Roshani Hassan, Jalili Bahram, Mirzaei Amirmohammad, Jalili Payam, Ganji Davood Domiri
Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran.
Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O. Box 484, Babol, Iran.
Heliyon. 2024 Aug 8;10(16):e35690. doi: 10.1016/j.heliyon.2024.e35690. eCollection 2024 Aug 30.
This article aims to investigate the thermophysical properties of viscous nanofluid in the two-dimensional geometry of a triangular cavity containing inverted triangle, square, and rhombus obstacles with different boundary conditions. The boundary conditions of the triangular cavity are investigated in two mechanisms: 1) uniform temperature at the base of the cavity and 2) non-uniform temperature (sinusoidal function) at the base of the cavity. The finite element method was used to solve the governing equations of the viscous nanofluid flow. The effect of flow control parameters on velocity and temperature profile is considered in a wide range of Rayleigh and Prandtl numbers. The innovation of this study is to use different obstacles in the two-dimensional geometry of the triangular cavity and compare their velocity profiles and temperature distribution in different boundary conditions. The results show that in the obstacles used in the triangular cavity, with the increase of buoyancy force and Rayleigh number, the values of velocities increased and caused the formation of vortex flow, and the pattern of velocity vectors in the cavity with the rule of uniform temperature has given a distinctive feature. Also, the application of trigonometric temperature functions in general and sinusoidal temperature functions in particular with high frequency can effectively create a vortex flow and increase the heat transfer rate.
本文旨在研究粘性纳米流体在包含倒三角形、正方形和菱形障碍物的二维三角形腔内不同边界条件下的热物理性质。三角形腔的边界条件通过两种机制进行研究：1）腔底部温度均匀；2）腔底部温度不均匀（正弦函数）。采用有限元方法求解粘性纳米流体流动的控制方程。在广泛的瑞利数和普朗特数范围内，考虑了流动控制参数对速度和温度分布的影响。本研究的创新之处在于在二维三角形几何形状中使用不同的障碍物，并比较它们在不同边界条件下的速度分布和温度分布。结果表明，在三角形腔内使用的障碍物中，随着浮力和瑞利数的增加，速度值增大并导致涡旋流的形成，温度均匀规则的腔内速度矢量模式呈现出独特的特征。此外，一般的三角函数尤其是高频正弦温度函数的应用可以有效地产生涡旋流并提高传热速率。
