AN EXACT SOLUTION FOR SHUTTLE HEAT-TRANSFER

A new analytical solution has been obtained for the shuttle heat trans fer rate in displacer/cylinder systems having an axial temperature gra dient. The temperature oscillations of both the displacer wall and the cylinder wall were considered in the analysis. After the cyclic stead y state solution was obtained for the temperatures of the walls by int roducing complex temperatures, a simple mathematical expression was de rived to calculate the shuttle heat transfer. The usefulness of the re sults was justified by approximate solution of previous work.