玻色气体的量子简并性对不可逆布雷顿制冷循环性能的影响

基于不可逆布雷顿制冷循环模型和理想玻色气体的状态方程,导出以玻色气体为工质的布雷顿制冷循环的输入功、制冷系数、制冷量等重要参数的表示式,由此讨论玻色气体的量子简并性和不可逆绝热过程对循环性能的影响,揭示以玻色气体为工质的不可逆布雷顿制冷循环的一般性能特性,从而导出一些重要结论．进而给出几种特殊情况下循环的性能特性．得到的结果有助于进一步了解经典布雷顿制冷循环和量子布雷顿制冷循环之间的区别和联系．     

理想玻色气体的焦汤系数

应用玻色系统的基本方程，玻色积分的特性以及热力学理论，导得理想玻色气体焦汤系数的解析表达式，详细讨论了低温下玻色气体的定压热容和焦汤系数，阐明了系统的量子本性对焦汤系数的贡献，表明理想玻色气体适用于低温制冷系统。     

量子斯特林制冷机的回热特性

基于理想玻色气体的状态方程 ,分析以理想玻色气体为工质的量子斯特林制冷机具有非理想回热特性 ,导出循环的制冷系数和制冷量的表达式 ,并对结论进行一些有意义的讨论 ,所得结果将对低温气体制冷机的研究提供一些理论依据     

以理想玻色气体为工质的量子Ericsson制冷循环

文中基于理想玻色气体的状态方程 ,分析了以理想玻色气体为工质的量子 Ericsson制冷循环中的回热特征 ,推导出其制冷循环的制冷系数表达式。并在高温和低温条件下对制冷系数进行了讨论。这将对低温气体制冷机的研究提供理论依据。     

CO_2两相流引射循环制冷系统性能的数值模拟

对引射器内部简化热力学模型进行了改进,建立了CO2两相流制冷系统的数学模型。利用MATLAB语言编写程序对该系统性能进行了模拟计算,分析了工况参数及引射比对引射循环系统性能的影响。模拟结果表明:CO2两相流引射循环制冷系统在较低的引射比条件下,就可以实现稳定运行,系统COP对气冷器出口温度的变化比较敏感,同时存在最优高压侧压力使系统COP达到最大;对于不同工况条件,CO2两相流引射循环制冷系统的COP比同工况条件下的传统系统的COP,理论上分别提高了11%～18%。     

低温空气制冷速冻系统性能的实验研究

对使用空气动压轴承的升压式空气制冷速冻系统进行了实验研究,分析了压气机进口压力、散热器冷边风量及回热器对系统性能的影响。实验结果表明:增大压气机进口压力和散热器冷边空气流量均可降低涡轮出口温度,提高系统制冷量;系统COP随着压气机进口压力的升高而增大,但是增大幅度逐渐减少;系统增加回热器后,涡轮出口温度最多可降低约67%,系统制冷量和COP最多约可增加45.5%,其中涡轮出口温度最低约可降至-50℃,系统COP最大可达0.7左右。     

Performance characteristic of a Stirling refrigeration cycle in micro/nano scale

The aim of the paper is to present the performance characteristics of a Stirling refrigeration cycle in micro/nano scale, in which the working substance of cycle is an ideal Maxwellian gas. Due to the quantum boundary effect on the gas particles confined in the finite domain, the cycle no longer possesses the condition of perfect regeneration. The inherent regenerative losses, the refrigeration heat and coefficient of performance (COP) of the cycle are derived. It is found that, for the micro/nano scaled Stirling refrigeration cycle devices, the refrigeration heat and COP of cycle all depend on the surface area of the system (boundary of cycle) besides the temperature of the heat reservoirs, the volume of system and other parameters, while for the macro scaled refrigeration cycle devices, the refrigeration heat and COP of cycle are independent of the surface area of the system. Variations of the refrigeration heat ratio r_R and the COP ratio r_ε with the temperature ratio τ and volume ratio r_V for the different surface area ratio r_A are examined, which reveals the influence of the boundary of cycle on the performance of a micro/nano scaled Stirling refrigeration cycle. The results are useful for designing of a micro/nano scaled Stirling cycle device and may conduce to confirming experimentally the quantum boundary effect in the micro/nano scaled devices.     

