A closed-form solution for laminar film condensation from downward pure vapour flow in vertical tubes |
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Affiliation: | 1. Department of Nuclear Energy Science and Engineering, Naval University of Engineering, Wuhan 430033, China;2. China Ship Development and Design Center, Wuhan 430064, China;1. State Key Laboratory of Multiphase Flow in Power Engineering, Xi''an Jiaotong University, Xi''an 710049, China;2. Moe Key Laboratory of Thermo-Fluid Science and Engineering, Xi''an Jiaotong University, Xi''an 710049, China;1. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China;2. University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China |
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Abstract: | An analytical solution is derived for the film thickness for simplified steady-state governing equations of laminar film condensation from laminar pure vapours flowing downward in vertical tubes. This approach yields an accurate, approximate closed-form non-marching solution for the condensate film thickness. All other relevant quantities such as the heat transfer coefficient, the vapour and liquid velocity profiles, the vapour and liquid mass flow rates, the interfacial shear stress, and the pressure gradient can be easily computed in closed-form from this solution directly at any given axial location. The present solution compares very well to other analytical works that require more complicated iterative techniques with a marching solution approach. |
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