  A linear stability analysis of a single-phase Coupled Natural Circulation
Loop (CNCL) is carried out using a Fourier series based 1-D model. A 3-D CFD
study is undertaken to assess the ability of the 1-D model to capture the
non-periodic oscillatory behaviour exhibited by the CNCL system. After the
model verification, the stability maps of the system are obtained from the
eigenvalues of the steady-state. The CNCL has multiple steady states and the
stability maps of consistently observed steady states are presented. A thorough
parametric study is conducted to observe the influence of non-dimensional
numbers on the CNCL system. Increase in the Fourier number and flow resistance
coefficient lead to an increase in the domain of stability. A comparison of the
linear stability map with the empirical stability map indicates that the
non-linear terms do not significantly affect the stability boundary.
