The mathematical models of electromagnetic field dynamics and heat transfer in closed electrical contacts including Thomson effect

2016

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DOI 10.1063/1.4959686
Data confidence 70 medium
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Abstract

We represent mathematical models of electromagnetic field dynamics and heat transfer in closed symmetric and asymmetric electrical contacts including Thomson effect, which are essentially nonlinear due to the dependence of thermal and electrical conductivities on temperature. Suggested solutions are based on the assumption of identity of equipotentials and isothermal surfaces, which agrees with experimental data and valid for both linear and nonlinear cases. Well known Kohlrausch temperature-potential relation is analytically justified.