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Basis of the terminology and algorithm for the solution of inverse heat-transfer problems

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Abbreviations

T:

temperature

A:

cause

f:

direct operator

f− :

inverse operator

λ :

heat-conduction coefficient

cV :

specific heat

q:

thermal flux intensity

α :

heat-transfer coefficient

τ :

time

xi :

coordinates (i=1, 2, 3)

ɛ:

coefficient of absorption

σ:

Stefan-Boltzmann constant

e:

experimental

M:

model

s:

surface

m:

medium

v,V:

volume

c:

contact

in:

internal

Literature cited

  1. A. G. Temkin, Inverse Methods of Heat Conduction [in Russian], Énergiya, Moscow-Leningrad (1973).

    Google Scholar 

  2. V. V. Vlasov, Yu. S. Shatalov, E. N. Zotov, et al., Thermophysical Measurements. Handbook of Methods of Computing Heat and Mass Transfer Fields and Characteristics and of Automating Measurements [in Russian], All-Union Scientific-Research Inst. of Rubber Engineering Machine Construction, Tambov (1975).

    Google Scholar 

  3. D. F. Simbirskii, Temperature Diagnostics of Motors. Film Thermometry and Optimal Estimates [in Russian], Tekhnika, Kiev (1976).

    Google Scholar 

  4. N. V. Shumakov, Method of Successive Intervals in Thermometry of Nonstationary Processes [in Russian], Atomizdat, Moscow (1979).

    Google Scholar 

  5. O. M. Alifanov, Identification of Heat Transfer Processes of Flying Vehicles [in Russian], Mashinostroenie, Moscow (1979).

    Google Scholar 

  6. Yu. M. Matsevityi, V. E. Prokof'ev, and V. S. Shirokov, Solution of Inverse Heat-Conduction Problems on Electrical Models [in Russian], Naukova Dumka, Kiev (1980).

    Google Scholar 

  7. L. A. Kozdoba and P. S. Krukovskii, Methods of Solving Inverse Heat-Transfer Problems [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  8. B. V. Yakushkin, “Classification,” Bol'shoi Sovetsk. Entsikl.,12, 269 (1973).

    Google Scholar 

  9. Inzh.-Fiz. Zh.,29, No. 1 (1975);33, No. 6 (1977);34, No. 2 (1980).

  10. V. P. Mishin and O. M. Alifanov, “Inverse heat-transfer problems, domains of application in design and testing of technical objects,” Inzh.-Fiz. Zh.,42, No. 2, 181–192 (1982).

    Google Scholar 

  11. L. A. Kozdoba, “Inverse heat-transfer problems,” Promyshlen. Teplotekh.,1, No. 1, 38–49, (1979).

    Google Scholar 

  12. L. A. Kozdoba, “Methods of solving inverse transfer problems, experimental-theoretical methods of investigating heatand mass-transfer processes,” Modern Experimental Methods of Investigating Heat and Mass Transfer Processes [in Russian], Vol. 1, Inst. Teplo-Massoobmen. Akad. Nauk BSSR, Minsk (1981), pp. 65–80.

    Google Scholar 

  13. L. A. Kozdoba, “Mathematical modeling of direct and inverse nonlinear bulk problems of heat conduction,” Heat and Mass Transfer-VI. Problem Reports of the Sixth All-Union Conference on Heat and Mass Transfer [in Russian], Vol. 2, Inst. Teplo-Massoobmen. Akad. Nauk BSSR, Minsk (1981), pp. 153–165.

    Google Scholar 

  14. L. A. Kozdoba, Methods of Solving Nonlinear Heat Conduction Problems [in Russian] Nauka, Moscow (1975).

    Google Scholar 

  15. L. A. Kozdoba, Solutions of Nonlinear Heat Conduction Problems [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  16. O. M. Alifanov, “Direct methods of solving nonlinear inverse heat-conduction problems,” Inzh.-Fiz. Zh.,24, No. 6, 1129–1137 (1973).

    Google Scholar 

  17. A. I. Berezovskii, “Direct methods,” Encyclopedia of Cybernetics [in Russian], Vol. 2, Kiev (1975), p. 254.

    Google Scholar 

  18. O. M. Alifanov, “Inverse heat-conduction problem,” Inzh-Fiz. Zh., 25, No. 3, 530–537 (1973).

    Google Scholar 

  19. N. G. Preobrazhenskii, “Methodological aspects of the formulation and solution of incorrect mathematical physics problems,” Methodological Problems of Scientific Cognition [in Russian], Nauka, Siberian Branch, Novosibirsk (1977), pp. 102–119.

    Google Scholar 

  20. Brown, “Statistical estimation and error correction,” Heat Transfer [Russian translation], No. 4, pp. 127–137 (1969).

    Google Scholar 

  21. V. K. Shchukin, Heat Transfer and Hydrodynamics of Internal Flows in Mass Force Fields [in Russian], Mashinostroenie, Moscow (1970).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Technical Thermophysics, Academy of Sciences of the Ukrainian SSR, Kiev

    L. A. Kozdoba

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  1. L. A. Kozdoba
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 45, No. 5, pp. 833–843, November, 1983.

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Kozdoba, L.A. Basis of the terminology and algorithm for the solution of inverse heat-transfer problems. Journal of Engineering Physics 45, 1322–1331 (1983). https://doi.org/10.1007/BF01254745

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  • DOI: https://doi.org/10.1007/BF01254745

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