Piecewise linear model for field-responsive fluids

The Frohlich-Kennelly model provides a constitutive law for saturation that is field dependent and has been widely used for studying nonlinear propert ies for a variety of electric and magnetic applications. Under the Frohlich -Kennelly model, saturation begins to occupy the entire conducting domain e ven at low moderate applied fields, In this paper, we first present a new n onlinear constitutive law for field-responsive fluids that depends on the l ocal fields and allows regions where the fields have not reached a critical value to remain unsaturated. We then study numerically the nonlinear satur ated model and compare the results to the Frohlich-Kennelly model and exper iments performed at the Lord Corporation, Cary, NC.