Development and validation of a thermodynamic model for the performance analysis of a gamma Stirling engine prototype

This work presents the development and validation of a numerical model that represents the performance of a gamma Stirling engine prototype. The model follows a modular approach considering ideal adiabatic working spaces; limited internal and external heat transfer through the heat exchangers; and mechanical and thermal losses during the cycle. In addition, it includes the calculation of the mechanical efficiency taking into account the crank mechanism effectiveness and the forced work during the cycle. Consequently, the model aims to predict the work that can be effectively taken from the shaft. The model was compared with experimental data obtained in an experimental rig built for the engine prototype. The results showed an acceptable degree of accuracy when comparing with the experimental data, with errors ranging from ±1% to ±8% for the temperature in the heater side, less than ±1% error for the cooler temperatures, and ±1 to ±8% for the brake power calculations. Therefore, the model was probed adequate for study of the prototype performance. In addition, the results of the simulation reflected the limited performance obtained during the prototype experiments, and a first analysis of the results attributed this to the forced work during the cycle. The implemented model is the basis for a subsequent parametric analysis that will complement the results presented. - Highlights: • A numerical model for a Stirling engine was developed. • A mechanical efficiency analysis was included in the model. • The model was validated with experimental data of a novel prototype. • The model results permit a deeper insight into the engine operation