Abstract
In this study, the electroosmotic flow in a charge-regulated tubular channel is considered at low potential and arbitrary double layer thickness. Analytical expressions for the flow velocity and the corresponding asymptotic results for thick double layers that are readily applicable to experimentalists are recovered. For the range of salt concentration usually encountered in practice, the mean flow velocity for the case of constant surface potential differs both quantitatively and qualitatively from that for the case of constant surface charge density. Since this difference is both quantitative and qualitative, the true charged conditions on a channel wall can be inferred by appropriately designed experiments. Using an equivalent circular channel to simulate an elliptic one is inappropriate; in general, neither is assuming electroneutrality on the channel axis even when double layer is ca. 1/3 of the equivalent channel radius.
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