论文标题
H形腔中稳定自然对流的计算模拟
A Computational Simulation of Steady Natural Convection in an H-form Cavity
论文作者
论文摘要
利用基于盖尔金有限元法的自然对流问题的模拟，并利用了动量平衡方程的惩罚有限元元素公式，以实现准确的方程解决方案的解决方案，描述了H形腔差异加热的侧壁。空腔被PRANDTL数为Pr = 0.71的空气占据，假定流体在热对流中稳定，粘性和不可压缩。对于三种H形腔内总高度方面的三例瑞利数字，已经对瑞利数字进行了数值研究：0％，50％和85％。首先，目标是验证用于解决该工作问题的方程式的数值代码。为此，我们介绍了U-Component的点（0.5，0）的轮廓与在先前的简单正方形腔中获得的U-Component的比较。此外，为了确保我们所考虑的数值工具的数值准确性和有效性，实现了平均Nusselt号码与以前的简单腔的先前作品的比较。其次，目的是研究雷利数对H形腔的不同内部高度方面对自然对流动力学的不同内部高度方面的流体动力效应。不久之后，雄心是评估三个内部高度方面的不同瑞利数量的传热率。
The simulation of natural convection problem based on the Galerkin finite-element method, with the penalty finite-element formulation of the momentum balance equation, is exploited for accurate solutions of equations describing the problem of H-Form cavity differentially heated side walls. The cavity is occupied by the air whose Prandtl number is Pr=0.71, the fluid is assumed to be steady, viscous and incompressible within thermal convection. A numerical investigation has been made for Rayleigh numbers ranging from 10 to 10^6 for three cases of total internal height aspects of H-Form cavity: 0%, 50%, and 85%. Firstly, the goal is to validate the numerical code used to resolve the equations governing the problem of this work. For that, we present a comparison between the profiles at the point (0.5, 0) for the u-component, and u-component obtained in previous work for simple square cavity. Further, a comparison of the averaged Nusselt number with previous works for simple square cavity is realized in order to ensure the numerical accuracy, and the validity of our considered numerical tool. Secondly, the objective is to investigate on the hydrodynamic effects of Rayleigh number for different total internal height aspects of H-Form cavity on the dynamics of natural convection. Shortly after, the ambition is to assess the heat transfer rate for different Rayleigh number for three cases of internal height aspects.
