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Thermal radiation of the body in a thermally conductive medium in the presence of the fluctuating external influence

Keywords:

A.N. Morozov – Dr.Sc. (Phys.-Math.), Professor, Head of Physics Departament of Bauman Moscow State Technical University. E-mail: amor@mx.bmstu.ru
A.V. Skripkin – Ph.D. (Phys.-Math.), Associate Professor of Physics Departament of Bauman Moscow State Technical University. E-mail: skripkin@bmstu.ru


This work considers the radiation of a black body placed in a heat-conducting medium. The differential heat balance equation, which takes into account, in addition to radiation, convective heat transfer medium, is found. Detailed study of the two extreme cases: in the first of these convective transport is much less radiation, in the second – the radiation is neglected compared to convective transport. In the work is supposed that the body is subjected to external fluctuating effects of having the character of white noise. In these two cases found statistical characteristics of the radiation intensity of the body, including the spectral power density.
References:

  1. Morozov A.N., Skripkin A.V. Teplovoe izluchenie tela, podverzhennogo fluktuiruyushhemu vneshnemu vozdejstviyu // Prikladnaya fizika. 2011. № 3. S. 25-31.
  2. Pugachev V.S., Siniczy'n I.N. Stoxasticheskie differenczial'ny'e sistemy'. M.: Nauka. 1990.
  3. Morozov A.N. Metod opisaniya nemarkovskix proczessov, zadavaemy'x linejny'm integral'ny'm preobrazovaniem // Vestnik MGTU. Estestvenny'e nauki. 2004. № 3. S.47-56.
  4. Morozov A.N., Skripkin A.V. Spherical particle Brownian motion in viscous medium as non-Markovian random process // Physics Letters A. 2011. V. 375. P. 4113–4115
  5. Morozov A.N., Skripkin A.V. Opisanie ispareniya sfericheskoj chasticzy' zhidkosti ka nemarkovskogo sluchajnogo proczessa s ispol'zovaniem integral'ny'x stoxasticheskix uravnenij // Izvestiya vuzov. Fizika. 2010. T. 53. № 11. S. 55-64.
  6. Morozov A.N., Skripkin A.V. Rasprostranenie tepla v prostranstve vokrug czilindricheskoj poverxnosti kak nemarkovskij sluchajny'j proczess // Inzhenerno-fizicheskij zhurnal. 2011. T. 84. № 6. S. 1121-1127.
  7. Morozov A.N., Skripkin A.V. Opisanie fluktuaczij intensivnosti lyuminesczenczii kak nemarkovskogo sluchajnogo proczessa // Nelinejny'j mir. 2010. T. 8. № 9. S. 545-553.
  8. Pontryagin L.S. Oby'knovennoe differenczial'ny'e uravneniya. M.: Nauka. 1974.

June 24, 2020
May 29, 2020

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