ORIGINAL RESEARCH article
Front. Phys.
Sec. Interdisciplinary Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1634769
This article is part of the Research TopicNonlinear Vibration and Instability in Nano/Micro Devices: Principles and Control StrategiesView all 18 articles
Interfacial Stability Control of MHD Bingham Fluids in Micro-Porous MEMS Structures via Fractal Analysis
Provisionally accepted
- 1Ain Shams University, Cairo, Egypt
- 2Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
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The interfacial stability of fluids in micro-pore MEMS (Micro-Electro-Mechanical System) devices is also essential for a wide range of miniaturized devices, such as sensors, actuators, and microfluidic systems. The main forces acting in such a confined space are the capillary forces, the surface tension, and the viscous interactions due to the large surface-to-volume ratio. The micro-porous structure introduces complex interfacial dynamics, particularly when multiple immiscible fluids or viscoelastic media are involved. This study investigates Magnetohydrodynamics (MHD) interfacial stability in Bingham fluids moving in micro-porous MEMS structures with fractal space characteristics. The study uses nonlinear boundary conditions to study motion equations, resulting in a nonlinear partial differential equation for interface displacement with complex coefficients. The study also uses a modified Lindstedt-Poincaré transformation to express the elevation amplitude equation in fractal space, which is converted to a linear form using the harmonic equivalent linearization approach (HELA). The study presents diagrams to illustrate and interpret the resulting stability characteristics, providing valuable insights into interface stability under nonlinear and fractal effects.
Keywords: Micro-Porous MEMS Structures, Nonlinear interfacial instability control, MHD Bingham fluid, Magnetic fields. Fractal space features, The harmonic equivalent linearization approach
Received: 25 May 2025; Accepted: 16 Jun 2025.
Copyright: © 2025 El-Dib, Mady and Alyousef. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Yusry El-Dib, Ain Shams University, Cairo, Egypt
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