BIFURCATION-ANALYSIS OF PRESSURE-DROP OSCILLATIONS AND THE LEDINEGG INSTABILITY

被引:42
作者
PADKI, MM [1 ]
PALMER, K [1 ]
KAKAC, S [1 ]
VEZIROGLU, TN [1 ]
机构
[1] UNIV MIAMI,DEPT MATH & COMP SCI,CORAL GABLES,FL 33124
关键词
D O I
10.1016/0017-9310(92)90287-3
中图分类号
O414.1 [热力学];
学科分类号
摘要
Pressure-drop oscillations and the Ledinegg instability are analyzed from the perspective of dynamical systems theory. An integral formulation is developed to model the two-phase flow system. Instability criteria independent of the actual two-phase flow model are derived for the two phenomena. It is shown that the pressure-drop oscillation limit-cycles occur after a super-critical Hopf bifurcation. In an extension of the analysis, an effort is made to clarify the mechanisms of the pressure-drop type oscillations and Ledinegg instability. The two phenomena are classified from the angle of bifurcation theory, and the differences are outlined.
引用
收藏
页码:525 / 532
页数:8
相关论文
共 10 条
[1]  
ACHARD JL, 1980, NUREG CR1718 US NUCL
[2]  
DEVANEY RL, 1989, INTRO CHAOTIC DYNAMI, P80
[3]  
Guckenheimer J, 1983, NONLINEAR OSCILLATIO, V42
[4]  
KAKAC S, 1983, ADV 2 PHASE FLOW HEA, V2
[5]  
Ledinegg M., 1938, WARME, V61, P891
[6]  
LIU HT, 1989, THESIS U MIAMI CORAL
[7]  
SHIRER HN, 1987, LECUTRE NOTES PHYSIC, V271, P508
[8]  
STENNING AH, 1967, P S DYNAMICS 2 PHASE
[9]  
Thompson J. M. T., 1986, NONLINEAR DYNAMICS C
[10]  
Yadigaroglu G, 1981, THERMOHYDRAULICS 2 P