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Equation for stochastic thermal fields

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Abstract

From phenomenological laws in the difference representation for the mean values and on the assumption that the thermal field is Markovian we obtained a partial differential equation with account for the field stochasticity. Integral mean values of the thermal field are shown to obey the well-known heat conduction equation.

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Authors and Affiliations

  1. N. É. Bauman Moscow State Technical University, Russia

    I. A. Solov’ev

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  1. I. A. Solov’ev
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 2, pp. 396–400, March–April, 2000.

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Solov’ev, I.A. Equation for stochastic thermal fields. J Eng Phys Thermophys 73, 390–395 (2000). https://doi.org/10.1007/BF02681747

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  • DOI: https://doi.org/10.1007/BF02681747

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