Abstract This study aims to assess the natural convection heat transfer in a square cavity wherein the buoyancy-induced flow is generated by a thin flexible heater-plate inside the cavity. The vertical walls of the cavity are cold and the horizontal walls are adiabatic. The thin hot plate is assumed to be isothermal and fixed at an alterable point in the middle of the cavity with different inclination angles. To analysis the fluid-structure interaction (FSI), the finite element method along with the Arbitrary Lagrangian-Eulerian (ALE) technique is employed. Isotherms and streamlines, as well as the average Nusselt number, the dimensionless temperature in the cavity, and the maximum applied stress on the flexible plate, are studied. The results are presented as a function of Rayleigh number, Prandtl number, inclination angle, and different positions of the fixed point. The outcomes indicate the importance of the inclination angle and the position of the fixed point of the hot plate. The plate experiences significantly large values of stress when it is mounted horizontally. In the case of a plate fixed at its top, the highest stress occurs with an inclination angle of 40°. In contrast, the lowest stress is associated with the plate when it is positioned vertically.

中文翻译：

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外壳内热柔性薄板的流固耦合

摘要 本研究旨在评估方腔中的自然对流热传递，其中浮力引起的流动是由腔内的薄柔性加热板产生的。空腔的垂直壁是冷的，水平壁是绝热的。假设薄热板是等温的，并以不同的倾角固定在腔体中间的可变点上。为了分析流固耦合 (FSI)，采用了有限元方法和任意拉格朗日-欧拉 (ALE) 技术。研究了等温线和流线，以及平均努塞尔数、空腔中的无量纲温度和柔性板上的最大施加应力。结果表示为瑞利数、普朗特数、倾角、以及固定点的不同位置。结果表明倾斜角度和热板固定点位置的重要性。当板水平安装时，它会承受很大的应力值。在板固定在其顶部的情况下，最高应力出现在倾斜角为 40° 处。相反，当板垂直放置时，与板相关的应力最低。