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Mathematical analysis of heat and fluid flow in a square cavity
International Journal of Modern Physics B ( IF 1.7 ) Pub Date : 2022-09-15 , DOI: 10.1142/s0217979223500236
Tahir Mahmood, F. D. Zaman, Noor Muhammad

Theoretical analysis of heat transfer plays a vital role in updating the quality of heat exchanger products. Experiments cost more compared to computational costs. In this direction, this work is concerned with the unsteady and incompressible fluid flow with a rod inside a square cavity. The disturbance in the flow is induced by the motion of the top and bottom walls of the cavity. The maximum fluid flow will arise, which will help in reducing the temperature of the heated wall or rod in any physical situation. A single wall is considered to be heated, which produces heat in the neighboring fluid layers. A rod is placed to reduce the motion of the heated fluid coming from the heated wall at a high-temperature. The transmission of thermal energy along with fluid flow is carried out using the energy equation and the Navier–Stokes equation of motion, respectively. These equations are transformed to dimensionless form by appropriate parametrization and solved using the finite element method for different parameters such as Rayleigh number and Prandtl number, temperature and velocity fields and are presented graphically



中文翻译:

方腔内热量和流体流动的数学分析

传热理论分析对换热器产品质量的更新起着至关重要的作用。与计算成本相比,实验成本更高。在这个方向上,这项工作涉及在方形腔内带有杆的不稳定和不可压缩的流体流动。流动的扰动是由空腔顶壁和底壁的运动引起的。将出现最大流体流量,这将有助于在任何物理情况下降低加热壁或加热棒的温度。单个壁被认为是被加热的,这会在相邻的流体层中产生热量。放置一根杆以减少来自高温加热壁的加热流体的运动。使用能量方程和 Navier-Stokes 运动方程进行热能与流体流动的传输,分别。这些方程通过适当的参数化转换为无量纲形式,并使用有限元方法求解不同的参数,例如瑞利数和普朗特数、温度和速度场,并以图形方式呈现

更新日期:2022-09-15
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