Simultaneous Analytical Solution of the Complete System of Double-Inlet Pulse Tube Refrigerator

Abstract

Double-inlet pulse tube refrigerators are one of the most common types of cryocoolers. There are several advantages of double-inlet pulse tube refrigerators, such as not having moving parts, reliability, and long life. Double-inlet pulse tube refrigerators have been used in several applications such as cooling the semiconductors, infrared sensors, and astronomical detectors. In the recent decade, several research efforts have been performed to investigate double-inlet pulse tube refrigerators. Generally, most of them are experimental or numerical, and the recent literature survey shows there is not an analytical solution for the complete system of a double-inlet pulse tube refrigerator, simultaneously. In the present work, an analytical solution of the complete system of double-inlet pulse tuberefrigeratorshasbeenpresented.Oneoftheobjectivesistodecoupletheequationoftemperatureforapressure wave generator from other equations such that the governing equations become simplified significantly. Applying perturbation theory inspired by physics of the double-inlet pulse tube refrigerator, the governing equations will be quite easily solved. High accuracy and simplicity of solution are some of the most important benefits of this method. The solution has been validated with the experimental data.