| Issue |
E3S Web Conf.
Volume 601, 2025
The 3rd International Conference on Energy and Green Computing (ICEGC’2024)
|
|
|---|---|---|
| Article Number | 00095 | |
| Number of page(s) | 8 | |
| DOI | https://doi.org/10.1051/e3sconf/202560100095 | |
| Published online | 16 January 2025 | |
The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluid
1 Research team AMSCG, Laboratory ICST, National School of Applied Sciences, Abdelmalek Essaadi University, Tetuan, Morocco
2 Energy Laboratory, Faculty of Sciences, Abdelmalek Essaadi University, Tetuan, Morocco
* Corresponding author: rachidamoussa77@gmail.com
This study investigates how the vertical magnetic field influences the stability of the ferrofluid in a heterogeneous porous layer with the vertical flow. The layer, confined between two impermeable walls, is subject to different heat flux conditions on each side. The behavior of the ferrofluid governed by Darcy’s law and the Oberbeck-Boussinesq approximation, while the magnetic field is modeled using Maxwell’s equations. A dimensionless formulation and linear stability analysis are employed to derive an ordinary differential equation, which is solved using the shooting method and a Runge-Kuttasolver. The results indicate that the transition of the wave number from zero to a nonzero value is connected to the Peclet number and other magnetic parameters.
© The Authors, published by EDP Sciences, 2025
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