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Application of a priori information to assure identifiability of a mathematical model

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Journal of engineering physics Aims and scope

Abstract

The possibility of simultaneous determination of the heat elimination coefficient and the temperature of the environment as a function of two variables that are in the model in the same dimensionality as the desired quantities is studied.

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Abbreviations

u:

temperature field

u0 :

initial distribution

v, v0 :

boundary temperatures

c:

specific heat

ρ:

density

λ:

heat conductivity

α:

heat elimination coefficient

uav :

temperature of the environment

x0, xk, y0, yk :

spatial boundaries of the object

A1, Bi :

functions defining parametrization of the desired quantities

V, W, F, G, H:

functions defining the functional representation of the nonidentifiable temperature field

Literature cited

  1. M. R. Romanovskii, Inzh.-Fiz. Zh.,56, No. 3, 499–506 (1989).

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  2. M. R. Romanovskii, Inzh.-Fiz. Zh.,42, No. 3, 476–483 (1982).

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  3. M. R. Romanovskii, Izv. Akad. Nauk SSSR, Énerg. Transport., No. 3, 155–159 (1983).

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  4. M. M. Lavrent'ev, V. G. Vasil'ev, and V. G. Romanov, Multidimensional Inverse Problems for Differential Equations [in Russian], Novosibirsk (1970).

  5. Yu. E. Anikonov, Certain Methods of Investigating Multidimensional Inverse Problems for Differential Equations [in Russian], Novosibirsk (1978).

  6. V. P. Belyakov, Cryogenic Technique and Technology [in Russian], Moscow (1982).

  7. É. K. Kalinin, G. A. Dreitser, V. V. Kostyuk, and I. I. Berlin, Methods of Computing Conjugate Heat Transfer Problems [in Russian], Moscow (1983).

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Author information

Authors and Affiliations

  1. Scientific-Production Combine “Kriogenmash,”, Balashikha

    M. R. Romanovskii

Authors
  1. M. R. Romanovskii
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 56, No. 5, pp. 814–819, May, 1989.

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Romanovskii, M.R. Application of a priori information to assure identifiability of a mathematical model. Journal of Engineering Physics 56, 582–585 (1989). https://doi.org/10.1007/BF01297611

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  • DOI: https://doi.org/10.1007/BF01297611

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