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Heat transfer of a semitransparent plate under conditions of a regular regime of the second kind

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Abstract

The kinetics of the cooling of a plane semitransparent layer under conditions of a regular regime of the second kind is analyzed.

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Abbreviations

τ:

time

T:

temperature

Te :

temperature of the surrounding medium (the ambient temperature)

T°:

initial temperature of the layer

he :

coefficient of convective heat exchange

x:

coordinate

α:

coefficient of absorption of the substance

n:

index of refraction

B(λ, T):

surface density of radiation of a black body

Cγ:

bulk specific heat

K:

thermal conductivity

λ:

wavelength of the radiation

λt :

range of wavelengths in which the material is partially transparent

λop :

range of wavelengths in which the material is opaque

ε:

degree of blackness of the surfaces in the range of λop

R(Θ):

coefficient of reflection from the inner surfaces of the layer

φ+ :

intensity of the rays consisting of acute angles with the inner normal to the surface x = 0

φ− :

intensity of rays in the opposite direction

q:

thermal flux

Θ:

angle measured from the inner normal to the surface x = 0

Literature cited

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Authors
  1. I. A. Gorban'
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  2. Yu. V. Lipovtsev
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 41, No. 3, pp. 541–546, September, 1981.

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Gorban', I.A., Lipovtsev, Y.V. Heat transfer of a semitransparent plate under conditions of a regular regime of the second kind. Journal of Engineering Physics 41, 1035–1039 (1981). https://doi.org/10.1007/BF00821819

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  • DOI: https://doi.org/10.1007/BF00821819

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