Abstract An asymptotically consistent regenerator model has been developed, assuming arbitrarily large viscous losses in the regenerator, taken as a porous medium with arbitrary topology. The theory uses the multiple scale method. It is based upon a scaling assumption whereby fluid displacement is of the order of the regenerator length. Other assumptions include a small Mach number assumption, and that the mesh size is small compared with lengths and diameters. A specific distinguished limit (i.e., a specific relationship between these two small parameters) is required for viscous losses to be of the same magnitude as the temporal pressure amplitude. This model is then applied to the entire refrigerator, with amplitudes now restricted to small values (still in a fully asymptotically consistent manner), and with an inertance tube represented by an acoustic model. Results are obtained, including pressure and temperature profiles along the regenerator, and overall performance for various inertance tube designs.
Pulse Tube Refrigerator Analysis, Including Inertance Tube and Friction in the Regenerator
Cryocoolers 12 ; 389-396
2003-01-01
8 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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