理想玻色气体布雷顿循环的性能分析

利用理想玻色气体的压强和粒子数密度表达式,导出了理想玻色气体的态方程.根据态方程和玻色气体的热力学性质,获得以理想玻色气体为工质的布雷顿热机效率和输出功的普遍表达式,分析气体的量子简并性对布雷顿热机性能的影响.结果表明,以理想玻色气体为工质的布雷顿热机的输出功比以理想气体为工质的大,而热机效率不受量子简并性的影响.所得结论可对量子简并条件下工作的布雷顿热机的设计提供理论依据.

The Performance Analysis of a Brayton Cycle of an Ideal Bose Gas

The equation of state for an ideal Bose gas is derived by using the expressions of the pressure and particle number of an ideal Bose gas. Basing on the equation of state and the thermodynamic properties of an ideal Bose gas, one can obtain the general expressions of the efficiency and work output of a Brayton power cycle using an ideal Bose gas as the working substance. The effect of quantum degeneracy on the performance of the cycle under quantum degeneracy conditions is analyzed. It is shown that the work output of a Brayton heat engine working with ideal Bose gases is greater that of a classical Brayton cycle and the quantum degeneracy of the gas does not affect the efficiency of the cycle. The results obtained here may provide theoretical basis for the design of a Brayton cycle working under quantum degeneracy conditions.