  Microchannel with porous wall has various microfluidic applications including
iontophoresis, diagnostic devices, etc. In order to have an efficient and
better design of such devices, exact quantification of velocity field in the
microchannel needs to be established. In the present study, an analytical
solution of velocity field in a microchannel with porous wall was obtained for
a Newtonian fluid in case of a combined electroosmotic and pressure driven flow
using perturbation technique. The velocity profile was reduced to well known
solutions for three asymptotic cases, namely, purely electroosmotic flow and
purely pressure driven flow in an impervious conduit as well as pressure driven
flow with permeable wall. The pressure drop profile along the channel length
was also generated. Effects of operating parameters, i.e., wall suction
velocity, electrolyte concentration and channel half height on velocity and
pressure fields were also investigated.
