1958 年 27 巻 2 号 p. 65-72
Following the author's early paperj, some analyses are performed on the temperature distribution of cylindrical electrodes of a diode at high temperatures, where the dissipation energy of electrodes is transferred chiefly by radiation.
The fundamental equations are deduced under the following assumptions.
1. Heat radiation and reflection at electrode surfaces follow Lambert's law.
2. Heat conduction through electrode walls is negligible.
3. Total emissivity of the electrode surfaces is independent of temperature.
4. The electrodes are of the same length.
The equations are given by the following formulas. For the diode
K1(Z), K2(Z): kernel functions of the co-existive Fredholm's integral equations of the second kind. Q(Z): heat energy dissipating from the surface of electrode at the ultimate state of mutual radiation heating.
The method of numerical solution of these equations are given, and their results are discussed briefly.