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Dynamic modelling of a Gifford-McMahon cryorefrigerator

✍ Scribed by C. Minas; P.M. Hualde

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 496 KB
Volume: 32
Category: Article
ISSN: 0011-2275
DOI: 10.1016/0011-2275(92)90295-l

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✦ Synopsis

The dynamic characteristics of a pneumatically driven Gifford-McMahon cryorefrigerator are modelled when the cryorefrigerator is operating in the steady state regime. The mathematical model, which includes dynamic, fluid dynamic and thermodynamic effects, consists of a set of six simultaneous differential equations. The model variables were determined to be the gas masses in the various chambers of the cryocooler's two stages, and the displacer's position and velocity. The non-linear time-varying system of differential equations is solved by numerical integration routines that use the Adams-Moulton method with an adaptive integration step size and a user specified tolerance. A direct comparison of the algorithm predicted results and actual experimental data indicates that the algorithm models the trends of the physical phenomena in an accurate fashion.

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