新型硬球状态方程的研究

A New Equation of State for Hard-Spheres

作者基于硬球模型,重新研究了virial形式的高阶理论状态方程,并给出了新的Pade形式表达式.计算结果表明,当比体积V/V0一定时,状态方程表达式中Pade形式的级数长度与压缩因子的计算精度不成正比.在给定范围内与分子动力学的计算结果吻合得很好,在V/V0=1.50时的计算误差仅为0.12%;而已有文献报道类似的比较结果其误差高达0.56%,这就说明利用新型状态方程在理论计算和工程热力学应用等方面,具有更大的实用价值.

Based on the hard-spheres model, the new style virial equation of state for hard-spheres with higher order is derived again, and the new pade style expression is also presented. The calculated results indicate that the length of pade style power series is not directly proportional to the calculated precision at the definite V/V0. The results are in good agreement with the molecular dynamics data in concerned range, the error of this work is only 0.12% at V/V0=1.50,but that of early work is up to 0.56%. The great contribution from the new equation to the thermodynamic theory and engineering application will be expected.