A mathematical model of the gas-cooled, resistive portion of a binary curre
nt lead has been developed. An analytical solution of the time-dependent di
fferential equations for the resistive portion of the forced flow cooled cu
rrent lead is presented which allows one to calculate the evolution of the
temperature profile and voltage drop. A comparison of analytical with numer
ical calculations and a comparison of the calculations with experimental da
ta are given.