Abstract: A new lumped element model for the high temperature and high intensity sound progressive wave tube is developed, based on the associated physical principles and the classical control modeling methods. The heat transfer dynamics in thermal-acoustic fatigue tests can be predicted rapidly by the new model. The accuracy of this model is verified by comparing to experimental and computational results. The modeling method used in this work clarifies the complex coupled physics and its applications can be found in designs and evaluations of thermal-acoustic experiments.