Taylor Dispersion with Adsorption and Desorption

TL;DR

This paper develops a stochastic theory to analyze how adsorption and desorption kinetics influence Taylor dispersion in fluid flows, providing explicit formulas for dispersion coefficients in various geometries and flow conditions.

Contribution

It introduces a general stochastic framework for Taylor dispersion affected by surface adsorption/desorption, deriving explicit dispersion coefficients for canonical flow geometries.

Findings

Explicit dispersion coefficients for planar and cylindrical geometries.

Potential methods for measuring adsorption/desorption rates.

Application to molecular sorting using stochastic resonance.

Abstract

We use a stochastic approach to show how Taylor dispersion is affected by kinetic processes of adsorption and desorption onto surfaces. A general theory is developed, from which we derive explicitly the dispersion coefficients of canonical examples like Poiseuille flows in planar and cylindrical geometries, both in constant and sinusoidal velocity fields. These results open the way for the measurement of adsorption and desorption rate constants using stationary flows and molecular sorting using the stochastic resonance of the adsorption and desorption processes with the oscillatory velocity field.