Bifurcation phenomenon of two-phase natural circulation system

The static bifurcation of the two-phase natural circulation (TPNC) system is studied theoretically and numerically in this article. By the DERPAR method, the solution diagram is calculated, which shows that the static bifurcation will occur under some conditions in TPNC systems. Also, it shows that, in a region of multiple solutions, the static instability may occur. It is defined as a region of thermal-siphon instability induced flow rate jumping. By means of the solution diagram, the stability margin can be determined in this region. Furthermore, the heat input at the peak of the solution diagram is defined as the maximum capacity of heating load that can be used to judge the capacity of TPNC of a given geometry topological structure. Meanwhile, it is interesting that TPNC systems have the hysteresis phenomenon defined as thermal-siphon hysteresis. The parametric effects are studied in this article as well.