A Hybrid Integral–Spectral Chebyshev Collocation Method for Solving MHD Jeffery–Hamel Flow of Nanofluid With a Porous Medium

ABSTRACT This paper introduces a highly accurate method for solving nonlinear differential equations. The proposed approach is applied to the analysis of magnetohydrodynamics (MHD) Jeffery–Hamel nanofluid flow within a porous medium. The effects of the Hartmann number, the Reynolds number, nanofluid volume fraction, and porosity on the velocity profiles in both divergent and convergent channels are thoroughly examined. Comparative results with the previous studies are presented to validate the accuracy and applicability of the method. The findings demonstrate that the proposed technique yields precise results that are consistent with those reported in the literature.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-10-08
DOI
https://doi.org/10.1002/mma.70228
Primary Topic
Nanofluid Flow and Heat Transfer
Type
article
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article

A Hybrid Integral–Spectral Chebyshev Collocation Method for Solving MHD Jeffery–Hamel Flow of Nanofluid With a Porous Medium

Ahmed A. Khidir, Ahmed S. Alfaydi
Mathematical Methods in the Applied Sciences
Nanofluid Flow and Heat Transfer
article

A Hybrid Integral–Spectral Chebyshev Collocation Method for Solving MHD Jeffery–Hamel Flow of Nanofluid With a Porous Medium

Ahmed A. Khidir, Ahmed S. Alfaydi
article en

Abstract

ABSTRACT This paper introduces a highly accurate method for solving nonlinear differential equations. The proposed approach is applied to the analysis of magnetohydrodynamics (MHD) Jeffery–Hamel nanofluid flow within a porous medium. The effects of the Hartmann number, the Reynolds number, nanofluid volume fraction, and porosity on the velocity profiles in both divergent and convergent channels are thoroughly examined. Comparative results with the previous studies are presented to validate the accuracy and applicability of the method. The findings demonstrate that the proposed technique yields precise results that are consistent with those reported in the literature.

Mathematical Methods in the Applied Sciences
University of Tabuk (SA)
Openalex Percentile: Top 73%
Nanofluid Flow and Heat Transfer
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