Bijan Krishna Saha, Jahidul Islam Jihan, Md. Zobaer Ahammad, Goutam Saha, Suvash C. Saha
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Abstract
Analyzing fluid dynamics and heat transfer holds significant importance in the design and enhancement of engineering systems. The current investigation utilizes the finite element method to explore natural convection and heat transfer intricacies within a novel cavity containing an inner circular cylinder under steady and laminar flow conditions. The principal aim of this study is to assess the impact of Rayleigh number (Ra), Bejan number (Be), and the presence of adiabatic, hot, and cold cylinders on heat transfer, entropy generation, and fluid flow. The range of Ra considered in this investigation spans from 103 to 106, while the Prandtl number for the air is fixed at 0.71. The findings illustrate that the presence of a cylinder leads to higher Be as Ra increase, compared to scenarios where no cylinder is present. This observation suggests that buoyancy forces dominate in the absence of a cylinder, resulting in significantly enhanced convective heat transfer efficiency. However, the presence of a heated cylinder within the tooth-shaped cavity exerts a substantial influence on the overall thermal performance of the system. Notably, the average Nusselt Number (Nu) experiences a remarkable increase of 41.97% under the influence of a heated cylinder, when compared to situations where a cold cylinder is present. This elevated average Nu signifies improved heat transfer characteristics, ultimately resulting in an overall improvement in the thermal system's efficiency.
分析流体动力学和热传递对设计和改进工程系统具有重要意义。当前的研究利用有限元法探索了在稳定和层流条件下,包含内圆柱的新型空腔内自然对流和热传递的复杂性。本研究的主要目的是评估雷利数 (Ra)、贝扬数 (Be) 以及绝热、热和冷圆柱体的存在对传热、熵生成和流体流动的影响。本研究中考虑的 Ra 范围从 103 到 106,而空气的普朗特数固定为 0.71。研究结果表明,与不存在圆柱体的情况相比,随着 Ra 的增加,圆柱体的存在会导致 Be 值升高。这一观察结果表明,在没有圆筒的情况下,浮力占主导地位,从而显著提高了对流传热效率。然而,齿形空腔中加热圆柱体的存在对系统的整体热性能产生了重大影响。值得注意的是,与存在冷圆柱体的情况相比,在加热圆柱体的影响下,平均努塞尔特数(Nu)显著增加了 41.97%。平均努塞特数的提高意味着热传导特性的改善,最终导致热系统效率的整体提高。