Abstract
A mathematical model of regenerative refrigerators has been developed, and an active buffer pulse tube refrigerator was numerically analyzed. The model is based on one space dimensional approximations of time dependent conservation laws in gasdynamics; different from the previous models it does not require to assume the temperature of cold head heat exchanger apriori, but can analyze the dynamic properties of refrigerators, such as cooling rates, time dependent temperature distributions, and gas displacements. Analytical results on the dynamic properties of the active buffer pulse tube refrigerator as well as the energy fluxes in the refrigerator are reported.
