docs: def turbulent_Bhatti_Shah(Re, Pr, fd, eD):
      r'''Calculates internal convection Nusselt number for turbulent flows
      in pipe according to [2]_ as shown in [1]_. The most widely used rough
      pipe turbulent correlation.
  
      .. math::
          Nu_D = \frac{(f/8)Re_DPr}{1+\sqrt{f/8}(4.5Re_{\epsilon}^{0.2}Pr^{0.5}-8.48)}
  
      Parameters
      ----------
      Re : float
          Reynolds number, [-]
      Pr : float
          Prandtl number, [-]
      fd : float
          Darcy friction factor [-]
      eD : float
          Relative roughness, [-]
  
      Returns
      -------
      Nu : float
          Nusselt number, [-]
  
      Notes
      -----
      According to [1]_, the limits are:
      0.5 ≤ Pr ≤  10
      0.002 ≤ ε/D ≤  0.05
      10,000 ≤ Re_{D}
      Another correlation is listed in this equation, with a wider variety
      of validity.
  
      Examples
      --------
      >>> turbulent_Bhatti_Shah(Re=1E5, Pr=1.2, fd=0.0185, eD=1E-3)
      302.7037617414273
  
      References
      ----------
      .. [1] Rohsenow, Warren and James Hartnett and Young Cho. Handbook of Heat
         Transfer, 3E. New York: McGraw-Hill, 1998.
      .. [2] M. S. Bhatti and R. K. Shah. Turbulent and transition flow
         convective heat transfer in ducts. In S. Kakaç, R. K. Shah, and W.
         Aung, editors, Handbook of Single-Phase Convective Heat Transfer,
         chapter 4. Wiley-Interscience, New York, 1987.
      '''
      Re_e = Re*eD*(fd/8.)**0.5
      return Re*Pr*fd/8./(1 + (fd/8.)**0.5*(4.5*Re_e**0.2*Pr**0.5 - 8.48))