polykin.thermo.flash

K_Wilson

K_Wilson(
    T: float, P: float, Tc: float, Pc: float, w: float
) -> float

Estimate the K-value of a component in a mixture using the Wilson approximation.

\[ K = \frac{P_c}{P} \exp \left(5.373 (1 + \omega) \left(1 - \frac{T_c}{T}\right) \right) \]

This specific \(K\)-value correlation was developed as a "shortcut" method for providing initial guesses in flash calculations.

References

• Wilson, G. M. A Modified Redlich-Kwong Equation of State: Application to General Physical Data Calculation. AIChE Natl. Meet., Cleveland, 1969.

PARAMETER	DESCRIPTION
T	Temperature [K]. TYPE: float
P	Pressure [Pa]. TYPE: float
Tc	Critical temperature [K]. TYPE: float
Pc	Critical pressure [Pa]. TYPE: float
w	Acentric factor. TYPE: float

Source code in src/polykin/thermo/flash/vle.py

def K_Wilson(
    T: float,
    P: float,
    Tc: float,
    Pc: float,
    w: float,
) -> float:
    r"""Estimate the K-value of a component in a mixture using the Wilson approximation.

    $$ K = \frac{P_c}{P}
       \exp \left(5.373 (1 + \omega) \left(1 - \frac{T_c}{T}\right) \right) $$

    This specific $K$-value correlation was developed as a "shortcut" method for providing
    initial guesses in flash calculations.

    **References**

    *  Wilson, G. M. A Modified Redlich-Kwong Equation of State: Application to General
       Physical Data Calculation. AIChE Natl. Meet., Cleveland, 1969.

    Parameters
    ----------
    T : float
        Temperature [K].
    P : float
        Pressure [Pa].
    Tc : float
        Critical temperature [K].
    Pc : float
        Critical pressure [Pa].
    w : float
        Acentric factor.
    """
    return PL_Wilson(T, Tc, Pc, w) / P