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Analytic Solutions of the Cylindrical Heat Equation with a Heat Source

Abstract

In this article, the superposition and the separation of variables methods are applied in order to investigate the analytical solutions of a heat conduction equation in cylindrical coordinates. The structures of the transient temperature and the heat transfer distributions are summed up for a direct mix of the results of the Fourier–Bessel series of the exponential type for the partial differential equation which we investigate here. Relevant connections of the results, which we have presented in this article, with those in some other closely-related earlier works are also indicated.

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Correspondence to H. M. Srivastava, K.-Y. Kung, S.-F. Lee or S.-D. Lin.

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Srivastava, H.M., Kung, KY., Lee, SF. et al. Analytic Solutions of the Cylindrical Heat Equation with a Heat Source. Russ. J. Math. Phys. 28, 545–552 (2021). https://doi.org/10.1134/S1061920821040129

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  • DOI: https://doi.org/10.1134/S1061920821040129