Free Convection in a Porous Enclosure by Virtue of Sinusoidal Heating and Cooling on Lateral Side: A Variable Periodicity Perspective

IF 0.8 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2023-06-15 DOI:10.1007/s40010-023-00833-z
Saurabh Kapoor, Kumari Manju
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Abstract

A numerical study has been made on free convection in the anisotropic porous enclosure. By nonuniform sinusoidal heating, flow is induced on the right side wall along with three adiabatic walls. The principal directions of the gravity vector have been taken obliquely to the permeability tensor. The performed study is conducted by using the Brinkman-extended non-Darcy model. The vorticity–streamfunction approach of the spectral element method is applied to solve the governing equations. The significance is specified on the impact of the periodicity parameter (N), local heat transfer rate (Nu\(_{y}\)) along with the flow mechanism in the enclosure with reference to orientation angle (\(\phi\)), permeability ratio (K\(^{*}\)) and anisotropic parameters. The outcome for odd N shows that a particular heat transfer at \(y=1.5\) is pointed extreme. Additionally, the increase in the permeability media while switching K\(^{*}\) from 1 to 0.2 increases the heat transfer rate. This increment occurs at the right corner, below the enclosure’s right. Moreover, considering every N, the profiles of Nu\(_{y}\) in both media (isotropic and anisotropic) are similar. However, it varies slightly for N\(=2\). Remarkably, this analysis shows that the flow pattern has been affected by distinct N via boundary conditions of temperatures. Consequently, the local heat transfer phenomena have also been affected.

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利用侧面正弦加热和冷却的多孔外壳中的自由对流:一个可变周期的观点
本文对各向异性孔壳内的自由对流进行了数值研究。通过非均匀正弦加热,沿三个绝热壁在右侧壁上诱导流动。重力矢量的主方向斜向渗透率张量。本研究采用Brinkman-extended非达西模型。采用谱元法的涡流函数方法求解控制方程。参考取向角(\(\phi\))、渗透率比(K \(^{*}\))和各向异性参数,明确了周期性参数(N)、局部换热率(Nu \(_{y}\))以及壳体内流动机理的影响意义。奇数N的结果表明,在\(y=1.5\)处的特定传热是指向极端的。此外,当K \(^{*}\)从1切换到0.2时,渗透率介质的增加增加了换热率。此增量发生在右角,在外壳的右侧下方。此外,考虑到每一个N, Nu \(_{y}\)在两种介质(各向同性和各向异性)中的分布是相似的。但是,对于N \(=2\),它略有不同。值得注意的是,该分析表明,不同的N通过温度的边界条件影响了流动模式。因此,局部换热现象也受到了影响。
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2.60
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0.00%
发文量
37
审稿时长
>12 weeks
期刊介绍: To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology
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