Generalized Taylor dispersion for translationally invariant microfluidic systems

We consider Taylor dispersion for tracer particles in micro-fluidic planar channels with strong confinement. In this context, the channel walls modify local diffusivity tensor and also interactions between become important. provide a simple general formula effective diffusion constant along as well first non-trivial finite time correction arbitrary flows channel, interaction potentials expressions tensor. The are particular amenable to straightforward numerical implementation, rendering them extremely useful comparison experiments. present number of applications, notably systems which have parabolically varying profiles, attractive electroosmotic plates differing surface charges within Debye-H\"uckel approximation.