Abstract
From the temperature distributions of an infinite cylinder with a distributing heat source, the volterra's integral equation of 2nd kind including an unknown function qm (t) is derived.
qm(t) is the heat flow the contact plane between the plate and the elctrode to the material per unit area and time.
This integral equation is the Poisson's type and can be calculated by the Whittaker's method.
The temperature distributions of the plate and the electrode are fiquired out by using qm(t).
qm(t) becomes nearly a constant value after certain time has passed when the adiabatic radius of the plate is small and the diffusibility of the plate is large.
In this case, when the current density is constant, it is proved that the radius of the electrode affects the cooling effect of the electrode more than the distance from the thermally neutral point to the contact surface between the electrode and the plate.
