Forms of the thermodynamic energy equation for moist air

Forms of the thermodynamic energy equation for moist air
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湿空气热力学能量方程的形式

DOI:
10.1002/qj.3421
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发表时间:
2018
影响因子:
8.9
通讯作者:
Andy White
Andy White
中科院分区:
地球科学3区
文献类型:
--
作者:
A. Staniforth;Andy White

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对于干燥空气、水蒸气和非沉淀液态水的混合物,以自洽的方式推导了热力学能量方程。假设气体成分是理想气体,液态水不可压缩,并且混合物处于热力学平衡。潜能被视为内能的组成部分。获得并对比了各种代数上等价但表面上不同的形式。与早期研究的建议相反,广泛使用的热力学能量方程形式被证明是合理的。它仅忽略了液态水所占据的微小分数体积,但在其他方面是精确的。
The thermodynamic energy equation is derived in a self‐consistent manner for a mixture of dry air, water vapour and non‐precipitating liquid water. Gaseous components are assumed to be ideal gases, liquid water incompressible, and the mixture to be in thermodynamic equilibrium. Latent energy is treated as a component of internal energy. Various algebraically equivalent, but superficially different, forms are obtained and contrasted. Contrary to suggestions of an earlier study, a widely used form of the thermodynamic energy equation is shown to be legitimate. It neglects only the minute fractional volume occupied by liquid water, but is otherwise exact.