Abstract
The advection–diffusion–Langmuir adsorption processes of a liquid solution, colloid, or suspension occur in many biomedical and chemical engineering fields. The dynamics of the system can be described by the so-called advection–diffusion–reaction (ADR) equations and are greatly influenced by five nondimensional numbers. Up to now, cases over a wider range of parameters have not been thoroughly studied, and the quantitative dependence of the system dynamics on the parameters remains unclear. In this study, we systematically solve the ADR equations in two-dimensional plane Poiseuille flows for cases with selected values of parameters by the finite difference method. We identify two different regimes in terms of the distribution of the maximum adsorption flux and discuss the dominant mechanism of mass transfer and the influences of the nondimensional parameters in each regime. We then propose analytical models to describe the influences of specific parameters on the adsorption equilibrium time. The results of this research may provide a convenient method to identify the dominant processes in the advection–diffusion–Langmuir adsorption system in future studies.
Funder
Beijing Municipal Natural Science Foundation
National Natural Science Foundation of China
State Key Laboratory of Hydroscience and Engineering
China Postdoctoral Science Foundation
Education Department of Henan Province
Subject
Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering