Non-dimensional analysis of static bifurcation in a natural circulation loop

Non-dimensional analysis of static bifurcation in a natural circulation loop 1 first-author 1 1 Department of Nuclear Science and System Engineering, Shanghai Jiaotong University, Shanghai 200030, China Department of Nuclear Science and System Engineering, Shanghai Jiaotong University, Shanghai 200030, China The steady-state characteristics of a two-phase natural circulation loop were investigated based on the homogenous model. Transcendental equations of non-dimensional loop mass flow rate under various conditions were also derived. The static bifurcation diagram of a two-phase natural circulation described with non-dimensional variables N pch - m + was obtained. In addition, various steady-state characteristics of a natural circulation loop were analyzed and discussed. These characteristics include the existence of multiple solutions under certain conditions, and the maximum mass flow rate. The authors also examined the effects of important parameters such as sub-cooling number, riser-to-heated-region length ratio, and riser-to-heated-region diameter ratio. Non-dimensional analysis Two-phase natural circulation Static bifurcation References Wallis G B , Heasley J H . J Heat Transfer , 1961 , 83 ( 3 ): 363 - 369 J Heat Transfer Ramos E , Sen M , Trevino C . Int. J. Heat Mass Transfer , 1985 , 28 : 1711 - 1719 Int. J. Heat Mass Transfer Knaani A , Zvirin Y . Int. J. Multiphase Flow , 1993 , 19 : 1129 - 1151 Int. J. Multiphase Flow Lee S Y , Lee D W . Nuclear Engineering and Design , 1991 , 128 : 317 - 330 Nuclear Engineering and Design Yao Wei , Kuang Bo , Xu Jijun . Bifurcation phenomenon of two-phase natural circulation system , Proc. of the Fourth International Symposiums on Multiphase Flow and Heat Transfer . Xi’an, China , 1999 Bifurcation phenomenon of two-phase natural circulation system Jeng H R , Pan Chin . Annals of Nuclear Energy , 1999 , 26 : 1227 - 1251 Annals of Nuclear Energy 10.1016/S1001-8042(06)60013-4 TL33,TK12. 2005-06-30 2006-02-20 2021-01-19 2006 Nuclear Science and Techniques 01 17