| 实际气体的幂律状态方程 |
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| 引用本文： | 陈文,梁英杰.实际气体的幂律状态方程[J].应用数学和力学,2017,38(2):200-205. |
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| 作者姓名： | 陈文 梁英杰 |
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| 作者单位： | 水文水资源与水利工程科学国家重点实验室(河海大学), 南京 210098;河海大学 力学与材料学院, 南京 211100 |
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| 基金项目： | 111引智计划（B12032）；中央高校基本科研业务费（2013B15020056） |
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| 摘 要： | 为克服Onnes(昂内斯)气体状态方程参数多的缺点， 提出了描述实际气体的幂律状态方程.该模型仅包含两个参数，其中幂律函数的阶数可以为任意实数，刻画了实际气体偏离理想气体的程度.满足幂律状态方程的实际气体称为幂律气体.应用于描述氮气（N2）和四氟甲烷（CF4）两种实际气体的研究表明，与Onnes气体状态方程相比，幂律气体状态方程可以用较少的参数，准确地描述气体状态方程中压强和体积的幂律关系.此外，温度越低，幂律函数的阶数越小，反映了气体的实际状态越偏离理想气体.
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| 关 键 词： | 实际气体 幂律状态方程 位力系数 Onnes气体状态方程 |
| 收稿时间： | 2016-05-06 |
A Power Law Equation of State for Actual Gases |
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| Institution: | State Key Laboratory of Hydrology Water Resources and Hydraulic Engineering(Hohai University), Nanjing 210098, P.R.China;College of Mechanics and Materials, Hohai University, Nanjing 211100, P.R.China |
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| Abstract: | A power law equation of state for actual gases was proposed with fewer parameters compared with the Onnes equation of state. The new model requires only two parameters, of which the order of the power function characterizes the deviation extent of actual gas from the ideal gas. The gas whose behavior obeys the power law equation of state is called the power law gas. The power law equation of state was applied to describe the behaviors of nitrogen (N2) and tetrafluoromethane (CF4) gases. Compared with the Onnes equation, the proposed power law equation can accurately capture the power law relation between the gas pressure and volume in a simpler fashion with fewer parameters. The results show that the power law order tends to be smaller under a lower temperature, reflecting a larger deviation of the actual gas state from that of the ideal gas. |
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