Theory of electrokinetic flow in a narrow parallel-plate channel

摘要: We develop a theory of electrokinetic flow 1 : aqueous electrolyte through narrow channel, the two walls which are charged, non-conducting, infinite parallel plates. The zeta (ζ) potential may have any value and double layer overlap is taken into account. Making use Poisson–Boltzmann equation for potential, previous work on this problem by Burgreen Nakache corrected amplified. It shown that classical Smoluchowski expression electro-osmotic velocity, applies at κh 1, reduced factor tends to zero with κh, where /κ Debye–Huckel thickness 2h channel width. ratio applied electric field (streaming potential) pressure gradient current equals volume all ζ κh. But unless common much smaller than (particularly high ζ), tending apparent viscosity in exceeds bulk (the electroviscous retardation effect). these viscosities has maximum respect fixed also