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Effects of temperature dependence of electrical and ...
Effects of temperature dependence of electrical and thermal conductivitieson the Joule heating of a one dimensional , ,2 PengZhang,1,a)and Y. of Nuclear Engineering and Radiological Sciences, The University of Michigan, Ann Arbor,Michigan 48109, USA2 Leidos, Inc., Reston, Virginia 20190, USA(Received 4 August 2016; accepted 20 September 2016; published online 5 October 2016)We examine the Effects of temperature dependence of the electrical and thermal conductivities onJoule heating of a one-dimensional conductor by solving the coupled non-linear steady state electri-cal and thermal conduction equations. The spatial temperature distribution and the maximum tem-perature and its location within the conductor are evaluated for four cases: (i) constant electricalconductivity and linear temperature dependence of thermal conductivity, (ii) linear temperaturedependence of both electrical and thermal conductivities, (iii) the Wiedemann Franz relation formetals, and (iv) polynomial fits to measured data for carbon nanotube fibers and for copper.
Effects of temperature dependence of electrical and thermal conductivities on the Joule heating of a one dimensional conductor F. Antoulinakis,1 D. Chernin,2 Peng Zhang,1,a) and Y. Y. Lau1 1Department of Nuclear Engineering and Radiological Sciences, The University of …
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