Insights in the nonlinear instability of a ferromagnetic fluid jet

IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Galal M. Moatimid, Mona A.A. Mohamed, Khaled Elagamy
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引用次数: 0

Abstract

The objective of the current study is to scrutinize the nonlinear instability of a cylindrical interface linking two distinct viscoelastic magnetic fluids. The viscoelastic fluid obeys the Eyring-Powell non-Newtonian (EPF) type. It is supposed that the liquids are initially streaming with uniform velocities and saturated in a permeable media. Additionally, an unchanged axial magnetic field (MF) is pervaded by the presence of surface tension (ST). The motivation of the current matter is essential for sophisticated material processing and precision engineering, as it enhances their stability and responsiveness under diverse situations, facilitating more efficient devices and novel applications in microfluidics and soft robotics. It is also improved the material processing, biomedical devices, flexible electronics, and drug delivery systems, in addition to optimizing ferrofluid-based actuators and sensors in MFs. The methodology of the analysis is grounded in the non-perturbative approach (NPA). This methodology is established mainly on He's frequency formula (HFF). To relax the calculated manipulation, the viscous potential theory (VPT) is employed. The linear partial differential equations (PDEs) governing the motion are solved in light of the nonlinear boundary conditions (BCs). This organization produced a complicated nonlinear characteristic PDE. A procedure concerning the non-dimensional analysis is adopted to reveal a set of dimensionless physical parameters. A compound nonlinear specific formula with complex factors has resulted in the form of the former procedure. It is discovered that ignoring the Weber number excludes all the imaginary components. The nonlinear characteristic ODE is studied in instances of the real besides the complex coefficients. A set of diagrams is plotted to display the stability configuration with the variation of diverse physical pertinent parameters. The stability zones fluctuate between increasing and decreasing due to various characteristics, although remains predominantly stable. Additionally, a collection of PolarPlots moreover time variation and phase plane diagrams are illustrated for the equivalent solution to grantee stable solutions. The damping in the complex solution is increasing and speeding with the rise of the amplitude factor and the wave number.

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来源期刊
Chinese Journal of Physics
Chinese Journal of Physics 物理-物理:综合
CiteScore
8.50
自引率
10.00%
发文量
361
审稿时长
44 days
期刊介绍: The Chinese Journal of Physics publishes important advances in various branches in physics, including statistical and biophysical physics, condensed matter physics, atomic/molecular physics, optics, particle physics and nuclear physics. The editors welcome manuscripts on: -General Physics: Statistical and Quantum Mechanics, etc.- Gravitation and Astrophysics- Elementary Particles and Fields- Nuclear Physics- Atomic, Molecular, and Optical Physics- Quantum Information and Quantum Computation- Fluid Dynamics, Nonlinear Dynamics, Chaos, and Complex Networks- Plasma and Beam Physics- Condensed Matter: Structure, etc.- Condensed Matter: Electronic Properties, etc.- Polymer, Soft Matter, Biological, and Interdisciplinary Physics. CJP publishes regular research papers, feature articles and review papers.
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