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Thermodynamic Analysis of the Ericsson Refrigeration Cycles Working with Quantum Ideal Gases

机译:用量子理想气体工作的爱立信制冷循环的热力学分析

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At sufficiently low temperature or high pressure conditions, an ideal gas obeys Fermi-Dirac or Bose-Einstein statistics instead of Maxwell-Boltzmann statistics. In this case, an ideal gas is called a quantum ideal gas. The corrected ideal gas equation of state is used for quantum ideal gases. The specific heat at constant pressure of a quantum ideal gas significantly depends on the pressure besides the temperature. In this work, Bose (4{sup left}He) and Fermi (3{sup left}He) monatomic ideal gases are considered as a refrigerant in the Ericsson refrigeration cycle. Due to the pressure dependence of specific heat at constant pressure, coefficient of performance, COP, is different from that of the classical Ericsson cycle, which works with a classical ideal gas. The changes of COP with low temperature of the cycle (T{sub}L) is examined. It is understood that the coefficient of performance is less than that of the classical cycle. Availability analysis of the cycle is made. The variation of the cycle effectiveness with T{sub}L is analysed. It is shown that the origin of performance loss is the extra heat addition or rejection processes in the regenerator due to the pressure dependence of specific heat at constant pressure. When a Bose gas is used as a refrigerant, it is seen that the refrigeration effect per cycle can be greater than that of the classical Ericsson cycle. If the Fermi gas is used as a refrigerant, the refrigeration effect per cycle is always lower than that of the classical Ericsson cycle.
机译:在足够低的温度或高压条件下,理想的气体obeys fermi-dirac或bose-einstein统计而不是maxwell-boltzmann统计数据。在这种情况下,理想的气体被称为量子理想的气体。状态的校正的理想气体方程用于量子理想气体。除温度外,量子理想气体的恒定压力下的比热显着取决于压力。在这项工作中,Bose(4 {Sup Left} He)和费米(3 {Sup Left} He)Modomic理想气体被认为是爱立信制冷循环中的制冷剂。由于特定热量在恒定压力下的压力依赖性,COP的性能系数与经典爱立信循环的系数不同,它与经典理想的气体合作。检查COP的变化与循环的低温(t {sub} l)。据了解,性能系数小于经典周期的系数。进行循环的可用性分析。分析了与T {SUB} L的循环效能的变化。结果表明,由于特定热量在恒定压力下的压力依赖性,性能损失的起源是再生器中的额外散热或排斥过程。当瓶子气体用作制冷剂时,可以看出,每个循环的制冷效果可以大于经典爱立信循环的制冷效果。如果Fermi气体用作制冷剂,则每个循环的制冷效果总是低于经典爱立信循环的制冷效果。

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