Abstract
Equations are formulated which describe the transfer of heat from a solid core in a parallelepiped to a cooling fluid passing through the parallelepiped. Kantorovich's method of reduction to ordinary differential equations is used to obtain an approximate solution of the equations.
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G. N. Dul'nev and É. M. Semyashkin, Heat Transfer in Radio-Electronic Apparatus [in Russian], Izd. Énergiya (1968).
A. F. Chudnovskii, Heat Transfer in Distributed Media [in Russian], GITTL (1954).
L. V. Kantorovich and V. I. Krylov, Approximation Methods of Higher Analysis [in Russian], GITTL (1949).
I. N. Bronshtein and K. A. Semendyaev, A Reference Book on Mathematics [in Russian], Fizmatgiz (1965).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 17, No. 3, pp. 506–511, September, 1969.
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Dul'nev, G.N., Kaidanov, A.I. Temperature field of parallelepiped with volume energy sources and internal convection. Journal of Engineering Physics 17, 1137–1141 (1969). https://doi.org/10.1007/BF00827824
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DOI: https://doi.org/10.1007/BF00827824