The
Dielectrophoretic Force feature adds the following contribution
Fdep (SI unit: N) to the total force acting on a particle. For the case of a static nonuniform electric field,
The Shell feature can be added to the
Dielectrophoretic Force node to model the dielectrophoretic force on particles with thin outer layers. The volume inside the thin layers is assumed to have uniform conductivity and permittivity, but the properties of the shell can differ significantly from those of the rest of the particle. When computing the dielectrophoretic force, the complex permittivity of the particle
is replaced by the equivalent complex relative permittivity
of a homogeneous particle comprising both the shell and the interior of the particle:
where ro and r
i (SI unit: m) are the outer and inner radii of the shell, respectively;
(dimensionless) is the complex relative permittivity of the particle, and
(dimensionless) is the complex relative permittivity of the outer shell. If multiple shells are added, the shells are applied in the order in which they appear in the Model Builder, with the first shell being the innermost. The present treatment of spherical particles with thin shells is described in
Ref. 3.