Stretching Flow and Magnetic Diffusion Analysis of Maxwell Magnetic Nanofluids in Non-Uniform Magnetic Fields

WU Xueke; LIU Chunyan; BAI Yu; ZHANG Yan

doi:10.21656/1000-0887.440164

Volume 45 Issue 1

Jan. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(1): 110-119

WU Xueke, LIU Chunyan, BAI Yu, ZHANG Yan. Stretching Flow and Magnetic Diffusion Analysis of Maxwell Magnetic Nanofluids in Non-Uniform Magnetic Fields[J]. Applied Mathematics and Mechanics, 2024, 45(1): 110-119. doi: 10.21656/1000-0887.440164

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Stretching Flow and Magnetic Diffusion Analysis of Maxwell Magnetic Nanofluids in Non-Uniform Magnetic Fields

doi: 10.21656/1000-0887.440164

WU Xueke^{1, 2
,},
LIU Chunyan^{1, 2
,
,},
BAI Yu^{1, 2
,},
ZHANG Yan^{1, 2
,}

1.
School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, P.R.China
2.
Beijing Key Laboratory of Functional Materials for Building Structure and Environmental Remediation, Beijing 100044, P.R.China

Received Date: 2023-05-29
Rev Recd Date: 2023-09-27
Publish Date: 2024-01-01

Abstract

Abstract

Magnetic nanoparticles can enhance the electrical and thermal conductivity of polymers, which are widely used in fields such as machinery, biomedicine, and energy storage. When a non-uniform magnetic field is imposed externally, the induced magnetic field cannot be ignored in the case of high Reynolds numbers. To explore the effects of magnetic nanoparticles on the unsteady flow and magnetic diffusion of viscoelastic fluid over the stretching sheet within the laminar boundary layer, the time distributed-order Maxwell constitutive equation was coupled with the momentum equation to establish partial differential equations for the velocity and magnetic diffusion of a 2D incompressible Maxwell magnetic nanofluid. Numerical analysis was performed with the finite difference method, and the velocity and the induced magnetic field distribution of the fluid within the boundary layer were analyzed by control of the magnetic nanoparticle type, the volume fraction and the magnetic parameter magnitude. The results show that, the velocity and induced magnetic field of the fluid are the largest in the case of Fe₂O₃ nanoparticles added to molten polymers, besides, the velocity and magnetic boundary layer thickness is the largest. With the increase of the Maxwell nanofluid relaxation time parameter, both the velocity and the magnetic diffusion will decrease. In addition, the velocity boundary layer thickness and the magnetic boundary layer thickness of the fluid decrease with the magnetic parameter. The larger the volume fraction of Fe₃O₄ nanoparticles is, the faster the fluid flow and the smaller the induced magnetic field will be. Therefore, the study of the addition of magnetic nanoparticles to polymers in non-uniform magnetic fields gives referential data for improving material properties.
- Maxwell fluid,
- magnetic nanoparticle,
- induced magnetic field,
- numerical difference scheme

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References(24)

References

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