Nonlinear analysis for a double-channel two-phase natural circulation loop under low-pressure conditions |
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Affiliation: | 1. Department of Electronic Engineering, Chin Min Institute of Technology 110, Shyue Fu Road, Tou-Fen 351, Taiwan, ROC;2. Department of Engineering and System Science, National Tsing Hua University 101, Sect.2, Kuang Fu Road, Hsinchu 30043, Taiwan, ROC;1. School of Science, Nantong University, Nantong, 226019, PR China;2. School of Mathematics and Statistics, University of New South Wales, Sydney, 2052, Australia;3. School of Finance and Statistics, East China Normal University, Shanghai, 200241, PR China;4. School of Mathematics and Statistics, Nanjing University of Information and Technology, Nanjing, PR China |
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Abstract: | On the basis of the homogeneous flow model and Galerkin nodal approximation method, this study adopts the methodology in [Nucl. Eng. Des. 192 (1999) 31] to develop a nonlinear numerical model for a double-channel two-phase natural circulation loop. The calculated steady-state results provide a reasonable agreement against the experimental data in the high power region but overestimate in the low power region under both equal-heating and unequal-heating conditions. Nonlinear dynamics and stability boundary of the double-channel boiling natural circulation loop are also analyzed. Two unstable regions, type-I and type-II instabilities, are found in this system. Complex channel-to-channel interactions coupling with loop dynamics may occur in the double-channel natural circulation loop. For the equal-heating system, out-of-phase oscillations may prevail under the operating conditions that the gravitational pressure drops are very highly dominant, such as low subcooling and low power conditions. However, in-phase oscillations may exist in the medium to high power regions, where two-phase frictions are relatively important. For the unequal-heating system, the heating power difference between two channels may drive the system more unstable both in type-I and type-II regions. The two unequal-heating channels exhibit in-phase oscillation mode, instead of out-of-phase in the equal-heating system, at low subcooling and low power conditions. In addition, parametric effects on the stability are also evaluated in this study. |
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