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填充纳米流体且包含旋转圆柱的波浪壁腔内混合对流与熵产生的数值研究

Numerical Investigation of Mixed Convection and Entropy Generation in a Wavy-Walled Cavity Filled with Nanofluid and Involving a Rotating Cylinder.

作者信息

Alsabery Ammar I, Ismael Muneer A, Chamkha Ali J, Hashim Ishak

机构信息

Department of Refrigeration & Air-conditioning Technical Engineering, College of Technical Engineering, The Islamic University, Najaf 54001, Iraq.

School of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi Selangor 43600, Malaysia.

出版信息

Entropy (Basel). 2018 Sep 3;20(9):664. doi: 10.3390/e20090664.

DOI:10.3390/e20090664
PMID:33265753
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7513186/
Abstract

This numerical study considers the mixed convection and the inherent entropy generated in Al 2 O 3 -water nanofluid filling a cavity containing a rotating conductive cylinder. The vertical walls of the cavity are wavy and are cooled isothermally. The horizontal walls are thermally insulated, except for a heat source segment located at the bottom wall. The dimensionless governing equations subject to the selected boundary conditions are solved numerically using the Galerkin finite-element method. The study is accomplished by inspecting different ranges of the physical and geometrical parameters, namely, the Rayleigh number ( 10 3 ≤ R a ≤ 10 6 ), angular rotational velocity ( 0 ≤ Ω ≤ 750 ), number of undulations ( 0 ≤ N ≤ 4 ), volume fraction of Al 2 O 3 nanoparticles ( 0 ≤ ϕ ≤ 0.04 ), and the length of the heat source ( 0.2 ≤ H ≤ 0.8 ) . The results show that the rotation of the cylinder boosts the rate of heat exchange when the Rayleigh number is less than 5 × 10 5 . The number of undulations affects the average Nusselt number for a still cylinder. The rate of heat exchange increases with the volume fraction of the Al 2 O 3 nanoparticles and the length of the heater segment.

摘要

本数值研究考虑了填充有包含旋转导电圆柱的空腔的Al₂O₃-水纳米流体中的混合对流和固有熵。空腔的垂直壁是波浪形的，并进行等温冷却。水平壁是绝热的，底部壁上有一个热源段除外。在选定的边界条件下，使用伽辽金有限元方法对无量纲控制方程进行数值求解。该研究通过考察不同范围的物理和几何参数来完成，即瑞利数（10³≤Ra≤10⁶）、角旋转速度（0≤Ω≤750）、波动数（0≤N≤4）、Al₂O₃纳米颗粒的体积分数（0≤ϕ≤0.04）以及热源的长度（0.2≤H≤0.8）。结果表明，当瑞利数小于5×10⁵时，圆柱的旋转提高了热交换速率。波动数影响静止圆柱的平均努塞尔数。热交换速率随Al₂O₃纳米颗粒的体积分数和加热段的长度增加而增加。

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