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Variational problem of heating thin bodies

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Journal of engineering physics Aims and scope

Abstract

The problem of heating thin bodies optimally, in terms of a composite minimum fuel cost and metal loss by oxidation, is solved analytically. The solution is based on L. S. Pontryagin's maximum principle.

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Literature cited

  1. A. G. Butkovskii, E. M. Gol'dfarb, and E. S. Geskin, Izv. VUZov Chernaya Metallurgiya, No. 3, 173 (1967).

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  2. S. A. Malyi, Economical Heating of Metals [in Russian], Izd. Metallurgiya (1967).

  3. E. M. Gol'dfarb et al., Design of Heating Furnaces [in Russian], Gostekhizdat, Kiev (1958).

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Authors and Affiliations

  1. Institute of Metallurgy, Dnepropetrovsk

    é. M. Gol'dfarb & V. S. Ibraev

Authors
  1. é. M. Gol'dfarb
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  2. V. S. Ibraev
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Additional information

Translated from Inzhenerno-Fizieheskii Zhurnal, Vol. 23, No. 3, pp. 545–549, September, 1972.

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Gol'dfarb, é.M., Ibraev, V.S. Variational problem of heating thin bodies. Journal of Engineering Physics 23, 1195–1198 (1972). https://doi.org/10.1007/BF00832238

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  • DOI: https://doi.org/10.1007/BF00832238

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