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Refined Solution of the Variational Problem of Identification of Lumped Parameter Mathematical Models of Heat Transfer

  • HEAT AND MASS TRANSFER AND PHYSICAL GASDYNAMICS
  • Published:
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Abstract

A refined solution of the variational problem of determining the step of descent of the iterative regularization method is found within the problem of mathematical reliability of the parametric identification of lumped parameter mathematical heat transfer models. The results are used to identify the mathematical thermal model of part of spacecraft and are confirmed by calculation experiments.

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REFERENCES

  1. Artyukhin, E.A., Killikh, V.E., Nenarokomov, A.V., and Repin, I.V., Teplofiz. Vys. Temp., 1990, vol. 28, no. 1, p. 111.

    Google Scholar 

  2. Alifanov, O.M., Artyukhin, E.A., Nenarokomov, A.V., and Repin, I.V., Teplofiz. Vys. Temp., 1993, vol. 31, no. 3, p. 450.

    Google Scholar 

  3. Alifanov, O.M. and Nenarokomov, A.V., Teplofiz. Vys. Temp., 1999, vol. 37, no. 2, p. 231.

    Google Scholar 

  4. Stolyarov, E.P., High Temp., 2005, vol. 43, no. 1, p. 73.

    Article  Google Scholar 

  5. Kolesnik, S.A., Formalev, V.F., and Kuznetsova, E.L., High Temp., 2015, vol. 53, no. 1, p. 68.

    Article  Google Scholar 

  6. Artyukhin, E.A. and Nenarokomov, A.V., Teplofiz. Vys. Temp., 1990, vol. 28, no. 2, p. 323.

    Google Scholar 

  7. Budnik, S.A. and Nenarokomov, A.V., High Temp., 1997, vol. 35, no. 3, p. 446.

    Google Scholar 

  8. Alifanov, O.M. and Repin, I.V., Teplofiz. Vys. Temp., 1993, vol. 31, no. 1, p. 78.

    Google Scholar 

  9. Matsevityi, Yu.M. and Multanovskii, A.V., Teplofiz. Vys. Temp., 1990, vol. 28, no. 5, p. 924.

    Google Scholar 

  10. Matsevityi, Yu.M., Multanovskii, A.V., and Timchenko, V.M., Teplofiz. Vys. Temp., 1992, vol. 30, no. 1, p. 82.

    Google Scholar 

  11. Artyukhin, E.A., Ivanov, G.A., and Nenarokomov, A.V., Teplofiz. Vys. Temp., 1993, vol. 31, no. 2, p. 235.

    Google Scholar 

  12. Alifanov, O.M. and Cherepanov, V.V., High Temp., 2009, vol. 47, no. 3, p. 438.

    Article  Google Scholar 

  13. Kuznetsova, E.L., High Temp., 2011, vol. 49, no. 6, p. 881.

    Article  Google Scholar 

  14. Formalev, V.F. and Kolesnik, S.A., High Temp., 2013, vol. 51, no. 6, p. 795.

    Article  Google Scholar 

  15. Formalev, V.F. and Kolesnik, S.A., High Temp., 2017, vol. 55, no. 4, p. 549.

    Article  Google Scholar 

  16. Mironov, R.A., Zabezhailov, M.O., Rusin, M.Yu., Cherepanov, V.V., and Borodai, S.P., High Temp., 2016, vol. 54, no. 5, p. 682.

    Article  Google Scholar 

  17. Nenarokomov, A.V., High Temp., 1997, vol. 35, no. 6, p. 896.

    Google Scholar 

  18. Formalev, V.F., Kolesnik, S.A., Selin, I.A., and Kuznetsova, E.L., High Temp., 2017, vol. 55, no. 1, p. 101.

    Article  Google Scholar 

  19. Alekseev, A.K., High Temp., 1999, vol. 37, no. 4, p. 552.

    Google Scholar 

  20. Diligenskaya, A.N., High Temp., 2018, vol. 56, no. 3, p. 382.

    Article  Google Scholar 

  21. Pleshanov, A.S., High Temp., 2002, vol. 40, no. 2, p. 295.

    Article  Google Scholar 

  22. Berdnik, V.V. and Mukhamedyarov, R.D., High Temp., 2003, vol. 41, no. 6, p. 839.

    Article  Google Scholar 

  23. Alifanov, O.M., Obratnye zadachi teploobmena (Inverse Heat Transfer Problems), Moscow: Mashinostroenie, 1988.

    Google Scholar 

  24. Vikulov, A.G. and Nenarokomov, A.V., Tepl. Protsessy Tekh., 2014, vol. 6, no. 6, p. 274.

    Google Scholar 

  25. Vikulov, A.G. and Nenarokomov, A.V., Tepl. Protsessy Tekh., 2015, vol. 7, no. 7, p. 307.

    Google Scholar 

  26. Tikhonov, A.N. and Arsenin, V.Ya., Metody resheniya nekorrektnykh zadach (Methods for Solving Ill-Posed Problems), Moscow: Nauka, 1979.

    MATH  Google Scholar 

  27. Vikulov, A.G. and Nenarokomov, A.V., Tepl. Protsessy Tekh., 2016, vol. 8, no. 5, p. 214.

    Google Scholar 

  28. Vikulov, A.G. and Nenarokomov, A.V., Tepl. Protsessy Tekh., 2016, vol. 8, no. 11, p. 488.

    Google Scholar 

  29. Tikhonov, A.N., Vasil’eva, A.B., and Sveshnikov, A.G., Differentsial’nye uravneniya (Differential Equations), Moscow: Nauka, 1980.

    MATH  Google Scholar 

  30. Vikulov, A.G. and Vikulov, D.G., Elektronnaya provodimost’ kontaktov tverdykh tel (Electronic Conductivity of Solid-State Contacts), Saarbrucken: Lap Lambert, 2011.

    Google Scholar 

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FUNDING

The study was carried out within the governmental quota, project no. 9.9074.2017/BCh, of the Ministry of Education and Science of Russia.

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Correspondence to A. G. Vikulov or A. V. Nenarokomov.

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Translated by N. Semenova

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Vikulov, A.G., Nenarokomov, A.V. Refined Solution of the Variational Problem of Identification of Lumped Parameter Mathematical Models of Heat Transfer. High Temp 57, 211–221 (2019). https://doi.org/10.1134/S0018151X18060251

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  • DOI: https://doi.org/10.1134/S0018151X18060251

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