CAJ | 학술논문

在低耗散卡诺热机模型的基础上，进一步研究热漏对低耗散卡诺热机最大功率下效率及其边界的影响。在类卡诺热机循环条件下，考虑等温膨胀与等温压缩过程中高低温热源之间存在热漏，推导出存在热漏时低耗散卡诺热机最大功率下效率的表达式，并且在对称情况下与经典CA(Curzon-Ahlborn)效率进行比较。发现当不存在热漏时，低耗散卡诺热机最大功率下的效率等于CA效率。当存在热漏时，低耗散卡诺热机最大功率下的效率低于CA效率，并随着热漏的增加而降低。在非对称下得到存在热漏时低耗散卡诺热机最大功率下效率的上下限和可观测范围，并与不同种类实际的热机效率进行比较，结果表明考虑热漏时低耗散卡诺热机的效率及其边界更加符合实际热机的观测值。
재저모산잡낙열궤모형적기출상，진일보연구열루대저모산잡낙열궤최대공솔하효솔급기변계적영향。재류잡낙열궤순배조건하，고필등온팽창여등온압축과정중고저온열원지간존재열루，추도출존재열루시저모산잡낙열궤최대공솔하효솔적표체식，병차재대칭정황하여경전CA(Curzon-Ahlborn)효솔진행비교。발현당불존재열루시，저모산잡낙열궤최대공솔하적효솔등우CA효솔。당존재열루시，저모산잡낙열궤최대공솔하적효솔저우CA효솔，병수착열루적증가이강저。재비대칭하득도존재열루시저모산잡낙열궤최대공솔하효솔적상하한화가관측범위，병여불동충류실제적열궤효솔진행비교，결과표명고필열루시저모산잡낙열궤적효솔급기변계경가부합실제열궤적관측치。
Based on the low-dissipation Carnot heat engine model, the influence of heat leak on the efficiency at maximum power and its bounds of low-dissipation Carnot heat engine are further discussed. Under the condition of Carnot-like heat engine cycle, the expressions for the efficiency at maximum power of the quantum dot engine are derived in the presence of heat leak between hot reservoir and cold reservoir of the isothermal expansion and the isothermal compression process, and compared with the classical CA efficiency in the symmetric case. It is found that, when there is no heat leak, the efficiency at maximum power of the low-dissipation Carnot heat engine is equal to the CA efficiency. In the presence of heat leak, the efficiency at maximum power of the low-dissipation Carnot heat engine is lower than the CA efficiency, and decreases with the increases of heat leak. In the case of asymmetric, the upper bound and lower bound of efficiency at maximum power are obtained, and compared with different kinds of actual engine efficiency. The results show that the efficiency at maximum power and its bounds in correspondence with the observed performance of real heat engines in the presence of heat leak.