小型节能风冷绝热吸收制冷循环研究

电压缩空调器广泛使用所带来电力供应问题及其所用工质对环境潜在影响已成为推动燃气风冷空调器发展的强大动力。为解决传统风冷管内降膜吸收燃气空调所存在的高温、高压、高浓度、结晶、腐蚀、效率偏低等问题,提出一种回收冷剂水余热、将吸收传质过程与溶液冷却传热过程分阶段进行的风冷绝热吸收制冷循环,分析室外温度、蒸发温度和高发流量比等对循环特性影响。研究结果表明,该循环是切实可行的,既节能,又能保证环境温度较高时系统稳定运行和较高能效比。     

The performance analysis of a micro-/nanoscaled quantum heat engine

A new model of micro-/nanoscaled heat engines consisting of two thin long tubes with the same length but different sizes of cross section, which are filled up with ideal quantum gases and operated between two heat reservoirs, is put forward. The working fluid of the heat engine cycle goes through four processes, which include two isothermal processes and two isobaric processes with constant longitudinal pressure. General expressions for the power output and efficiency of the cycle are derived, based on the thermodynamic properties of confined ideal quantum gases. The influence of the size effect on the power output and efficiency is discussed. The differences between the heat engines working with the ideal Bose gas and Fermi gas are revealed. The performance of the heat engines operating at weak gas degeneracy and high temperatures is further analyzed. The results obtained are more general and significant than those in the current literature.     

供水温度对CO2空气源热泵系统性能的影响

为探究热泵供水温度对CO2空气源热泵系统性能的影响,保持室外环境温度15.5℃不变,调节热泵供水温度,测试冷却水流量、气冷器出水温度、压缩机排气温度、气冷器CO2进出口温差、压缩机排气压力、压缩机耗功量、系统制热量、气冷器热交换完善度、系统COP的变化情况。结果表明:供水温度由45℃升至85℃,气冷器出水温度、压缩机排气温度、气冷器CO2进出口温差、压缩机排气压力随之增加,冷却水流量随之减小。系统制热量增加了7.3%、气冷器热交换完善度下降了20.0%、系统COP下降了35%、压缩机功耗增加了65.1%。     

CO_2跨临界压缩式制冷循环理论分析

环保工质CO_2作为制冷剂用于空调领域再次受到广泛关注。文中对CO_2跨临界循环进行了热力学理论分析,分析结果表明:循环系统存在最优高压压力,使得其COP达到最大值;蒸发温度的升高或者冷却压力的降低都能提高COP,但都会降低效率;实际运行系统中,应该尽可能提高蒸发温度或者降低气体冷却器的出口温度。     

A path integral centroid molecular dynamics method for Bose and Fermi statistics

We propose a path integral centroid molecular dynamics (CMD) method extended to Bose and Fermi statistics. An extended method of path integral molecular dynamics (PIMD) for such statistics is also developed as a technique of calculations of static properties. Bose PIMD and CMD simulations have been performed for bulk liquid ⁴He and ideal Bose gas, respectively. The remnant of λ transition is observed for bulk liquid ⁴He, while the effect of Bose statistics on the centroid dynamics spanning several nanoseconds is observed for ideal Bose gas.     

耦合高压斯特林制冷效应的复合磁制冷循环的数值模拟

本文借助计算流体力学软件, 对复合磁制冷机进行整机数值模拟分析. 以复合磁制冷机为建模原形, 分别计算了主动式磁制冷循环以及复合磁制冷循环. 利用模型计算分析了利用系数, 工作频率对主动式磁制冷的制冷效果影响, 同时模拟计算了不同相位角、不同频率下的复合磁制冷机的制冷效果, 计算得到适合复合磁制冷循环的最佳匹配相位角. 模拟计算结果对后续实验台的设计搭建有很好的指导作用.     

三级自动复叠制冷中制冷剂配比计算方法研究

自动复叠制冷循环有其特殊的优点,但是混合制冷剂的配比选取仍需进一步研究。通过搭建一个三级自动复叠制冷循环实验台,并采用常规复叠制冷循环的方法,粗定制冷剂配比,再使用CSD方程微调,实验数据证明该方法的结果比较合理。     

Bose–Einstein condensation in the three-sphere and in the infinite slab: Analytical results

We study the finite size effects on Bose–Einstein condensation (BEC) of an ideal non-relativistic Bose gas in the three-sphere (spatial section of the Einstein universe) and in a partially finite box which is infinite in two of the spatial directions (infinite slab). Using the framework of grand-canonical statistics, we consider the number of particles, the condensate fraction and the specific heat. After obtaining asymptotic expansions for large system size, which are valid throughout the BEC regime, we describe analytically how the thermodynamic limit behaviour is approached. In particular, in the critical region of the BEC transition, we express the chemical potential and the specific heat as simple explicit functions of the temperature, highlighting the effects of finite size. These effects are seen to be different for the two different geometries. We also consider the Bose gas in a one-dimensional box, a system which does not possess BEC in the sense of a phase transition even in the infinite volume limit.     

