Hello everyone,
I’ve recently started my master’s thesis project, which focuses on numerical methods for modeling radial flow chromatography. As part of the initial phase, I’m conducting a literature review to assess the current state of the art—specifically regarding the mathematical modeling and numerical treatment of radial geometries.
Here’s a brief excerpt from my review so far:
The most comprehensive treatment of radial flow chromatography in cylindrical coordinates is provided by Huang et al. 1988, who derive analytical solutions for impulse and frontal injection under both linear equilibrium and kinetic adsorption models. More recent numerical work tends to focus on axial geometries or general PDE solvers. Zhang et al. 2005 further support the existence of an analytical framework in radial geometry by employing the method of lines to validate a model with linear binding and Bessel-based solutions under ideal conditions. Some analogies can be drawn from radial groundwater flow, which involves similar transport equations but often assumes simplified flow conditions.
I’m reaching out to ask if anyone could recommend literature that helps address the following:
- Are you aware of any papers, theses, or models that treat radial flow chromatography, either analytically or numerically?
- Have you encountered radial-coordinate models (especially with spatially varying velocity fields) implemented in PDE solvers?
Any leads, references, or insights would be greatly appreciated!
Thanks in advance!