量子卡诺制冷循环性能研究
摘要
建立了以无限深势阱中的极端相对论粒子为工质的不可逆量子卡诺制冷循环模型,粒子在各能级上的占有几率由吉布斯分布函数决定。循环由两个等温过程与两个绝热过程构成。考虑高低温热源间的热漏,导出了性能系数与制冷率的解析式。
引文
[1]Chen L G,Wu C,Sun F R.Finite time thermodynamic optimization or entropy generation minimization of energy systems[J].Journal of Non-Equilibrium Thermodynamics,1999,24(4):327-359.
[2]Bejan A.Entropy generation minimization:The new thermodynamics of finite-size devices and finite-time processes[J].Journal of Applied Physics,1996,79(3):1191-1218.
[3]Yin Yong,Chen Lingen,Wu Feng.Optimal Power and Efficiency of Quantum Stirling Heat Engines[J].European Physical Journal Plus,2017,132:45.
[4]Wu F,Yang Z C,Chen L G,et al.Work output and efficiency of a reversible quantum Otto cycle[J].Thermal Science,2010,14(4):879-886.
[5]吴锋,汪拓,陈林根,等.量子斯特林热机的输出功和热效率[J].机械工程学报,2014,50(4):150-154.
[6]王建辉,熊双泉,何济洲,等.以一维谐振子势阱中的单粒子为工质的量子热机性能分析[J].物理学报,2012,61(8):080509.
[7]Bender C M,Brody D C,Meister B K.Quantum mechanical Carnot engine[J].Journal of Physics A:Mathematical and General,2000,33(24):4427-4436.
[8]Kosloff R.Quantum thermodynamics:A dynamical viewpoit[J].Entropy,2013,15(6):2100-2128.
[9]Abe S,Lkuyama S.Maximum-power quantum-mechanical Carnot engine[J].Physical Review E,2011,83(4):041121.
[10]Kosloff R.A quantum mechanical open system as a model of a heat engine[J].Journal of Chemical Physics,1984,80(4):1625-1631.
[11]Ac?kkalp E,Caner N.Application of exergetic sustainable index to the quantum irreversible Diesel refrigerator cycles for 1D box system[J].The European Physical Journal Plus,2015,130:73.
[12]吴锋.斯特林机的有限时间热力学研究[D].武汉:海军工程学院,1998.
[13]吴锋,陈林根,孙丰瑞,等.斯特林机的有限时间热力学优化[M].北京:化学工业出版社,2008.
[14]吴锋,孙丰瑞,陈林根.活塞式量子Stirling发动机最优性能[J].电站系统工程,1996,12(1):41-43.
[15]吴锋,孙丰瑞.不可逆量子斯特林制冷机的最大制冷率[J].应用科学学报,1997,15(2):223-228.
[16]殷勇,吴锋,陈林根.量子斯特林制冷循环性能研究[J].工程热物理学报,2017(10).
[17]Calvo-Hernandez A,Medina A,Roco J M M,et al.Unified optimization criterion for energy converters[J].Physical.Review,2001,E63:037102.
[18]吴锋,陈林根,孙丰瑞.1/2自旋量子卡诺制冷机的最优性能[J].真空与低温,1996,2(1):17-21.
[19]?i?man A,Saygin H.The improvement effect of quantum degeneracy on the work from a Carnot cycle[J].Appl.Energy,2001,68(4):367-376.
[2]Bejan A.Entropy generation minimization:The new thermodynamics of finite-size devices and finite-time processes[J].Journal of Applied Physics,1996,79(3):1191-1218.
[3]Yin Yong,Chen Lingen,Wu Feng.Optimal Power and Efficiency of Quantum Stirling Heat Engines[J].European Physical Journal Plus,2017,132:45.
[4]Wu F,Yang Z C,Chen L G,et al.Work output and efficiency of a reversible quantum Otto cycle[J].Thermal Science,2010,14(4):879-886.
[5]吴锋,汪拓,陈林根,等.量子斯特林热机的输出功和热效率[J].机械工程学报,2014,50(4):150-154.
[6]王建辉,熊双泉,何济洲,等.以一维谐振子势阱中的单粒子为工质的量子热机性能分析[J].物理学报,2012,61(8):080509.
[7]Bender C M,Brody D C,Meister B K.Quantum mechanical Carnot engine[J].Journal of Physics A:Mathematical and General,2000,33(24):4427-4436.
[8]Kosloff R.Quantum thermodynamics:A dynamical viewpoit[J].Entropy,2013,15(6):2100-2128.
[9]Abe S,Lkuyama S.Maximum-power quantum-mechanical Carnot engine[J].Physical Review E,2011,83(4):041121.
[10]Kosloff R.A quantum mechanical open system as a model of a heat engine[J].Journal of Chemical Physics,1984,80(4):1625-1631.
[11]Ac?kkalp E,Caner N.Application of exergetic sustainable index to the quantum irreversible Diesel refrigerator cycles for 1D box system[J].The European Physical Journal Plus,2015,130:73.
[12]吴锋.斯特林机的有限时间热力学研究[D].武汉:海军工程学院,1998.
[13]吴锋,陈林根,孙丰瑞,等.斯特林机的有限时间热力学优化[M].北京:化学工业出版社,2008.
[14]吴锋,孙丰瑞,陈林根.活塞式量子Stirling发动机最优性能[J].电站系统工程,1996,12(1):41-43.
[15]吴锋,孙丰瑞.不可逆量子斯特林制冷机的最大制冷率[J].应用科学学报,1997,15(2):223-228.
[16]殷勇,吴锋,陈林根.量子斯特林制冷循环性能研究[J].工程热物理学报,2017(10).
[17]Calvo-Hernandez A,Medina A,Roco J M M,et al.Unified optimization criterion for energy converters[J].Physical.Review,2001,E63:037102.
[18]吴锋,陈林根,孙丰瑞.1/2自旋量子卡诺制冷机的最优性能[J].真空与低温,1996,2(1):17-21.
[19]?i?man A,Saygin H.The improvement effect of quantum degeneracy on the work from a Carnot cycle[J].Appl.Energy,2001,68(4):367-376.