Numerical studys on passive paramerters of a fluid-solid interaction problem derived by natural convection in a circular enclosure

Abstract

The natural convection through a partitioned circular enclosure by a deformable middle wall was analyzed. To solve the FSI problem, a forceful connection between the fluid and flexible wall was established. In order to solve the problem under consideration, the Arbitrary Lagrangian-Eulerian (ALE) perspective was utilized. The finite element method (FEM), was also unilized in solving a set of model equations. Effect of wall Angle (30 ≤ η ≤ 90), flexibility (0.71 ≤ Eτ ≤ 200), Position of heat source and sink (-60 ≤ α ≤ +60) has been studied within a circular enclosure. The results indicate that a reduction in flexibility reduces the force (stress) applied to the wall as well as the average Nusselt number to some extent. Also, Increased angle of the wall leads to an enhancement in the Nu. The maximum applied stress and also wall distortion occur at specific positions of hot and cold sector, the buoyancy force and, therefore, the strength of the fluid flow are also higher, causing the heat transfer rate to increase. For The average Nusselt number, A decrease of 8.5 % for η = 90° has been reported compared to η = 30°. Also, the average Nusselt number for α = −60° is up to 124.5 % higher than for α = 60°.

Keywords

• Flexible middle wall
• Partitioned enclosure
• Fluid-structure interaction
• Inclination angle