General directions for rough optimal calibration of Stirling machines can be given by a non-dimensional Schmidt model (nDSM). Since different relative parameters and performance indices have been analyzed by nDSM models, there is lack of uniform conclusions in the literature. This paper describes a new nDSM of six parameters and compares four performance indices as functions of relative parameters. Two optimization tasks of two and five parameters are formulated and solved using the nDSM. Maximized criterion is cycle work per unit of mean pressure and total swept volume. An optimization code based on the algorithm of conjugate gradients with projection on linear constraints is described. The optimal values of volume phase angle, nondimensional swept volume, and dead volume are presented for different constraints imposed on temperature ratio and relative dead volumes.

1.
Berchowitz, D. M., and Wyatt-Mair, G. F., 1979, “Closed-Form Solutions for a Coupled Ideal Analysis of Free-Piston Stirling Engines,” Proceedings of the 14th Intersociety Energy Conversion Engineering Conference, Boston, MA.
2.
Carlini, M., Cichy, M., and Mancini, M., 1985, “Validation of Thermodynamic and Mechanical Models of Free Piston Stirling Engines,” Proceedings of the 20th Intersociety Energy Conversion Engineering Conference, Miami Beach, FL.
3.
Gill, P. E., Murray, W., and Wright, M., 1981, Practical Optimization, Academic Press, New York.
4.
Heams, T. J., et al., 1982, “Stirling Engine Thermodynamic Analysis: A Users Guide to SEAMI,” ANL-82-59.
5.
Martini, W. R., 1983, “Stirling Engine Design Manual,” DOE/NASA/3194-1, NASA CR-168088, 2nd ed.
6.
Naso, V., 1991, “La macchi´na di´ Stirling,” Editoriale ESA, Masson, Milano.
7.
Schock, A., 1978, “Nodal Analysis of Stirling Cycle Devices,” Proceedings, 13th Intersociety Energy Conversion Engineering Conference, San Diego, CA.
8.
Urieli, I., and Berchovitz, D. M., 1984, Stirling Cycle Engine Analysis, Adam Higler Ltd., Bristol.
9.
Walker, G., 1980, Stirling Engines, Oxford University Press, Oxford.
This content is only available via PDF.
You do not currently have access to this content.