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arXiv 1306.1012physics.flu-dyn
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高压下液体中的声速

Speed of sound in liquids at high pressure

Kielczynski P., Szalewski M., Piekarski S

摘要:

本文建立了绝热条件下声速的新的一般公式(S = const)。声速取决于质量密度ρ(p,T)和每单位质量的内能E(p,T),两者都表示为压力p和温度T的函数。该公式已与实验数据的例子三油酸甘油酯的压力范围高达450 MPa。对于实验数据,提出了唯象近似公式。这些公式有两个版本,具体取决于参数2和3。这两个版本都是在声速的新表达式(公式8)的帮助下开发的。这两条近似曲线的显式形式可以被视为纯唯象建模的结果。然而,在本文中,这些新的解析表达式已通过应用附录中描述的启发式程序获得。

英文摘要:

In this paper, a new general formula for the sound speed in adiabatic conditions ( S = const ) has been established. The sound speed depends on the mass density ρ (p,T ) and the internal energy per unit mass E(p,T ), both expressed as functions of the pressure p and the temperature T . This formula has been compared with experimental data on the example of triolein over the pressure range up to 450 MPa. For experimental data, phenomenological approximate formulas have been proposed. Those formulas have two versions, depending on the 2 and 3 parameters. Both versions have been developed with the help of the new expression (Eq.8) for the sound speed. The explicit form of both approximate curves can be regarded as the result of purely phenomenological modeling. However, in this paper, these new analytical expressions have been obtained by applying the heuristic procedure described in Appendix.

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