Conclusions
The transient thermal behaviour of spherical electrodes carrying direct current has been analysed by classical methods. Formal solutions have been obtained for two cases; one involving concentric spheres, the other a single sphere in an infinite medium. Numerical integration must be employed to obtain particular solutions and computer programs were developed for this purpose. Numerical results based on average physical conditions in moist soil show that the Apparent Time Constant is significantly higher than the value obtained using the initial rate of temperature rise.
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Berg, G.J., Herron, A.G. Transient thermal behaviour of ground electrodes part I: Spherical electrodes. J Eng Math 2, 173–186 (1968). https://doi.org/10.1007/BF01535560
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DOI: https://doi.org/10.1007/BF01535560