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Adiabatic perfect fluid

Density, ρ\rho [kg/m3^3]

ρ=ρ0p+Bp0+B1γ\rho = \rho_0 \frac{p + B}{p_0 + B}^{\frac{1}{\gamma}}

Entropy, SS [J/kg/K ]

S=−(p0+B)1γ(p+B)1−1γ−(Pstd+B)nρ0T(1−1γ)S = -(p_0 + B)^\frac{1}{\gamma} \frac{(p + B)^{1 - \frac{1}{\gamma}} - (P_{\std} + B)^n}{\rho_0 T (1 - \frac{1}{\gamma})}

Compressibility, ψ\psi [s2^2/m2^2]

ψ=ρ0γ(p0+B)p+Bp0+B1γ−1\psi = \frac{\rho_0}{\gamma(p_0 + B)} \frac{p + B}{p_0 + B}^{\frac{1}{\gamma} - 1}

Usage​

The adiabaticPerfectFluid equation of state is specified as:

equationOfState
{
    p0          <scalar>;
    rho0        <scalar>;
    gamma       <scalar>;
    B           <scalar>;
}

Where

  • p0 : Reference pressure [Pa]
  • rho0 : Reference density [kg/m3^3]
  • gamma : Isentropic exponent [-]
  • B : Pressure offset for a stiffened gas [Pa]

Further information​

Source code