Open Access

ARTICLE

Steady-State Solution of MHD Flow with Induced Magnetic Field

Saykat Poddar¹, Jui Saha¹, Badhan Neogi¹, Mohammad Sanjeed Hasan¹, Muhammad Minarul Islam¹, Giulio Lorenzini^2,*, Md. Mahmud Alam³

1 Department of Mathematics, Faculty of Science, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, 8100, Bangladesh
2 Department of Industrial Systems and Technologies Engineering, University of Parma, Parma, 43124, Italy
3 Mathematics Discipline, Science, Engineering and Technology School, Khulna University, Khulna, 9208, Bangladesh

* Corresponding Author: Giulio Lorenzini. Email:

Fluid Dynamics & Materials Processing 2025, 21(2), 233-252. https://doi.org/10.32604/fdmp.2025.056131

Received 15 July 2024; Accepted 26 December 2024; Issue published 06 March 2025

Abstract

This study presents a numerical analysis of the steady-state solution for transient magnetohydrodynamic (MHD) dissipative and radiative fluid flow, incorporating an induced magnetic field (IMF) and considering a relatively high concentration of foreign mass (accounting for Soret and Dufour effects) over a vertically oriented semi-infinite plate. The governing equations were normalized using boundary layer (BL) approximations. The resulting nonlinear system of partial differential equations (PDEs) was discretized and solved using an efficient explicit finite difference method (FDM). Numerical simulations were conducted using MATLAB R2015a, and the developed numerical code was verified through comparison with another code written in FORTRAN 6.6a. To ensure the reliability of the results, both mesh refinement and steady-state time validation tests were performed. Furthermore, a comparison with existing published studies was made to confirm the accuracy of the findings. The dimensionless equations revealed the impacts of several key parameters. The IMF initially intensifies near the plate before gradually diminishing as the magnetic parameter increases. For the range 0 ≤ y ≤ 1.8 (where is the horizontal direction), the IMF decreases with a rise in the magnetic Prandtl number; however, for 1.8 ≤ y ≤ 7 (approximately), the magnetic field begins to increase. Beyond this, the profile of the magnetic field becomes somewhat irregular through the remaining part of the BL.

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Keywords

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