A fnite volume method to investigate Flow characteristics of an orifce pulse tube refrigerator

A fnite volume method is developed for simulation of oscillatory compressibleow in the pulse tube part of an orice pulse tube refrigerator. governing equationsfor control volumes are written in 1d discretized form. second order upwind is usedfor the convective terms as well as euler implicit method for temporal derivatives. theresults include the temperature and mass ow rate as functions of time and position, andthe buer pressure as a function of time. a typical pulse tube is modeled by using thenumerical model. the results show that the present numerical method has good agreementwith previously published results. the cold end (inlet) mass ow rate makes an angleof 39.60 with the pressure vector. hot end mass ow rate is in phase with the pressurevector. previously, it was mentioned that in one-dimensional models, overshoots neverdisappear completely, whereas in the present one-dimensional model they are eliminated.the overshoots in the both ends for present results are less than those for 3d results.by using the results of eulerian coordinate, lagrangian approach is used to trackthe movement of the gas parcels to get their pressure, temperature, and velocity in athermodynamic cycle.