Influence of characteristics of flow control valves on the cooling performance of a GM cryocooler

Panda, Debashis; Sarangi, Sunil; Satapathy, Alok

doi:10.1016/j.vacuum.2019.108836

Cited by 15 publications

(11 citation statements)

References 18 publications

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“…Although the figures for mass flow rate variations (Figures and for triangular openings, and Figures and for Gaussian openings) and pressure‐volume variations (Figures and for triangular openings, and Figures and for Gaussian openings) for both opening shapes appear to be similar, there exist some minor variations in the graphs for both the openings. Also, the similar trends have been reported previously by Xu and Morie and Panda et al…”

Section: Resultssupporting

confidence: 91%

“…This is due to the movement of the fluid from the warm end to the cold end of the displacer through the regenerator, due to the displacer motion. The similar nature was also reported by Xu and Morie and Panda et al…”

Section: Resultssupporting

confidence: 90%

“…The numerical model used here is based on the work of Xu and Morie, on that of Panda et al for a GM cooler, and on that of Wang and Gifford for a pulse tube cooler, which was subsequently improved by considering various loss mechanisms . The governing differential equations are continuity, momentum, and energy equations for fluid domain, and energy equation for solid matrix and wall.…”

Section: Numerical Modelingmentioning

confidence: 99%

“…The right‐hand‐side boundary condition is the motion of the displacer that is modeled by using the dynamic meshing motion. The rotary valve generates the pressure waveform that is used as the left‐hand‐side boundary condition of the computational domain (left end of the first control volume) . The discretized equations at the i th location and the j th time along with their coefficients are presented below.…”

Section: Numerical Modelingmentioning

confidence: 99%

“…The discretized energy equations for the fluid and solid/matrix have been solved by employing “pentadiagonal” and “tridiagonal” matrix algorithms, respectively. The constants α 1 , α 2 , and α 3 are equal to 1, 1, and 0 for the first‐order implicit method, and 1.5, 2.0, and 0.5 for the second‐order implicit method . The detail procedure for solution of discretized algebraic equations is presented in a flow chart (see Figure A).…”

Section: Numerical Modelingmentioning

confidence: 99%

See 4 more Smart Citations

Effect of valve opening shapes on the performance of a single‐stage Gifford‐McMahon cryocooler

Panda

Satapathy

Sarangi

2019

Engineering Reports

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In this work, the effect of the triangular and Gaussian‐shaped opening of the rotary valve (ie, the valve timing diagram of high‐pressure and low‐pressure valves) on the performance of a single‐stage Gifford‐McMahon (GM) cryorefrigerator is numerically investigated. In addition, the effect of waiting time of the rotary valve on its cooling power and coefficient of performance is studied for both types of opening shapes. The governing equations representing the fluid flow and heat transfer behaviors of the refrigerator are solved by using an implicit finite‐volume discretization method. The model considers both primary and secondary loss mechanisms. The developed model is first validated with the published results on GM cryorefrigerators. A very good agreement appears among them. It is observed that no significant change can be appreciated in the cooling power between 40° to 90° of waiting time for both types of opening shapes. On the other hand, in‐between 1° to 40° of waiting time, the cooling power of the Gaussian‐shaped opening of the rotary valve is higher than the one of the triangular opening.

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Section: Resultssupporting

confidence: 91%

Section: Resultssupporting

confidence: 90%