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Stochastic Model of Heat Conduction with Heat Sources or Sinks

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Journal of Engineering Physics and Thermophysics Aims and scope

A one-dimensional stochastic model of heat conduction has been developed for the case of the presence of heat sources or sinks in the region of transfer. Boundary-value problems for average temperature and temperature field dispersion in the region of heat conduction and boundary conditions for the temperature distribution function have been formulated. Generalization of the indicated one-dimensional boundary-value problems to the case of a larger number of measurements is given in an invariant form.

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Authors and Affiliations

  1. Russian Technological University — MIREA, 78 Vernadskii Ave, Moscow, 119454, Russia

    V. V. Shevelev

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  1. V. V. Shevelev
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Correspondence to V. V. Shevelev.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 3, pp. 637–647, May–June, 2019.

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Shevelev, V.V. Stochastic Model of Heat Conduction with Heat Sources or Sinks. J Eng Phys Thermophy 92, 614–624 (2019). https://doi.org/10.1007/s10891-019-01970-2

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  • DOI: https://doi.org/10.1007/s10891-019-01970-2

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