In industrial production situations, temperature data is seldom acquired, but nevertheless is important in predicting residual stress profiles for critical dissimilar material inertia welds. The present model rapidly estimates peak joint temperatures using runtime data from actual welds together with the Duhamel's Integral solution to the heat conduction problem. The model predicts peak temperatures accurately in a stainless steel / niobium inertia weld, but is less accurate for cooling rates. Although numerical approaches such as finite element are more accurate, this model provides valuable guidance in weld parameter development and as a practical temperature estimation tool for production situations.