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Inverse boundary-value problem of a drying process

Abstract

The authors consider the problem of determination of the boundary moisture content and the nonstationary Biot number from the measured wight of an element. The algorithm is based on a solution of the corresponding direct problem in the form of a Duhamel integral.

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References

  1. 1.

    A. V. Luikov, Heat and Mass Transfer in Drying Processes [in Russian], Moscow, Leningrad (1956).

  2. 2.

    A. V. Luikov, Heat Conduction Theory [in Russian], Moscow (1967).

  3. 3.

    A. N. Tikhonov and V. Ya. Arsenin, Methods for Solution of Incorrect Problems: Manual [in Russian], Moscow (1986).

  4. 4.

    A. F. Verlan' and V. S. Sizikov, Integral Equations: Methods, Algorithms, Programs: Handbook [in Russian], Kiev (1986).

  5. 5.

    A. N. Tikhonov, A. V. Goncharovskii, V. V. Stepanova, and A. G. Yagola, Numerical Methods of Solution of Incorrect Problems [in Russian], Moscow (1990).

  6. 6.

    I. A. Orurk, New Methods of Synthesis of Linear and Some Nonlinear Dynamics Systems [in Russian], Moscow, Leningrad (1965).

  7. 7.

    A. S. Trofimov, A. V. Kozlov, et al., “Use of the characteristics of imaginary frequencies to solve unsteady-state heat conduction problems,” Inzh.-Fiz. Zh.,49, No. 3, 513 (1985).

  8. 8.

    M. M. Lavrentiev, Dokl. Akad. Nauk SSSR,127, No. 1, 31–33 (1959).

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Additional information

Polytechnic Institute, Krasnodar. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 67, Nos. 1–2, pp. 123–126, July–August, 1994.

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Trofimov, A.S., Kryzhnii, V.V. & Kryzhnyaya, E.P. Inverse boundary-value problem of a drying process. J Eng Phys Thermophys 67, 791–794 (1994). https://doi.org/10.1007/BF00853336

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Keywords

  • Statistical Physic
  • Biot
  • Direct Problem
  • Biot Number
  • Boundary Moisture