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A Third Order Computer Model for Stirling Refrigerators
S.W.K. Yuan and I.E. Spradley
Research and Development Division
Lockheed Martin Missiles and Space Co.
Palo Alto, CA 94304, U.S.A.
A third order split-Stirling refrigerator model has been developed under an Independent Research program at Lockheed's Research and Development Division. The model consists of more than 90 nodes, with most of them inside the regenerator of the displacer where the temperature gradient is large. Conservation of mass, momentum and energy are solved at each node until the solution converges. The model is programmed using Continuous System Simulation Language (CSSL), which lends itself to solving a large number of complex and non-linear differential equations simultaneously. Some special features of the computer program include, Smith's complex Nusselt number for heat transfer in the compressor and expansion space; Kays and London's correlations between heat and mass transfer in the regenerator; Amar and Cannon's pressure drop in the regenerator screens; Gorring's thermal conductivity of heterogeneous materials for the regenerator matrix; laminar and turbulent transport in the transfer line; and entrance / exit effects in all major contractions and expansions. Typical outputs of the model include temperature, pressure, and gas flowrates throughout the cooler. Other outputs are P-V works at the compression and expansion space, and heat balance over the entire refrigerator unit. This model was validated against the experimental results of an Oxford type Lucas Stirling refrigerator with excellent agreement being found between the two. Download this Paper
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About the author- Dr. Sidney Yuan is a consultant in the field of Low Temperature Physics and Cryogenics, and has written a Book on Cryogenics and published extensively in the field. E-Mail.
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