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Energy efficiency in process industry and passive safety systems in nuclearpower plants necessitate the use of buoyancy driven heat exchangers. Thecurrent study presents a 1-D numerical model of the buoyancy driven fluidsystem in a Coupled Natural Circulation Loop (CNCL) comprising of water as theworking fluid. In this study water at different temperatures is considered asthe operating fluid in each of the loops. The study employs a 1-D model derivedusing a semi-analytical Fourier series. A validation study was carried outusing the relevant literature to verify the mathematical model. A detailedparametric study on individual NCLs and their coupled system was conducted byvarying the cross-sectional area keeping the other parameters constant to gaininsights into the effect of thermal coupling on the long-term transientdynamics of each of the individual loops of the CNCL system, for stable,neutrally stable, and unstable conditions. The dynamics were analysed using thedifference between transient buoyancy and viscous forces, and it was found thatthe overall heat transfer coefficient influences the coupling behaviour and thedynamics of the component loops in a CNCL. At lower values of the overall heattransfer coefficient, the component loops in the CNCL nearly retain theirindependent behaviour, i.e., the component loops hardly influence each other.It was also found that the temperature dependent fluid properties influence thestability of the CNCL system in some cases.

Fourier series-based modelling of the effects of thermal coupling on the transient dynamics of component loops in a Coupled Natural Circulation Loop