MATLAB Code for Exact Solution of 3D Poiseuille Flow of a Micropolar Fluid in a Rectangular Channel via Double Fourier Series

Published: 5 December 2025| Version 1 | DOI: 10.17632/4y99pghv4x.1
Contributors:
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Description

This dataset contains MATLAB source code that implements the exact analytical solution for the steady three-dimensional Poiseuille flow of a micropolar fluid in a rectangular channel. The code computes the velocity and microrotation fields based on the double Fourier series and generates six key figures visualizing the flow structure and the influence of micropolarity.

Files

Steps to reproduce

Download the file micropolar_poiseuille_rectangular_channel.m. Open MATLAB (version R2023a or later is recommended). Set the current folder to the directory containing the downloaded file. Run the script by typing micropolar_poiseuille_rectangular_channel in the command window and pressing Enter. The script will compute the solution and automatically save six high-resolution figures (TIFF, 300 dpi) in a subfolder named micropolar_poiseuille_rectangular_channel_figures. All figures are also displayed in the MATLAB Figure window for immediate inspection.

Institutions

Samara State Technical University, Ural'skij federal'nyj universitet imeni pervogo Prezidenta Rossii B N El'cina

Categories

Applied Mathematics, Computational Physics, Fluid Mechanics, Continuum Mechanics, Micropolar Medium

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