A well-known limitation of hydrodynamic chromatography arises from the synergistic interaction between transverse diffusion and streamwise convection, which enhances axial dispersion through the Taylor-Aris mechanism. We show that a periodic sequence of slip/no-slip conditions at the channel walls (e.g., representing wall indentations hosting stable air pockets) can significantly reduce axial dispersion, thus enhancing separation performance. The theoretical/numerical analysis is based on a generalization of Brenner’s macrotransport approach to solute transport, here modified to account for the finite-size of the suspended particles. The most effective dispersion-taming outcome is observed when the alternating sequence of slip/no-slip conditions yields non-vanishing cross-sectional flow components. The combination of these components with the hindering interaction between the chan- nel boundaries and the finite-sized particles gives rise to a non-trivial solution of Brenner’s problem on the unit periodic cell, where the cross-sectional particle number density departs from the spa- tially homogeneous condition. In turn, this effect impacts upon the solution of the so-called b-field defining the large-scale dispersion tensor, with an overall decremental effect on the axial disper- sion coefficient and on the Height Equivalent of a Theoretical Plate. Published by AIP Publishing. https://doi.org/10.1063/1.5022257
Articolo selezionato come articolo d copertina di Physics of Fluids, April 2018 / Adrover, A.; Cerbelli, S.; Giona, M. - (2018).
Articolo selezionato come articolo d copertina di Physics of Fluids, April 2018
A. Adrover
Primo
;S. Cerbelli;M Giona
2018
Abstract
A well-known limitation of hydrodynamic chromatography arises from the synergistic interaction between transverse diffusion and streamwise convection, which enhances axial dispersion through the Taylor-Aris mechanism. We show that a periodic sequence of slip/no-slip conditions at the channel walls (e.g., representing wall indentations hosting stable air pockets) can significantly reduce axial dispersion, thus enhancing separation performance. The theoretical/numerical analysis is based on a generalization of Brenner’s macrotransport approach to solute transport, here modified to account for the finite-size of the suspended particles. The most effective dispersion-taming outcome is observed when the alternating sequence of slip/no-slip conditions yields non-vanishing cross-sectional flow components. The combination of these components with the hindering interaction between the chan- nel boundaries and the finite-sized particles gives rise to a non-trivial solution of Brenner’s problem on the unit periodic cell, where the cross-sectional particle number density departs from the spa- tially homogeneous condition. In turn, this effect impacts upon the solution of the so-called b-field defining the large-scale dispersion tensor, with an overall decremental effect on the axial disper- sion coefficient and on the Height Equivalent of a Theoretical Plate. Published by AIP Publishing. https://doi.org/10.1063/1.5022257I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.