Consider a soldering situation where the tip raises the temperature at point A of a copper wire to 100◦C (Figure 12.25). The wire is 15 cm long and 0.02 cm in diameter. The temperature at both ends is 20◦C. The thermal conductivity k of the copper wire is 26 J/◦C ms. Assume the circumferential surface of the wire is adiabatic. Using three linear elements of equal length,
(a) determine the heat flux into the wire at point A, and
(b) determine the heat flux at both ends of the wire.
(c) explain whether three elements are really needed for this problem, and
(d) repeat (a) and (b), for giving a heat flux of 4×10−3 J/s instead of the temperature