The gas processes in the Stirling cycle machine are usually modelled in the Eulerian reference frame. In Lagrange coordinates the energy equation by itself is a transparent statement of the physical phenomena involved, and is simple symbolically. It is virtually a ‘one-line’ description of the gas processes at all locations and at all points in the cycle.
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References
1.
AmesW. F.Non-linear partial differential equations in engineering, 1965 (Academic Press, New York).
2.
ShapiroA. H.The dynamics and thermodynamics of compressible fluid flow, 1954 (Ronald, New York).
3.
OrganA. J.Thermodynamics and gas dynamics of Stirling cycle machines, 1992 (Cambridge University Press, Cambridge).
4.
HaywoodR. W.Thermodynamic tables in SI (metric) units, 2nd edition, 1976 (Cambridge University Press, Cambridge).
5.
KaysW. M.LondonA. L.Compact heat exchangers, 1964 (McGraw-Hill, New York).
6.
AnnandW. J. D.Heat transfer in the cylinders of reciprocating internal combustion engines. Proc. Instn Mech. Engrs, 1963, 177 (36), 973–977.
7.
RixD. H.An enquiry into gas process asymmetry in the Stirling cycle machine. PhD dissertation, University of Cambridge, 1984.
8.
OrganA. J.The concept of ‘critical length ratio’ in heat exchangers for Stirling cycle machines. Proceedings of Tenth Inter-society Conference on Energy conversion engineering, Newark, Delaware, 18–22 August, 1975, pp. 1012–1019.
9.
FinkelsteinT.Optimization of the phase angle and volume ratio for Stirling engines. Proceedings of SAE Winter Annual Meeting, 1960, paper 118C (American Society of Automobile Engineers).
10.
OrganA. J.Fluid particle trajectories in Stirling cycle machines. J. Mech. Engng Sci., 1978, 20(1), 1–10.
