Abstract
The thermoacoustic theory is applied to discussions on cooling power of a regenerator with narrow channels (ωτa<<1). Heat flux in the regenerator is shown to be a quadratic equation of the operating frequency ω, and there is a characteristic frequency ωQ. If ωQ is independent of ω, the cooling power is also a quadratic equation of ω, and it shows maximum at ω=ωQ. The cooling power depends on the temperature of the cold end partly through ωQ, which depends on material constants of the working fluid, the oscillating amplitudes, and the phase difference between pressure and displacement of the fluid. Discussions on ωQ and the maximum cooling power give a qualitative explanation of recent experimental results on 4K G-M cryocoolers only if ωQ is identified with experimentally obtained operating frequency corresponding to a maximum cooling power of 4K G-M cryocoolers.
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