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Question of solving nonlinear problems under the combined action of heat conduction and radiation

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Journal of engineering physics Aims and scope

Abstract

The radiant heat transfer of an annular plate to the environment is examined. A simple analytic solution is obtained that describes the stationary temperature field.

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Abbreviations

T:

running temperature

Ti :

temperature of the inner edge of the ring

r:

running radius

ɛ:

emissivity

σ:

Stefan-Boltzmann constant

λ0 :

heat conductivity of the material

b:

thickness of the annular plate

λ:

relative temperature

R=r/r0 :

relative running radius

Literature cited

  1. R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, McGraw-hill (1972).

  2. G. M, Fikhtengol'ts, Differential and Integral Calculus [in Russian], Vol. 3, Fizmatgiz (1963), pp. 414–461.

  3. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1977).

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  4. L. E. El'Sgol'Ts, Differential Equations, Gordan and Breach (1961).

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Authors and Affiliations

  1. A. V. Lykov Institute of Heat and Mass Transfer, Academy of Sciences of the Belorussian SSR, Minsk

    G. A. Surkov & V. I. Yurinok

Authors
  1. G. A. Surkov
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  2. V. I. Yurinok
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 42, No. 1, pp. 119–122, January, 1982.

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Surkov, G.A., Yurinok, V.I. Question of solving nonlinear problems under the combined action of heat conduction and radiation. Journal of Engineering Physics 42, 99–101 (1982). https://doi.org/10.1007/BF00825001

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  • DOI: https://doi.org/10.1007/BF00825001

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