The natural convection of a Newtonian fluid has been numerically studied inside a partitioned circular enclosure at the presence of a flexible (movable) wall. The set of equations are the continuity equations, the momentum in two directions, the energy equation for the fluid, and the energy and elastodynamic equations for the movable plate. Dimensional parameters indicating the problem are the Rayleigh number (10⁴ ≤ Ra ≤ 10⁷), Prandtl number (0.71 ≤ Pr ≤ 200). The results confirm that The degree of distortion (deformation) of the plate is directly dependent on the amount of forces applied by the fluid. For low Rayleigh numbers, the plate distortion as well as the vortex power produced in both halves of the cavity are almost negligible, and heat transfer dominantly occurs through the conduction mechanism. Increasing the Ra number from 10⁴ to 10⁷ will enhances the the average Nusselt number more than 5 times. Also, Increasing the Pr number from 0.71 to 200 will significantly increase the total stress applied to the plate more than 70 times.

在存在柔性（可移动）壁的情况下，在分隔的圆形外壳内对牛顿流体的自然对流进行了数值研究。这组方程是连续性方程、两个方向的动量、流体的能量方程以及可动板的能量和弹性动力学方程。表示问题的尺寸参数是瑞利数 (10 ⁴  ≤ Ra ≤ 10 ⁷)，普朗特数 (0.71 ≤ Pr ≤ 200)。结果证实，板的扭曲（变形）程度直接取决于流体施加的力的大小。对于低瑞利数，腔体两半产生的板变形和涡流功率几乎可以忽略不计，热传递主要通过传导机制发生。将 Ra 数从 10 ⁴增加到 10 ⁷将使平均努塞尔数提高 5 倍以上。此外，将 Pr 数从 0.71 增加到 200 将显着增加施加到板的总应力超过 70 倍。