大学物理 ›› 2023, Vol. 42 ›› Issue (8): 32-.doi: 10.16854/j.cnki.1000-0712.220361

• 物理.自然.技术.社会 • 上一篇    下一篇

具有非理想气体工质的内可逆Dual循环最优性能

陈茂,戈延林,陈林根,谢志辉,施双双   

  1. 1. 武汉工程大学 热科学与动力研究所,湖北 武汉430205;2. 武汉工程大学 机电工程学院,湖北 武汉430205;
    3. 海军工程大学 动力工程学院,湖北 武汉430033
  • 收稿日期:2022-07-20 修回日期:2022-09-29 出版日期:2023-08-28 发布日期:2023-09-01
  • 通讯作者: 陈林根,E-mail: lingenchen@hotmail.com
  • 作者简介:陈茂(1999—),男,湖北黄冈人,武汉工程大学机电工程学院2021级硕士研究生.
  • 基金资助:
    国家自然科学基金(51779262)资助

Optimal performance of endoreversible Dual cycle with non-ideal gas working fluid

CHEN Mao1,2, GE Yan-lin1,2, CHEN Lin-gen1,2, XIE Zhi-hui3, SHI Shuang-shuang1,2   

  1. 1. Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan, Hubei 430205, China; 
    2. School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan, Hubei 430205, China; 
    3. College of Power Engineering, Naval University of Engineering, Wuhan, Hubei 430033, China
  • Received:2022-07-20 Revised:2022-09-29 Online:2023-08-28 Published:2023-09-01

摘要: 基于有限时间热力学理论和前人建立的内可逆Dual循环模型,本文进一步考虑非理想气体工质比热模型,对循环的性能进行了研究,推导得到了循环功率和效率的基本优化关系,通过数值计算分析了传热损失系数(B)、预胀比(ρ)、单原子气体自由度(d)和循环最大温比(τ)对循环特性的影响,比较了不同比热模型条件下循环的性能差异.结果表明:随着τ和d增加,循环最大功率(Pmax)、最大效率(ηmax)、最大功率时对应的效率(ηPmax)、最大功率和最大效率时对应的压缩比(γP)和(γη)均增加;随着B增加,ηmax、和ηPmax均减小,γη不变;随着ρ增大,Pmax、γP和γη先增大后减小,ηmax和ηPmax增大;比热模型对循环性能不产生定性的影响仅产生定量影响,非理想气体比热模型条件下得到的Pmax、ηmax、ηPmax、γP和γη最小.本文所得结论对实际热机的设计有一定的参考意义.

关键词: Dual循环, 非理想气体, 有限时间热力学, 功率, 效率

Abstract:  Based on the finite time thermodynamic theory and the endoreversible Dual cycle model established in previous literature, this paper further considers the specific heat model of non-ideal gas working fluid, studies the cycle performance, deduces the basic optimization relationship between the cycle power and efficiency, analyzes the effects of heat transfer loss coefficient (B), cut-off ratio (ρ), freedom degree (d) of monatomic gas and the maximum temperature ratio (τ) on the cycle characteristics by numerical calculations, and compares the cycle performance differences under different specific heat models. The results show that, with the increases of τ and d, the maximum power (Pmax), the maximum efficiency (ηmax), the corresponding efficiency (ηPmax) under the maximum power condition, the corresponding compression ratios (γP,γη) under the maximum power and the maximum efficiency conditions will all increase; with the increase of B, ηmax and ηPmax will both decrease, γη will remain unchanged; with the increase of ρ, Pmax, ηmax, γP and γη will first increase and then decrease, the specific heat models have no qualitative influence but only quantitative influence on the cycle performance, the values of Pmax, ηmax, ηPmax, γP and γη under the specific heat model of the non-ideal gas condition are the minimum. The conclusions obtained in this paper have certain reference significance for the design of practical heat engines.

Key words:  Dual cycle, Non-ideal gas, finite time thermodynamics, power, efficiency