Analysis of periodic pulsating nanofluid flow and heat transfer through a parallel-plate channel in the presence of magnetic field

IF 4.5 2区 工程技术 Q1 MATHEMATICS, APPLIED Applied Mathematics and Mechanics-English Edition Pub Date : 2023-10-31 DOI:10.1007/s10483-023-3048-7
Qingkai Zhao, Longbin Tao, Hang Xu
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Abstract

In this paper, we focus on the two-dimensional pulsating nanofluid flow through a parallel-plate channel in the presence of a magnetic field. The pulsating flow is produced by an applied pressure gradient that fluctuates with a small amplitude. A kind of proper transformation is used so that the governing equations describing the momentum and thermal energy are reduced to a set of non-dimensional equations. The analytical expressions of the pulsating velocity, temperature, and Nusselt number of nanofluids are obtained by the perturbation technique. In the present study, the effects of the Cu-H2O and Al2O3-H2O nanofluids on the flow and heat transfer in pulsating flow are compared and analyzed. The results show that the convective heat transfer effect of Cu-H2O nanofluids is better than that of Al2O3-H2O nanofluids. Also, the effects of the Hartmann number and pulsation amplitude on the velocity, temperature, and Nusselt number are examined and discussed in detail. The present work indicates that increasing the Hartmann number and pulsation amplitude can enhance the heat transfer of the pulsating flow. In addition, selecting an optimal pulsation frequency can maximize the convective heat transfer of the pulsating flow. Therefore, improved understanding of these fundamental mechanisms is conducive to the optimal design of thermal systems.

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磁场作用下平行板通道中周期性脉动纳米流体流动和传热分析
在本文中,我们重点研究了在磁场存在的情况下,二维脉动纳米流体通过平行板通道的流动。脉动流是由施加的压力梯度产生的,该压力梯度以小幅度波动。使用一种适当的变换,将描述动量和热能的控制方程简化为一组无量纲方程。利用微扰技术得到了纳米流体脉动速度、温度和努塞尔数的解析表达式。本研究比较分析了Cu-H2O和Al2O3-H2O纳米流体对脉动流中流动和传热的影响。结果表明,Cu-H2O纳米流体的对流换热效果优于Al2O3-H2O纳米流体。此外,还详细讨论了哈特曼数和脉动幅度对速度、温度和努塞尔数的影响。研究表明,增加哈特曼数和脉动幅度可以增强脉动流的传热。此外,选择最佳脉动频率可以最大化脉动流的对流传热。因此,更好地理解这些基本机制有助于热力系统的优化设计。
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来源期刊
CiteScore
6.70
自引率
9.10%
发文量
106
审稿时长
2.0 months
期刊介绍: Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China. Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.
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