Bose-Einstein condensation and Casimir effect of trapped ideal Bose gas in between two slabs

We study the Bose-Einstein condensation for a 3-d system of ideal Bose gas which is harmonically trapped along two perpendicular directions and is confined in between two slabs along the other perpendicular direction. We calculate the Casimir force between the two slabs for this system of trapped Bose gas. At finite temperatures this force for thermalized photons in between two plates has a classical expression which is independent of ħ. At finite temperatures the Casimir force for our system depends on ħ. For the calculation of Casimir force we consider only the Dirichlet boundary condition. We show that below condensation temperature (T_c) the Casimir force for this non-interacting system decreases with temperature (T) and at , it is independent of temperature. We also discuss the Casimir effect on 3-d highly anisotropic harmonically trapped ideal Bose gas.     

Parametric optimum analysis of an irreversible Ericsson cryogenic refrigeration cycle working with an ideal Fermi gas

An irreversible model of an Ericsson cryogenic refrigeration cycle working with an ideal Fermi gas is established, which is composed of two isothermal and two isobaric processes. The influence of both the quantum degeneracy and the finite-rate heat transfer between the working fluid and the heat reservoirs on the performance of the cycle is investigated, based on the theory of statistical mechanics and thermodynamic properties of an ideal Fermi gas. The inherent regeneration losses of the cycle are analyzed. Expressions for several important performance parameters such as the coefficient of performance, cooling rate and power input are derived. By using numerical solutions, the cooling rate of the cycle is optimized for a given power input. The maximum cooling rate and the corresponding parameters are calculated numerically. The optimal regions of the coefficient of performance and power input are determined. Especially, the optimal performance of the cycle in the strong and weak gas degeneracy cases and the high temperature limit is discussed in detail. The analytic expressions of some optimized parameters are derived. Some optimum criteria are given. The distinctions and connections between the Ericsson refrigeration cycles working with the Fermi and classical gases are revealed.      

The Equilibrium States for a Model with Two Kinds of Bose Condensation

We study the equilibrium Gibbs states for a Boson gas model, defined by Bru and Zagrebnov, which has two phase transitions of the Bose condensation type. The two phase transitions correspond to two distinct mechanisms by which these condensations can occur. The first (non-conventional) Bose condensation is mediated by a zero-mode interaction term in the Hamiltonian. The second is a transition due to saturation quite similar to the conventional Bose–Einstein (BE) condensation in the ideal Bose gas. Due to repulsive interaction in non-zero modes the model manifests a generalized type III; i.e., non-extensive BE condensation. Our main result is that, as in the ideal Bose gas, the conventional condensation is accompanied by a loss of strong equivalence of the canonical and grand canonical ensembles whereas the non-conventional one, due to the interaction, does not break the equivalence of ensembles, at least not on the level of the gauge invariant states. It is also interesting to note that the type of (generalized) condensate, I, II, or III (in the terminology of van den Berg, Lewis, and Pulé), has no effect on the equivalence of ensembles. These results are proved by computing the generating functional of the cyclic representation of the Canonical Commutation Relation (CCR) for the corresponding equilibrium Gibbs states.     

Observations of density fluctuations in an elongated Bose gas: ideal gas and quasicondensate regimes

We report in situ measurements of density fluctuations in a quasi-one-dimensional 87Rb Bose gas at thermal equilibrium in an elongated harmonic trap. We observe an excess of fluctuations compared to the shot-noise level expected for uncorrelated atoms. At low atomic density, the measured excess is in good agreement with the expected "bunching" for an ideal Bose gas. At high density, the measured fluctuations are strongly reduced compared to the ideal gas case. We attribute this reduction to repulsive interatomic interactions. The data are compared with a calculation for an interacting Bose gas in the quasicondensate regime.     

Oscillating Casimir force between two slabs in a Fermi sea

The Casimir effect for two parallel slabs immersed in an ideal Fermi sea is investigated at both zero and nonzero temperatures. It is found that the Casimir effect in a Fermi gas is distinctly different from that in an electromagnetic field or a massive Bose gas. In contrast to the familiar result that the Casimir force decreases monotonically with the increase of the separation L between two slabs in an electromagnetic field and a massive Bose gas, the Casimir force in a Fermi gas oscillates as a function of L. The Casimir force can be either attractive or repulsive, depending sensitively on the magnitude of L. In addition, it is found that the amplitude of the Casimir force in a Fermi gas decreases with the increase of the temperature, which also is contrary to the case in a Bose gas, since the bosonic Casimir force increases linearly with the increase of the temperature in the region T < T_c, where T_c is the critical temperature of the Bose-Einstein condensation.