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Numerical calculation of a generalized thermal model of radio-electronic apparatus

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Abstract

A method is proposed for numerical calculation of the temperature field of a generalized model of electronic equipment with high component density.

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Abbreviations

x,y,z,x′,y′:

spatial coordinates, m

τ:

time, sec

Lx, Lv, Lz :

dimensions of heated zone, m

λx, λy, λz :

effective thermal-conductivity coefficients of heated zone, W/m·deg

λ2 :

thermal conductivity of chassis, W/m·deg

a z :

thermal diffusivity of heated zone along z axis, m2/sec

c1 :

effective specific heat of heated zone, J/kg·deg

ρ1 :

effective density of heated zone, kg/m3

c3, ρ3, c2, ρ2 :

thermophysical characteristics of cooling agent and chassis, J/kg·deg·kg/m3

qv(x, τ), q(x′, y′):

volume heat-source distribution, W/m3

qs (x):

surface heat-source distribution, W/m2

p:

number of cooling agent channels

Fo:

Fourier number

Bi:

Biot number

Ui :

coolant velocity in i-th channel, m/sec

T1(x, τ), T2(x, τ), T3(x, τ):

temperature distribution of heated zone, chassis, and coolant, °K

T30, T10(x), T20(x):

initial temperatures, °K

T3in :

coolant temperature at input to channel, °K

TT(x):

effective temperature distribution of heat loss elements, °K

TC :

temperature of external medium, °K

θ:

dimensionless heated zone temperature

αv(x):

local volume heat exchange coefficient, W/m3·deg

α12(x), α1C(x), α1T(x):

heat liberation coefficients

W/m2·sec; β21(x′, y′), β2c(x′, y′), β2T(x′, y′):

volume heat-exchange coefficients of chassis with heated zone, medium, and cooling elements, W/m3·deg

Literature cited

  1. I. Grekova, “Methodological peculiarities of applied mathematics in the present state of development,” Vopr. Filosof., No. 6, 104–115 (1976).

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  2. G. N. Dul'nev and N. N. Tarnovskii, Thermal Regimes of Electronic Equipment [in Russian], Energiya, Moscow (1971).

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  3. G. N. Dul'nev and B. V. Pol'shchikov, “Generalized thermal model of electronic equipment with high component density,” Izv. Vyssh. Uchebn. Zaved., Priborostr., No. 10, 121–125 (1976).

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  4. A. A. Samarskii, Theory of Difference Systems [in Russian], Nauka, Moscow (1977).

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  5. A. V. Lykov, Handbook of Heat-Mass Exchange [in Russian], Energiya, Moscow (1978).

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  6. Yu. G. Volodin and V. V. Gasanova, “Computer method for calculating the thermal regime of communications equipment,” Communications Technology [in Russian], Moscow (1977), pp. 62–69.

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Authors and Affiliations

  1. Leningrad Institute of Exact Mechanics and Optics, USSR

    E. F. But'ko, G. N. Dul'nev & V. G. Parfenov

Authors
  1. E. F. But'ko
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  2. G. N. Dul'nev
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  3. V. G. Parfenov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 40, No. 5, pp. 876–882, May, 1981.

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But'ko, E.F., Dul'nev, G.N. & Parfenov, V.G. Numerical calculation of a generalized thermal model of radio-electronic apparatus. Journal of Engineering Physics 40, 542–547 (1981). https://doi.org/10.1007/BF00822122

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  • DOI: https://doi.org/10.1007/BF00822122

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