Abstract
The possibility of analyzing the nonsteady temperature fields of inhomogeneous systems using the quasi-homogeneous-body model is investigated.
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Abbreviations
- t, tI, ti :
-
temperature of quasi-homogeneous body inhomogeneous system, and i-th component of system
- a, λ, cρ :
-
thermal diffusivity and conductivity and volume specific heat of quasi-homogeneous body
- ai λi, cρi :
-
same quantities for the i-th component
- q:
-
heat flux
- S, V:
-
system surface and volume
- x, y:
-
coordinates
- ι :
-
macrodimension of system
- α:
-
dimensionless temperature Fo=aτ/ι2
- Bi=αι/λ:
-
Fourier and Biot numbers
- N:
-
number of plates
- ε=h/ι:
-
ratio of micro- and macrodimensions
- ΔΘV,σ :
-
volumeaveraged and mean-square error of dimensionless-temperature determination
- τ:
-
time
- mi :
-
i-th component concentration
Literature cited
G. N. Dul'nev and Yu. P. Zarichnyak, Heat Conduction of Mixtures and Composite Materials [in Russian], Énergiya, Leningrad (1974).
B. V. Pol'shchikov, Investigation of Thermal Conditions of Electronic Equipment in Integral Use with Conductive Heat Transfer, Author's Abstract of Candidate's Dissertation, LITMO, Leningrad (1974).
A. A. Samarskii, Difference-Scheme Theory [in Russian], Nauka, Moscow (1977).
Yu. P. Adler, E. V. Markova, and Yu. V. Granovskii, Planning Experiments with Search for Optimum Conditions [in Russian], Nauka, Moscow (1976).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 1, pp. 126–133, July, 1980.
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Dul'nev, G.N., Sigaiov, A.V. Thermal diffusivity of inhomogeneous systems. Journal of Engineering Physics 39, 803–809 (1980). https://doi.org/10.1007/BF00821840
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DOI: https://doi.org/10.1007/BF00821840