Electrokinetic forces Balance

Electrokinetics. The first mathematical description of electrophoresis balanced the electrical body force on the charge in the diffuse layer with the viscous forces in the diffuse layer that work against motion (6). Using this force balance, an equation for the velocity, U, of a particle in an electric field... 

Liao KT, Tsegaye M, Chaurey V, Chou CF, Swami NS (2012) Nano-constriction device for rapid protein preconcentration in physiological media through a balance of electrokinetic forces. Electrophoresis 33 1958-1966... 

Classically, electrokinetic phenomena are described by the equation of Navier-Stokes along with the continuity equation [ 1-3J. The Navier-Stokes equation accounts for the balance of forces in the electrokinetic problem. For steady laminar fluid flow the Navier-Stokes equation takes the following form in electrokinetics ... 

Equation (21.62) shows that as k co, p tends to a nonzero limiting value p°°. This is a characteristic of the electrokinetic behavior of soft particles, in contrast to the case of the electrophoretic mobility of hard particles, which should reduces to zero due to the shielding effects, since the mobility expressions for rigid particles (Chapter 3) do not have p°°. The term p°° can be interpreted as resulting from the balance between the electric force acting on the fixed charges ZeN)E and the frictional force yu, namely. 

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