The steady-state process of heat conduction in the rotating disk of a d.c. unipolar generator has been considered. A mathematical model has been constructed and on the basis of its analysis the features of the radial temperature distribution in the disk have been elucidated and the influence on this distribution of the temperature dependence of the electrical resistivity and the heat conductivity coefficient of the disk material have been determined. We have established the limiting value of the temperature coefficient of electrical resistivity at which the existence of a stable temperature distribution in a disk of hyperbolic profile under certain boundary conditions becomes impossible. A solution and a numerical example for a linear problem as applied to a disk with a power dependence of its thickness on the radial coordinate are given.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 87, No. 4, pp. 796–801, July–August, 2014.
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Zarubin, V.S., Kuvyrkin, G.N. & Savel’eva, I.Y. Temperature State of a Unipolar Generator Disk. J Eng Phys Thermophy 87, 820–826 (2014). https://doi.org/10.1007/s10891-014-1077-2
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DOI: https://doi.org/10.1007/s10891-014-1077-2