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Flow of ferrofluid in an annular gap in a rotating magnetic field
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10.1063/1.3483598
/content/aip/journal/pof2/22/9/10.1063/1.3483598
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/9/10.1063/1.3483598

Figures

Image of FIG. 1.
FIG. 1.

Schematic illustration of the coupled magnetic-hydrodynamic problem for ferrofluid in the annular gap between two coaxial cylinders. The radii of the external and internal cylinders are and , respectively. In this figure corresponds to the thickness of the external cylinder or the space between the cylinder and the surface current distribution. In the analysis this thickness is assumed negligible . The azimuthal velocity component and axial directed spin velocity are obtained for an infinite annulus of ferrofluid between subjected to a rotating magnetic field perpendicular to the axis of the cylinder. The magnetic field source is modeled as a -directed surface current distribution . which is backed by a material of infinite magnetic permeability, .

Image of FIG. 2.
FIG. 2.

(a) Calculated spin and (b) translational velocity profiles for ferrofluid in the annular gap of two coaxial cylinders for 85 Hz and 5 mT rms of applied magnetic field. These were obtained using the physical and magnetic properties of the EMG900-3 ferrofluid (Table I) and values of the dimensionless parameter of 20, 33, and 50.

Image of FIG. 3.
FIG. 3.

(a) Calculated velocity profiles for ferrofluid in the annular gap of two coaxial cylinders as a function of (a) field frequency and 2 mT rms of applied magnetic field and (b) as a function of magnetic field intensity and field frequency of 100 Hz. These were obtained using the physical and magnetic properties of the EMG900-1 ferrofluid (Table I) and values of the dimensionless parameter of 20, 33, and 50.

Image of FIG. 4.
FIG. 4.

Calculated translational velocity profile showing the effect of on flow magnitude for an 85 Hz and 5 mT rms applied magnetic field. These were obtained using the physical and magnetic properties of EMG900-3 (Table I) and .

Image of FIG. 5.
FIG. 5.

Velocity profiles for EMG900-3 ferrofluid filling the annular gap between stationary coaxial cylinders, obtained with four transducers at different angles with respect to the diagonal. The measurements were obtained at a field frequency of 100 Hz and a magnetic field intensity of 12.7 mT rms. The inner cylinder wall is located at 9.35 mm and the outer cylinder wall is located at 24.7 mm.

Image of FIG. 6.
FIG. 6.

(a) Velocity profile dependence on magnetic field frequency with constant amplitude of 15.5 mT rms and (b) dependence on field amplitude for frequency of 100 Hz for EMG900-3 ferrofluid.

Image of FIG. 7.
FIG. 7.

Velocity profiles for EMG900-3 ferrofluid filling the annular gap between stationary coaxial cylinders, obtained with four transducers at different angles with respect to the diagonal. The measurements were obtained at a field frequency of 100 Hz and a magnetic field intensity of 12.7 mT. The inner cylinder wall is located at 9.35 mm and the outer cylinder wall is located at 24.7 mm.

Tables

Generic image for table
Table I.

Physical and magnetic properties at room temperature for oil based ferrofluid.

Generic image for table
Table II.

Parameters used in the DOP2000 ultrasound velocimeter in order to obtain velocity profile measurements of the EMG900-3 ferrofluid.

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/content/aip/journal/pof2/22/9/10.1063/1.3483598
2010-09-30
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Flow of ferrofluid in an annular gap in a rotating magnetic field
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/9/10.1063/1.3483598
10.1063/1.3483598
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