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This study examines the impact of fluid-structure interaction on the natural convection occurring within a square cavity. The cavity is equipped with a square bar with two flexible fins, the temperature of the left vertical wall is high, while the right wall is low. The upper and lower walls of the cavity are highly insulated, the square bar with two elastic fins to the Centre cavity. The Newtonian fluid flows within the cavity as a result of buoyancy forces. The numerical simulation employs a finite element method incorporating an arbitrary Lagrangian-Eulerian (ALE) framework. The study investigates the impact of Rayleigh number 1E3˂Ra˂1E5, dimensionless elasticity modulus 5E9˂Eτ˂1E11. The findings indicate that the local and average Nusselt numbers increase when the Ra value rises with the elasticity modulus. We note the role of flexible fins in improving heat transfer and increasing fluid mixing, unlike rigid fins that act as an obstacle to fluid movement and thus reduce heat transfer.
