Title: Formation of Traveling Waves in Single-Solute Chromatography
Speaker: Robert De Jaco (National Institute of Standards and Technology)
Speaker's URL: https://scholar.google.com/citations?user=fSru0DIAAAAJ&hl=en
Abstract: Recent developments in materials science have led to the discovery of new materials for efficient carbon capture by adsorption or chromatography. However, industrial implementation is slow due in part to limitations in the understanding of the relationship between adsorption equilibria (a material property) and solute movement (the mechanism of separation). Current understanding is restricted to regimes where adsorption is infinitely fast, or the column is infinitely long.
In this talk, I highlight the importance of quantifying the relationship between solute movement and adsorption equilibria. Using a Galilean transformation, an asymptotic analysis in fast adsorption is employed to identify the time scale for which traveling waves are dominant. Related transformations moving at a time-dependent speed, allow me to investigate the formation of traveling waves. When the concentration inlet to the column initially at steady state is changed by a step function, a time-dependent speed cannot explain the formation of the traveling wave. When the concentration is changed in a fast, but smooth, manner, however, the time-dependence of the velocity allows for the initial condition to be satisfied. A numerical approach sheds light on the formation of traveling waves from a step change in concentration. Finally, I highlight a few additional aspects of solute movement that are not fully understood. This presentation describes joint work with Anthony Kearsley.
URL associated with Seminar: https://research.math.osu.edu/pde/
