Bounds of efficiency at maximum power for linear, superlinear and sublinear irreversible Carnot-like heat engines

Bounds of efficiency at maximum power for linear, superlinear and sublinear irreversible Carnot-like heat engines
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线性、超线性和亚线性不可逆卡诺式热机最大功率下的效率界限

DOI:
10.1209/0295-5075/98/40001
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发表时间:
2011-10
期刊:
EPL
影响因子:
1.8
通讯作者:
Z. C. Tu
Z. C. Tu
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Y. Wang;Z. C. Tu

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基于弱内可逆假设和唯象不可逆热力学,研究了不可逆类卡诺热机的最大功率效率。研究发现,对于工作在最大功率下的热机,弱内可逆假设可以简化为传统的内可逆假设。根据传热率与热力本构关系的不同特点,类卡诺热机可分为线性、超线性和次线性三种类型。证明了卡诺型热机的EMP对于线型在ηC/2和ηC/(2−ηC)之间有界,对于超线性热机在0和ηC/(2−ηC)之间有界,对于次线性热机在ηC/2和ηC之间有界,其中ηC是卡诺效率。
The efficiency at maximum power (EMP) of irreversible Carnot-like heat engines is investigated based on the weak endoreversible assumption and the phenomenologically irreversible thermodynamics. It is found that the weak endoreversible assumption can reduce to the conventional one for the heat engines working at maximum power. Carnot-like heat engines are classified into three types (linear, superlinear, and sublinear) according to different characteristics of constitutive relations between the heat transfer rate and the thermodynamic force. The EMPs of Carnot-like heat engines are proved to be bounded between ηC/2 and ηC/(2−ηC) for the linear type, 0 and ηC/(2−ηC) for the superlinear type, and ηC/2 and ηC for the sublinear type, respectively, where ηC is the Carnot efficiency.
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发表时间: 2008-01-01
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