Abstract
The future nuclear reactors are being engineered to function completely on the phenomena of thermosiphoning. These reactors are equipped with various natural circulation-based systems which offer several benefits. The linear stability analysis examines the stability for such systems for small perturbations. If perturbations are slightly large, linear stability fails to fathom the stability of the system. In such cases, it becomes imperative to perform non-linear stability analysis. In the present work, a rectangular natural circulation loop has been simulated for small as well as large perturbations to underscore the importance of non-linear stability analysis. The key objectives of the present work include identification of the subcritical Hopf bifurcation and unravelling the repercussions of larger perturbation on the system in each region of the parametric space. The unfolding of dynamics from unstable limit cycles to chaos and then back to stable fixed points have been investigated through numerical simulations.
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