Analytical Model and Experimental Results of a Miniature Pulse Tube Refrigerator
An analytical model of the ideal Orifice and Double Inlet Pulse Tube Refrigerators (OPTR and DIPTR) has been developed last year. The main purpose of this paper is to show the practical use of this model to design a miniature DIPTR.
In this model, the velocity profile along the tube and the gross refrigeration power were deduced from the only measurements of the gas pressure in the tube. For a miniature Pulse Tube with small amplitudes sinusoidal oscillations, the gas pressure in the tube can be calculated from the swept volume of the compressor, the average pressure, the working frequency, the regenerator components, the orifice impedances and the sizes of the each part (dead volumes, regenerator and pulse tube). Thus, the hysteresis effect can be calculated and the following parameters predicted: the mass flow rate as function of the temperature at the both ends of the tubes, the length and the motion of the buffer gas and the available power for a given mass flow rate.
The calculations are compared with a DIPTR designed for a small standard oscillator manufactured by L’AIR LIQUIDE for the infra-red detectors cooling.
KeywordsMass Flow Rate Dead Volume Pulse Tube Electrical Analogy Pulse Tube Refrigerator
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