Abstract
A compact analytical solution of the one-dimensional problems of heat conduction is obtained for bodies of canonical shape with constant thermophysical properties and internal heat sources (sinks), whose power is generally coordinate-dependence. The solution includes, as partial cases, numerous known and new problems of stationary and nonstationary heat conduction, excluding the case of simultaneous assignment of second-second kind conditions on boundary surfaces.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 1, pp. 107–112, January–February, 2000.
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Eliseev, V.N. Calculation of radiative-conductive heat transfer in a system closed by a semitransparent envelope. J Eng Phys Thermophys 73, 105–111 (2000). https://doi.org/10.1007/BF02681684
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DOI: https://doi.org/10.1007/BF02681684