Ra. Macdonald, AN ANALYTICAL METHOD FOR DETERMINING THERMAL-CONDUCTIVITY FROM DYNAMIC EXPERIMENTS, International journal of heat and mass transfer, 38(14), 1995, pp. 2549-2556
The temperature profile along a cylindrical rod or tube as it cools ha
s been obtained by numerical solution of the second-order time-depende
nt partial differential equation for heat conduction. The surface temp
erature is calculated for given temperature dependent values of the he
at capacity, hemispherical total emissivity, thermal expansion and the
rmal conductivity and, by adjusting the thermal conductivity, is fitte
d to experimental temperature profiles obtained from preliminary measu
rements on a cooling cylindrical tungsten rod. The surface temperature
of the rod is quite sensitive to the thermal conductivity but the acc
uracy of the predicted thermal conductivity cannot be assessed without
further experimentation.