Piecewise linear model for field-responsive fluids

Author

Lee, Charles H. ; Reitich, Fernando ; Jolly, Mark R. ; Banks, H. Thomas ; Ito, Kazufumi

Author_Institution

Dept. of Math., California State Univ., Fullerton, CA, USA

Volume

37

Issue

1

fYear

2001

fDate

1/1/2001 12:00:00 AM

Firstpage

558

Lastpage

560

Abstract

The Frohlich-Kennelly model provides a constitutive law for saturation that is field dependent and has been widely used for studying nonlinear properties for a variety of electric and magnetic applications. Under the Frohlich-Kennelly model, saturation begins to occupy the entire conducting domain even at low-moderate applied fields, in this paper, we first present a new nonlinear constitutive law for field-responsive fluids that depends on the local fields and allows regions where the fields have not reached a critical value to remain unsaturated. We then study numerically the nonlinear saturated model and compare the results to the Frohlich-Kennelly model and experiments performed at the Lord Corporation, Cary, NC

Keywords

magnetic domains; magnetic fluids; piecewise linear techniques; Frohlich-Kennelly model; conducting domain; field-responsive fluids; nonlinear constitutive law; nonlinear saturated model; piecewise linear model; saturation; Equations; Indium tin oxide; Magnetic fields; Magnetic liquids; Magnetic materials; Magnetostatics; Mathematics; Permeability; Piecewise linear techniques; Saturation magnetization;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.914377

Filename

914377