Numerical analysis of 4 K pulse tube coolers: Part II. Performances and internal processes

Wang, C.

doi:10.1016/s0011-2275(97)00014-3

Cited by 33 publications

(8 citation statements)

References 5 publications

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“…This overshoot is also present in other one-dimensional simulations of single-inlet pulse tubes, see [35], [82], [84]. The same effect was reported in [83] for a double-inlet pulse tube.…”

supporting

confidence: 80%

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Numerical Simulation of Pulse-Tube Refrigerators

Lyulina

Mattheij²,

Tijsseling³

et al. 2004

International Journal of Nonlinear Sciences and Numerical Simulation

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“…This overshoot is also present in other one-dimensional simulations of single-inlet pulse tubes, see [35], [82], [84]. The same effect was reported in [83] for a double-inlet pulse tube.…”

supporting

confidence: 80%

“…The conservation equations were solved using the finite volume method. In later works [81], [82] real gas properties were taken into account. In [35] basically the same model was used for studying a double-inlet pulse tube and good agreement with experimental data was reported.…”

Section: Different Modelling Approachesmentioning

confidence: 99%

Numerical Simulation of Pulse-Tube Refrigerators

Lyulina

Mattheij²,

Tijsseling³

et al. 2004

International Journal of Nonlinear Sciences and Numerical Simulation

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“…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 friction factor:

C_{f} = ({, \begin{matrix} \frac{64}{Re} for laminar \\ \frac{124}{Re} + 0.0143 for turbulent \end{matrix}) .

The Nusselt number will be computed for laminar flow with isothermal BC as given by Boroujerdi et al, and turbulent flow as

italicNu = 0.023 {Re}^{0.8} {Pr}^{0.4} .

The axial‐conduction enhancement constant is

ξ = ({, \begin{matrix} 1 for laminar \\ 0.022 {Re}^{0.75} italicPr for turbulent \end{matrix}) .

More details regarding the discretization procedure may also be found in previous studies in the case of a pulse tube cooler. Furthermore, the calculation of performance parameters, such as the cooling power and COP, is similar to that proposed by Zhu and Matsubara …”

Section: Numerical Modelingmentioning

confidence: 99%

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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“…Oh here Re = puOh (9) The flow impedance factor z r of the regenerator is determined by the experimental data t141 and used in thermodynamic analysis of regenerator and pulse tubetiO. 15].…”

Section: Theoretical Model and Governing Equationsmentioning

confidence: 99%

A computational model for two-stage 4K-pulse tube cooler: Part I. Theoretical model and numerical method

Waele

2001

J. of Therm. Sci.

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A new mixed Eulerian-Lagrangian computational model for simulating and visualizing the internal processes and the variations of dynamic parameters of a two-stage pulse tube cooler (PTC) operating at 4 K-temperature region has been developed. We use the Lagrangian method, a set of moving grids, to follow the exact tracks of gas particles as they move with pressure oscillation in the pulse tube to avoid any numerical false diffusion. The Eulerian approach, a set of fixed computational grids, is used to simulate the variations of dynamic parameters in the regenerator. A variety of physical factors, such as real thermal properties of helium, multi-layered magnetic regenerative materials, pressure drop and heat transfer in the regenerator, and heat exchangers, are taken into account in this model. The present modeling is very effective for visualizing the internal physical processes in 4 K-pulse tube coolers.

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Numerical analysis of 4 K pulse tube coolers: Part II. Performances and internal processes

Cited by 33 publications

References 5 publications

Numerical Simulation of Pulse-Tube Refrigerators

Numerical Simulation of Pulse-Tube Refrigerators

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

A computational model for two-stage 4K-pulse tube cooler: Part I. Theoretical model and numerical method

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