论文标题

基于最佳实验设计的热力学特性的测量系列计划

Planning of Measurement Series for Thermodynamic Properties based on Optimal Experimental Design

论文作者

Frotscher, Ophelia, Herzog, Roland, Richter, Markus

论文摘要

对于可以在短时间内响应科学和行业需求的模型开发中,非常需要减少准确热力学特性测量所需的时间。在这里,我们证明了最佳实验设计在热力学特性的测量中的应用。使用已发表的$(P,ρ,T)$ - 乙二醇和丙烯乙烯乙二醇的测量值的架子型方程的拟合来说明该技术。分析表明,使用$(p,t)$ - 沿五个最有用的等温线产生的相对密度误差模型的固定点拟合,可与使用所有研究的等温线\ ie \ ie,八个或九个使用数据相当的相对密度误差模型。还认为,在测量序列之前的最佳等温线计算可以在没有额外的实验努力下进一步提高精度。

Decreasing the time required for accurate thermodynamic property measurements is extremely desirable for model development that can respond to the needs of science and industry within a short time frame. Here, we demonstrate the application of optimal experimental design to measurements of thermodynamic properties. The technique is exemplified using the fitting of a Schilling-type equation from published $(p, ρ, T)$-measurements of ethylene gylcol and propylene gylcol. The analysis shows that a fixed-exponent fit using $(p,T)$-measurements along the five most informative isotherms produces models of relative density errors comparable to those obtained using the data along all investigated isotherms, \ie, eight or nine. It is also argued that a calculation of optimal isotherms prior to the measurement series can further increase the precision at no additional experimental effort.

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