00827832