Authors: S.K. Griffiths and R.H. Nilson
Affilation: Sandia National Laboratory, United States
Pages: 558 - 561
Keywords: dispersion, electroosmotic, electrokinetic, flow, transport
To investigate hydrodynamic dispersion in electroosmotic ?ow, we have derived an asymptotic series solution for the problem of two-dimensional species transport in a tube or channel. This solution is applicable to the late-time diÆusive and advective transport of a neutral non-reacting species in an incompressible ?uid having uniform and constant electrical and transport properties. We find that the axial dispersion is proportional to the square of the Peclet number based on the characteristic transverse dimension of the tube or channel when the Debye length is large. When the Debye length is small, the dispersion varies as the square of the Peclet number based on the Debye length.