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A Nonparametric Scaling Equation of State for Fluids with Inclusion of Asymmetry

机译:包含非对称性的流体的非参数比例缩放状态方程

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摘要

A nonparametric scaling equation of state in the explicit form is proposed for real fluids with inclusion of their asymmetry. This equation in reduced variables of the density (rho - rho(c))/rho(c) and temperature (T - T-c)/T-c adequately describes the P-rho-T data in the vicinity of the critical points of fluids. The approximation of the P-rho-T data for He-4, SF6, and isobutane in the critical region by the new equation has demonstrated that it is quite sufficient to take into account the asymmetry of the density in the terms of the equation of state. The calculation of the asymmetry of the boundary curve from constants of the asymmetric equation of state leads to close agreement with the "law of rectilinear diameter" for experimental curves of saturation in these fluids not only in the asymptotic region but also in the region located sufficiently far from the critical point of the density (vertical bar(rho - rho(c))/rho(c) vertical bar < 0.5). The proposed asymmetric equation of state describes the P-rho-T data in the critical region (vertical bar(T - T-c/T-c vertical bar, vertical bar(rho - rho(c))/rho(c)vertical bar < 0.1) with an error that does not exceed the experimental error. Explicit expressions are also derived for the entropy and the heat capacity with allowance made for the asymmetry of the density in their calculation with the use of constants of the equation of state. The new equation of state retains the advantages of the simplicity in the application to the description of the P-rho-T data and the heat capacity in contrast to the parametric equations of state within the Schofield linear model.
机译:针对包含不对称性的真实流体,提出了一种显式形式的非参数缩放状态方程。密度(rho-rho(c))/ rho(c)和温度(T-T-c)/ T-c的简化变量中的该方程式充分描述了流体临界点附近的P-rho-T数据。通过新方程式对临界区中的He-4,SF6和异丁烷的P-rho-T数据进行了近似,证明了在方程式中考虑密度的不对称性已经足够了。州。根据不对称状态方程的常数来计算边界曲线的不对称性,不仅使这些流体在渐近区域内而且在充分位于该区域内的饱和度实验曲线上,也与“直线直径定律”密切相关。远离密度的临界点(垂直线(rho-rho(c))/ rho(c)垂直线<0.5)。拟议的非对称状态方程描述了临界区域中的P-rho-T数据(垂直条(T-Tc / Tc垂直条,垂直条(rho-rho(c))/ rho(c)垂直条<0.1)误差不超过实验误差。还使用状态方程的常数在计算密度和不对称性时导出了熵和热容量的明确表达式。与Schofield线性模型中的状态参数方程式相比,状态保留了在应用中描述P-rho-T数据和热容的简便性。

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