Phasor analysis for double inlet pulse tube cryocooler

Concept of phasor analysis of pulse tube cryocooler was introduced by Radebaugh. This concept was further explained by Kittel and using Taylor series expansion an expression for refrigeration power was developed by them which does not involve phase angle between mass flow at the cold end and pressure vector for orifice pulse tube refrigerator(OPTR). In the present work the concept of phasor analysis is extended for double inlet pulse tube refrigerator (DIPTR). Phasor diagram for DIPTR is proposed using expression for mass flow rate across orifice, double inlet valve etc. An expression for refrigeration power for DIPTR is developed, using Taylor series expansion, which does not include the phase angle. The refrigeration power thus obtained was compared with that obtained using the expression given by Radebaugh. Effect of pulse tube diameter and length, pressure difference, frequency and flow co-efficient for double inlet valve on phase angle and mass flow rate at cold end is studied for DIPTR and OPTR. It is found that pulse tube diameter and length, frequency and double inlet flow co-efficient have considerable influence on phase angle. There exists optimum value of pulse tube diameter and length, frequency and double inlet co-efficient to get minimum phase angle. Pressure difference is found to have no influence on phase angle.