Simple test here. 0.5 m long steel wire with 1E-3 V on one and 0 V on the opposite face end. With tiny convection BC on all 3 faces of 1E-4 and bulk temp of 22 for the conv.
Voltage is 1E-3 on one end and 0 on other.
Dir. electric file int. Ez = -dV/dz = .001V/0.5 m = -.002 V/m, that is what ansys gives.
Dir current density: Jz=sigmaz*Ez = 1/(1.7E-7)*-.002= -1.1765E4 A/m2, that is what ansys gives
Joule heating = Jz^2*resistivity = (-1.1765E4)^2*1.7E-7 = 23.53 W/m2, that is what ansys gives.
Temp. rise is from 22 ambient to 314, that is correct answer (just add the internal heat on a pure steady state heat transfer run, and one gets same)
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