scholarly journals Numerical Study of Diffusion of Interacting Particles in a Magnetic Fluid Layer

10.5772/36636 ◽  
2012 ◽  
Author(s):  
Olga Lavrova ◽  
Viktor Polevikov ◽  
Lutz Tobisk
Keyword(s):  
Magnetic Fluid ◽  
Numerical Study ◽  
Fluid Layer ◽  
Interacting Particles

scholarly journals NUMERICAL STUDY OF THE ROSENSWEIG INSTABILITY IN A MAGNETIC FLUID SUBJECT TO DIFFUSION OF MAGNETIC PARTICLES

2010 ◽  
Vol 15 (2) ◽  
pp. 223-233 ◽  
Author(s):  
Olga Lavrova ◽  
Viktor Polevikov ◽  
Lutz Tobiska
Keyword(s):  
Magnetic Field ◽  
Free Surface ◽  
Magnetic Fluid ◽  
Magnetic Particles ◽  
Numerical Study ◽  
Fluid Layer ◽  
Classical Problem ◽  
Parametric Representation ◽  
Field Configuration ◽  
Wide Range

The present study is devoted to the classical problem on stability of a magnetic fluid layer under the influence of gravity and a uniform magnetic field. A periodical peak‐shaped stable structure is formed on the fluid surface when the applied magnetic field exceeds a critical value. The mathematical model describes a single peak in the pattern assuming axial symmetry of the peak shape. The field configuration in the whole space, the magnetic particle concentration inside the fluid and the free surface structure are unknown quantities in this model. The unknown free surface is treated explicitly, using a parametric representation with respect to the arc length. The nonlinear problem is discretized by means of a finite element method for the Maxwell's equations and a finite‐difference method for the free surface equations. Numerical modelling allows to get over‐critical equilibrium free surface shapes in a wide range of applied field intensities. Our numerical results show a significant influence of the particle diffusion on the overcritical shapes.

Convection in Magnetic Fluids With Internal Heat Generation

1991 ◽  
Vol 113 (1) ◽  
pp. 122-127 ◽  
Author(s):  
N. Rudraiah ◽  
G. N. Sekhar
Keyword(s):  
Heat Source ◽  
Uniform Distribution ◽  
Heat Generation ◽  
Magnetic Fluid ◽  
Fluid Layer ◽  
Internal Heat ◽  
Magnetic Fluids ◽  
Internal Heat Generation ◽  
Stationary Convection ◽  
Expansion Technique

The effect of a uniform distribution of heat source on the onset of stationary convection in a horizontal Boussinesq magnetic fluid layer bounded by isothermal nonmagnetic boundaries is investigated. Solutions are obtained using a higher order Galerkin expansion technique, considering different isothermal boundary combinations (rigid-rigid, rigid-free, and free-free). It is found that the effect of internal magnetic number, due to a heat source, is to make the system more unstable. The results obtained, in the limiting cases, compare well with the existing literature.

Influence of carbon nanotubes on the dissipation of disturbances in a magnetic fluid layer

2021 ◽  
Vol 57 (2) ◽  
pp. 273-280
Keyword(s):  
Carbon Nanotubes ◽  
Elastic Properties ◽  
Magnetic Fluid ◽  
Fluid Layer ◽  
Viscous Friction ◽  
Multilayer Carbon Nanotubes

In this paper, processes of dissipation of disturbances of pressure and velocity in a magnetic fluid layer are experimentally studied. It is shown that the introduction of multi-layer carbon nanotubes (MCNT) up to 2wt.% into a magnetic fluid substantially increases the dissipation of disturbances due to increasing viscous friction and elastic properties of multilayer carbon nanotubes. Figs 9, Refs 9.

scholarly journals Instability of a magnetic fluid drop in a capillary: a numerical study

2008 ◽  
Vol 44 (2) ◽  
pp. 183-190 ◽  
Author(s):  
O. Lavrova ◽  
V. Polevikov ◽  
L. Tobiska
Keyword(s):  
Magnetic Fluid ◽  
Numerical Study ◽  
Fluid Drop

A numerical study on the effect of static magnetic field on the hemodynamics of magnetic fluid in biological porous media

2020 ◽  
Vol 141 (5) ◽  
pp. 1543-1558
Author(s):  
Seyed Mahdi Hosseinikhah ◽  
Borhan Beigzadeh ◽  
Majid Siavashi ◽  
Mahdi Halabian
Keyword(s):  
Magnetic Field ◽  
Porous Media ◽  
Static Magnetic Field ◽  
Magnetic Fluid ◽  
Numerical Study

J2230103 Fundamental characteristics of a polyimide diaphragm actuator using a magnet surrounded by magnetic fluid layer

2014 ◽  
Vol 2014 (0) ◽  
pp. _J2230103--_J2230103-
Author(s):  
Satomitsu IMAI ◽  
Tatsuki TSUKIOKA ◽  
Syogo KANEMASU ◽  
Toshiki SAITO ◽  
Masanori EBISAWA
Keyword(s):  
Magnetic Fluid ◽  
Fluid Layer
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