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- Title
Dynamics and bifurcation characteristics of a boiling channel with forced circulation.
- Authors
Verma, Dinkar; Iyer, Kannan N
- Abstract
The dynamics of a boiling channel is studied with forced circulation using a nodal reduced-order model (ROM). The thermal-hydraulic ROM based on homogeneous equilibrium is derived using governing mass, momentum and energy conservation equations. The model takes into account the nodalized single as well as two-phase regions unlike the most of the existing studies in which nodalization of two-phase region is ignored. The results indicate the necessity to nodalize the two-phase region also to get more accurate results. Linear stability maps are obtained in parameter space constituted by phase change number and subcooling number. Simple correlations based on linear stability maps are derived to calculate power for a range of subcooling and inlet and exit restriction coefficients. The effect of restriction coefficients on linear stability suggests that a large value of inlet restriction coefficient and a small value of exit restriction coefficient give a greater stability threshold, while friction factor and Froude number do not affect the linear stability of the system significantly. A nonlinear analysis confirms that both subcritical and supercritical Hopf bifurcations appear for a range of control parameters. To corroborate the existence of two types of Hopf bifurcations, a time domain analysis is presented. Further, a parametric study shows that the region corresponding to subcritical Hopf bifurcation shrinks as inlet resistance coefficient decreases or the exit restriction coefficient increases, thereby favoring a globally safe operation of system.
- Subjects
STABILITY of linear systems; HOPF bifurcations; TIME-domain analysis; REDUCED-order models; LINEAR operators; NUCLEATE boiling
- Publication
Sādhanā: Academy Proceedings in Engineering Sciences, 2023, Vol 48, Issue 2, p1
- ISSN
0256-2499
- Publication type
Article
- DOI
10.1007/s12046-023-02088-1