Abstract
We obtain the steady velocities and volume flow rates (up to the second order) of polymeric electrolytes along the cross-section of an (approximated) wavy-rough microtube by using the verified Eyring’s transition rate model and boundary perturbation method. Our numerical results show that the wavy-roughness could tune the electric-field-driven transport especially for larger forcing due to the larger surface-to-volume ratio and slip-velocity effect. We also found a rather low electrical resistance for certain critical temperature after careful selection of geometric and material parameters.
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