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基于有限势容高化学势库和无限势容低化学势库间工作的等温内可逆化学机,在循环总时间一定的条件下,应用最优控制理论导出了一类普适传质规律下对应于最大输出功时化学机循环最优构型.特例分析表明传质定律为g∝△μ(△μ为化学势差)时循环最优构型为低化学势侧工质中关键组分的化学势(或浓度)为常数,而工质与有限势容高化学势库间关键组分的化学势(或浓度)均随时间呈非线性变化且化学势之差(浓度之比)为常数的等温内可逆化学机循环;传质定律为g∝△c(△c为浓度差)时循环最优构型与传质定律g∝△μ下循环最优构型存在显著不同;当高化学势库也为无限势容化学势库时,循环最优构型由两个等化学势传质分支和两个等质量流率分支组成,且与具体的传质定律无关.本文的研究对象具有一定的普适性,研究结果对于实际化学机的优化设计与最优运行具有一定参考价值.
Based on the isothermal endoreversible chemical machine with limited potential and high chemical potential and the work with infinite potential and low chemical potential, under the condition of constant total circulation time, a class of generalized mass transfer laws At the maximum output work, the optimal configuration of the chemical cycle is shown. The special case analysis shows that when the mass transfer law is gαΔμ (△ μ is the chemical potential difference), the optimal configuration of the cycle is the key component in the low- The chemical potential (or concentration) is constant, and the chemical potential (or concentration) of the key components between the working fluid and the finite potential chemical potential pool changes non-linearly with time and the chemical potential difference (concentration ratio) The isotherm of the endothermic chemical cycle; mass transfer law gα △ c (△ c concentration difference), the optimal configuration of the cycle and the mass transfer law gα △ μ under the optimal configuration of the cycle there is a significant difference; when the high chemistry When the potential reservoir is also an infinite potential chemical potential reservoir, the optimal configuration of the circulation consists of two mass-chemical potential mass transfer branches and two mass-flow rate branches, and has nothing to do with the specific mass transfer law.The research object of this paper has A certain degree of universality, the research results for the optimal design and optimal operation of the actual chemical machine Has a certain reference value.