docs: def Liu_Winterton(m, x, D, rhol, rhog, mul, kl, Cpl, MW, P,  Pc, Te):
      r'''Calculates heat transfer coefficient for film boiling of saturated
      fluid in any orientation of flow. Correlation
      is as developed in [1]_, also reviewed in [2]_ and [3]_.
      
      Excess wall temperature is required to use this correlation.
      
      .. math::
          h_{tp} = \sqrt{ (F\cdot h_l)^2 + (S\cdot h_{nb})^2} 
          
          S = \left( 1+0.055F^{0.1} Re_{L}^{0.16}\right)^{-1}
          
          h_{l} = 0.023 Re_L^{0.8} Pr_l^{0.4} k_l/D
  
          Re_L = \frac{GD}{\mu_l}
          
          F = \left[ 1+ xPr_{l}(\rho_l/\rho_g-1)\right]^{0.35}
          
          h_{nb} = \left(55\Delta Te^{0.67} \frac{P}{P_c}^{(0.12 - 0.2\log_{10}
           R_p)}(-\log_{10} \frac{P}{P_c})^{-0.55} MW^{-0.5}\right)^{1/0.33}
      
      Parameters
      ----------
      m : float
          Mass flow rate [kg/s]
      x : float
          Quality at the specific tube interval []
      D : float
          Diameter of the tube [m]
      rhol : float
          Density of the liquid [kg/m^3]
      rhog : float
          Density of the gas [kg/m^3]
      mul : float
          Viscosity of liquid [Pa*s]
      kl : float
          Thermal conductivity of liquid [W/m/K]
      Cpl : float
          Heat capacity of liquid [J/kg/K]
      MW : float
          Molecular weight of the fluid, [g/mol]
      P : float
          Pressure of fluid, [Pa]
      Pc : float
          Critical pressure of fluid, [Pa]
      Te : float, optional
          Excess temperature of wall, [K]
  
      Returns
      -------
      h : float
          Heat transfer coefficient [W/m^2/K]
  
      Notes
      -----
      [1]_ has been reviewed, and is accurately reproduced in [3]_.
      
      Uses the `Cooper` and `turbulent_Dittus_Boelter` correlations.
      
      A correction for horizontal flow at low Froude numbers is available in 
      [1]_ but has not been implemented and is not recommended in several 
      sources.
      
      Examples
      --------
      >>> Liu_Winterton(m=1, x=0.4, D=0.3, rhol=567., rhog=18.09, kl=0.086, 
      ... mul=156E-6, Cpl=2300, P=1E6, Pc=22E6, MW=44.02, Te=7)
      4747.749477190532
  
      References
      ----------
      .. [1] Liu, Z., and R. H. S. Winterton. "A General Correlation for 
         Saturated and Subcooled Flow Boiling in Tubes and Annuli, Based on a 
         Nucleate Pool Boiling Equation." International Journal of Heat and Mass 
         Transfer 34, no. 11 (November 1991): 2759-66. 
         doi:10.1016/0017-9310(91)90234-6. 
      .. [2] Fang, Xiande, Zhanru Zhou, and Dingkun Li. "Review of Correlations 
         of Flow Boiling Heat Transfer Coefficients for Carbon Dioxide." 
         International Journal of Refrigeration 36, no. 8 (December 2013): 
         2017-39. doi:10.1016/j.ijrefrig.2013.05.015.
      .. [3] Bertsch, Stefan S., Eckhard A. Groll, and Suresh V. Garimella. 
         "Review and Comparative Analysis of Studies on Saturated Flow Boiling in
         Small Channels." Nanoscale and Microscale Thermophysical Engineering 12,
         no. 3 (September 4, 2008): 187-227. doi:10.1080/15567260802317357.
      '''
      G = m/(pi/4*D**2)
      ReL = D*G/mul
      Prl = Prandtl(Cp=Cpl, mu=mul, k=kl)
      hl = turbulent_Dittus_Boelter(Re=ReL, Pr=Prl)*kl/D
      F = (1 + x*Prl*(rhol/rhog - 1))**0.35
      S = (1 + 0.055*F**0.1*ReL**0.16)**-1
  #    if horizontal:
  #        Fr = Froude(V=G/rhol, L=D, squared=True)
  #        if Fr < 0.05:
  #            ef = Fr**(0.1 - 2*Fr)
  #            es = Fr**0.5
  #            F *= ef
  #            S *= es
      h_nb = Cooper(Te=Te, P=P, Pc=Pc, MW=MW)
      return ((F*hl)**2 + (S*h_nb)**2)**0.5