## Gd2Ap

18^o

AxAH2d 48^o

The separation of sample components is achieved, as previously described, by their different rates of transport toward the opposite wall B under the influence of the transverse field. It is important to be able to calculate the distance that a component has to travel. The ratio of sample flow rate V(a') to the total flow rate V defines the position of the ISP as distance wa, from wall A:

The feed stream is then confined to the lamina thickness wa, between wall A and the ISP.

By assuming that, during their residence in the SPLITT cell, the particles are driven from wall A to wall B at constant velocity U, the volumetric flow rate AV of the lamina traversed by a particle is simply given by where d is the particle diameter (assumed spherical), Ap is the difference between particle density ps (compact particles) and carrier density pl, yo is the viscosity of the carrier, g is the acceleration of gravity (earth field eqn [7]); m is the angular velocity (rad s_1) and r is the radius of the rotation (centrifugal acceleration eqn [8]); Ax is the difference between the magnetic susceptibilities of the particles, xp, and the carrier, xl, and AH is the drop in magnetic field strength (eqn [9]); ¿u is the electrophoretic mobility and E is the electric field strength (eqn [10]). In some cases, experimental studies have been based on diffusive transport or by using hydrodynamic lift forces (which can be used in unique ways because of their nonuniformity).

In order to settle whether particles exit the channel through outlet a or b, the relative values of AV and V(t) are of critical importance. For a sample introduced close to the ISP, particles exit from outlet a if:

which contains the physical dimensions of the channel b, and L (length); U is the velocity of the induced transverse transport. In fact, a number of different driving forces have been utilized to implement CSF: gravitational, centrifugal, magnetic, electrical. U assumes different expressions depending on the field inducing the transverse transport, i.e.

and from outlet b if:

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