List of symbols
Symbol | Name of the symbol | Unit |
---|---|---|
$A$ | function $ A $ | $\mathrm{ }$ |
$B$ | function $ B $ | $\mathrm{ }$ |
$C$ | function $ C $ | $\mathrm{ }$ |
$I$ | exponent $ I $ | $\mathrm{ }$ |
$J$ | exponent $ J $ | $\mathrm{ }$ |
$J^o$ | exponent $ J^o $ | $\mathrm{ }$ |
$P_{SV}$ | saturated vapor pressure | $\mathrm{Pa}$ |
$R$ | specific gas constant of ordinary water | $\mathrm{J\cdot kg^{-1}\cdot K^{-1}}$ |
$T$ | the water temperature | $\mathrm{°C}$ |
$T^*$ | temperature reducing quantity | $\mathrm{K}$ |
$\text{Region}$ | region | $\mathrm{ }$ |
$c_p$ | specific isobaric heat capacity | $\mathrm{J\cdot kg^{-1}\cdot K^{-1}}$ |
$c_ν$ | specific isochoric heat capacity | $\mathrm{J\cdot kg^{-1}\cdot K^{-1}}$ |
$h$ | specific enthalpy | $\mathrm{J\cdot kg^{-1}}$ |
$n$ | coefficient $ n $ | $\mathrm{ }$ |
$n^o$ | coefficient $ n^o $ | $\mathrm{ }$ |
$p$ | the water pressure | $\mathrm{Pa}$ |
$p^*$ | pressure reducing quantity | $\mathrm{Pa}$ |
$s$ | specific entropy | $\mathrm{J\cdot kg^{-1}\cdot K^{-1}}$ |
$u$ | specific internal energy | $\mathrm{J\cdot kg^{-1}}$ |
$w$ | speed of sound | $\mathrm{m\cdot s^{-1}}$ |
$α_p$ | relative pressure coefficient | $\mathrm{K^{-1}}$ |
$α_ν$ | isobaric cubic expansion coefficient | $\mathrm{K^{-1}}$ |
$β_p$ | isothermal stress coefficient | $\mathrm{kg\cdot m^{-3}}$ |
$γ$ | dimensionless Gibbs free energy | $\mathrm{ }$ |
$γ^o$ | ideal-gas part | $\mathrm{ }$ |
$γ^o_{ππ}$ | second partial derivative of $ γ^o $ with respect to $ π $ | $\mathrm{ }$ |
$γ^o_{πτ}$ | cross derivative of $ γ^o $ with respect to $ π $ and temperature $ τ $ | $\mathrm{ }$ |
$γ^o_{ττ}$ | second partial derivative of $ γ^o $ with respect to $ τ $ | $\mathrm{ }$ |
$γ^o_π$ | derivative of $ γ^o $ with respect to the dimensionless pressure $ π $ | $\mathrm{ }$ |
$γ^o_τ$ | partial derivative of $ γ^o $ with respect to $ τ $ | $\mathrm{ }$ |
$γ^r$ | residual part | $\mathrm{ }$ |
$γ^r_{ππ}$ | second partial derivative of $ γ^r $ with respect to $ π $ | $\mathrm{ }$ |
$γ^r_{πτ}$ | cross derivative of $ γ^r $ with respect to $ π $ and temperature $ τ $ | $\mathrm{ }$ |
$γ^r_{ττ}$ | second partial derivative of $ γ^r $ with respect to $ τ $ | $\mathrm{ }$ |
$γ^r_π$ | derivative of $ γ^r $ with respect to the dimensionless pressure $ π $ | $\mathrm{ }$ |
$γ^r_τ$ | partial derivative of $ γ^r $ with respect to $ τ $ | $\mathrm{ }$ |
$γ_{ππ}$ | second partial derivative of $ γ $ with respect to $ π $ | $\mathrm{ }$ |
$γ_{πτ}$ | cross derivative of $ γ $ with respect to $ π $ and temperature $ τ $ | $\mathrm{ }$ |
$γ_{ττ}$ | second partial derivative of $ γ $ with respect to $ τ $ | $\mathrm{ }$ |
$γ_π$ | derivative of $ γ $ with respect to the dimensionless pressure $ π $ | $\mathrm{ }$ |
$γ_τ$ | partial derivative of $ γ $ with respect to $ τ $ | $\mathrm{ }$ |
$δ$ | reduced density | $\mathrm{ }$ |
$θ$ | reduced temperature | $\mathrm{ }$ |
$θ$ | transformed temperature | $\mathrm{ }$ |
$κ_T$ | isothermal compressibility | $\mathrm{Pa^{-1}}$ |
$ν$ | specific volume | $\mathrm{m^3\cdot kg^{-1}}$ |
$π$ | reduced pressure | $\mathrm{ }$ |
$ρ$ | mass density | $\mathrm{kg\cdot m^{-3}}$ |
$ρ^*$ | mass density reducing quantity | $\mathrm{kg\cdot m^{-3}}$ |
$τ$ | inverse reduced temperature | $\mathrm{ }$ |
$φ$ | dimensionless Helmholtz free energy | $\mathrm{ }$ |
$φ_{δδ}$ | second partial derivative of $ φ $ with respect to $ δ $ | $\mathrm{ }$ |
$φ_{δτ}$ | cross derivative of $ φ $ with respect to $ δ $ and temperature $ τ $ | $\mathrm{ }$ |
$φ_{ττ}$ | second partial derivative of $ φ $ with respect to $ τ $ | $\mathrm{ }$ |
$φ_δ$ | derivative of $ φ $ with respect to the dimensionless density $ δ $ | $\mathrm{ }$ |
$φ_τ$ | partial derivative of $ φ $ with respect to $ τ $ | $\mathrm{ }$ |