def Filippov(ws, ks):
    r'''Calculates thermal conductivity of a binary liquid mixture according to
    mixing rules in [2]_ as found in [1]_.

    .. math::
        \lambda_m = w_1 \lambda_1 + w_2\lambda_2
        - 0.72 w_1 w_2(\lambda_2-\lambda_1)

    Parameters
    ----------
    ws : float
        Mass fractions of components
    ks : float
        Liquid thermal conductivites of all components, [W/m/K]

    Returns
    -------
    kl : float
        Thermal conductivity of liquid mixture, [W/m/K]

    Notes
    -----
    This equation is entirely dimensionless; all dimensions cancel.
    The original source has not been reviewed.
    Only useful for binary mixtures.

    Examples
    --------
    >>> Filippov([0.258, 0.742], [0.1692, 0.1528])
    0.15929167628799998

    References
    ----------
    .. [1] Reid, Robert C.; Prausnitz, John M.; Poling, Bruce E. The
       Properties of Gases and Liquids. McGraw-Hill Companies, 1987.
    .. [2] Filippov, L. P.: Vest. Mosk. Univ., Ser. Fiz. Mat. Estestv. Nauk,
       (8I0E): 67-69A955); Chem. Abstr., 50: 8276 A956).
       Filippov, L. P., and N. S. Novoselova: Vestn. Mosk. Univ., Ser. F
       iz. Mat. Estestv.Nauk, CI0B): 37-40A955); Chem. Abstr., 49: 11366 A955).
    '''
    if not none_and_length_check([ks, ws], 2):  # check same-length inputs
        raise Exception('Function inputs are incorrect format')
    return ws[0]*ks[0] + ws[1]*ks[1] - 0.72*ws[0]*ws[1]*(ks[1] - ks[0])
def Filippov(ws, ks):
    r'''Calculates thermal conductivity of a binary liquid mixture according to
    mixing rules in [2]_ as found in [1]_.

    .. math::
        \lambda_m = w_1 \lambda_1 + w_2\lambda_2
        - 0.72 w_1 w_2(\lambda_2-\lambda_1)

    Parameters
    ----------
    ws : float
        Mass fractions of components
    ks : float
        Liquid thermal conductivites of all components, [W/m/K]

    Returns
    -------
    kl : float
        Thermal conductivity of liquid mixture, [W/m/K]

    Notes
    -----
    This equation is entirely dimensionless; all dimensions cancel.
    The original source has not been reviewed.
    Only useful for binary mixtures.

    Examples
    --------
    >>> Filippov([0.258, 0.742], [0.1692, 0.1528])
    0.15929167628799998

    References
    ----------
    .. [1] Reid, Robert C.; Prausnitz, John M.; Poling, Bruce E. The
       Properties of Gases and Liquids. McGraw-Hill Companies, 1987.
    .. [2] Filippov, L. P.: Vest. Mosk. Univ., Ser. Fiz. Mat. Estestv. Nauk,
       (8I0E): 67-69A955); Chem. Abstr., 50: 8276 A956).
       Filippov, L. P., and N. S. Novoselova: Vestn. Mosk. Univ., Ser. F
       iz. Mat. Estestv.Nauk, CI0B): 37-40A955); Chem. Abstr., 49: 11366 A955).
    '''
    if not none_and_length_check([ks, ws], 2):  # check same-length inputs
        raise Exception('Function inputs are incorrect format')
    return ws[0]*ks[0] + ws[1]*ks[1] - 0.72*ws[0]*ws[1]*(ks[1] - ks[0])
def Filippov ( ws , ks ) : if not none_and_length_check ( [ ks , ws ] , 2 ) : # check same-length inputs raise Exception ( 'Function inputs are incorrect format' ) return ws [ 0 ] * ks [ 0 ] + ws [ 1 ] * ks [ 1 ] - 0.72 * ws [ 0 ] * ws [ 1 ] * ( ks [ 1 ] - ks [ 0 ] )
r'''Calculates thermal conductivity of a binary liquid mixture according to
    mixing rules in [2]_ as found in [1]_.

    .. math::
        \lambda_m = w_1 \lambda_1 + w_2\lambda_2
        - 0.72 w_1 w_2(\lambda_2-\lambda_1)

    Parameters
    ----------
    ws : float
        Mass fractions of components
    ks : float
        Liquid thermal conductivites of all components, [W/m/K]

    Returns
    -------
    kl : float
        Thermal conductivity of liquid mixture, [W/m/K]

    Notes
    -----
    This equation is entirely dimensionless; all dimensions cancel.
    The original source has not been reviewed.
    Only useful for binary mixtures.

    Examples
    --------
    >>> Filippov([0.258, 0.742], [0.1692, 0.1528])
    0.15929167628799998

    References
    ----------
    .. [1] Reid, Robert C.; Prausnitz, John M.; Poling, Bruce E. The
       Properties of Gases and Liquids. McGraw-Hill Companies, 1987.
    .. [2] Filippov, L. P.: Vest. Mosk. Univ., Ser. Fiz. Mat. Estestv. Nauk,
       (8I0E): 67-69A955); Chem. Abstr., 50: 8276 A956).
       Filippov, L. P., and N. S. Novoselova: Vestn. Mosk. Univ., Ser. F
       iz. Mat. Estestv.Nauk, CI0B): 37-40A955); Chem. Abstr., 49: 11366 A955).
r Calculates thermal conductivity of a binary liquid mixture according to mixing rules in [ 2 ] _ as found in [ 1 ] _ .