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

Qingkai ZHAO, Longbin TAO, Hang XU

doi:10.1007/s10483-023-3048-7

2023 , Vol. 44 >Issue 11: 1957 - 1972

DOI: https://doi.org/10.1007/s10483-023-3048-7

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

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1. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212100, Jiangsu Province, China;
2. Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, Glasgow G4 0LZ, U. K.;
3. State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 2023-06-29

Revised date: 2023-09-13

Online published: 2023-10-26

Supported by

the China Postdoctoral Science Foundation (No. 2018M631909) and the Doctor of Entrepreneurship and Innovation Project of Jiangsu Province (No. JSSCBS20221300)

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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.

Key words： nanofluid; pulsating flow; heat transfer; applied magnetic field

Cite this article

Qingkai ZHAO, Longbin TAO, Hang XU . Analysis of periodic pulsating nanofluid flow and heat transfer through a parallel-plate channel in the presence of magnetic field[J]. Applied Mathematics and Mechanics, 2023 , 44(11) : 1957 -1972 . DOI: 10.1007/s10483-023-3048-7

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