本文選題：非同型熱機 + 非線性響應(yīng)��； 參考：《北京師范大學學報(自然科學版)》2016年05期

【摘要】：現(xiàn)有的典型熱機模型均表現(xiàn)出同型性:對于循環(huán)熱機而言,熱機的工質(zhì)與高溫熱庫和低溫熱庫之間的熱交換規(guī)律具有相同的函數(shù)形式;對于自治熱機來說,正向速率流和逆向速率流遵從相同的函數(shù)形式滿足這類條件的熱機被稱為同型熱機.本文提出非同型熱機的概念,著重研究非同型循環(huán)熱機,即熱機的工質(zhì)與高溫熱庫和低溫熱庫之間的熱交換規(guī)律具有不同的函數(shù)形式,并導(dǎo)出這類熱機的非線性響應(yīng)關(guān)系:J_m=LA[1+ΛλA-δ(1+λ~2)/2A]+O(A~3),其中J_m和A分別是熱機的機械流和親合力,L和Λ與一階和二階昂薩格系數(shù)相關(guān),λ和δ分別代表熱機的非對稱度和非同型度.本文導(dǎo)出非同型循環(huán)熱機最大功率對應(yīng)的效率為ηmaxP=ηC/2+η~2/8+2λ(1-Λβξ)+δ(1+λ~2)βξ/16η_C~2+O(η_C~3),其中ηC代表卡諾效率,β是加權(quán)逆溫度,ξ是流過熱機的熱流的特征能量.由此可見,最大功率時熱機取普適效率(ηC/2+η_C~2/8)的充要條件為2λ(1-Λβξ)+δ(1+λ~2)βξ=0.這表明非同型循環(huán)熱機不滿足現(xiàn)有文獻中熱機最大功率對應(yīng)效率存在普適性的充分條件.
[Abstract]:The existing typical heat engine models all show the same type: for the circulating heat engine, the working fluid of the heat engine has the same function form as the heat exchange law between the high temperature heat reservoir and the low temperature heat reservoir, and for the autonomous heat engine, The heat engines with the same function form for the forward rate flow and the reverse rate flow are called the same type heat engine. In this paper, the concept of non-identical heat engine is put forward, and the heat exchange law between the working fluid of the heat engine and the heat storage at high temperature and low temperature has different function forms. The nonlinear response relation of this kind of heat engine is derived. The nonlinear response relation of this kind of heat engine is: [1 A 位 A-未 1 位 2 / 2 A] O + A 3, where JM and A are the mechanical flow and affinity L and A of the heat engine, respectively, which are related to the first and second order Onzag coefficients, and 位 and 未 represent the asymmetrical degree and the non-homogeneity degree of the engine, respectively. In this paper, the efficiency corresponding to the maximum power of non-homogeneous circulating heat engine is 畏 maxP = 畏 C / 2 畏 2 / 8 2 位 1- 尾 尉) 未 1 位 2) 尾 尉 / 16 畏 C 2 O (畏 C 3 O, where 畏 C represents Carnot efficiency, 尾 is weighted inverse temperature, 尉 is the characteristic energy of heat flux of the superheat engine. It can be seen that the necessary and sufficient condition for the heat engine to take the universal efficiency (畏 C / 2 畏 C / 2 / 8) at the maximum power is 2 位 (1- 位 尾 尉) 未 1 位 2) 尾 尉 0. This indicates that the non-identical circulating heat engine does not satisfy the sufficient conditions for the existence of universality of the corresponding efficiency of the maximum power of the heat engine in the existing literature.
【作者單位】： 北京師范大學物理學系;
【基金】：中央高�；究蒲袠I(yè)務(wù)費專項資金資助項目(2015KJJCB01)
【分類號】：TK05

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