Institute of Fundamental Technological Research
Polish Academy of Sciences

Partners

M. Martin

CNRS (FR)


Recent publications
1.  Pasol L., Martin M., Ekiel-Jeżewska M.L., Wajnryb E., Bławzdziewicz J., Feuillebois F., Corrigendum to ‘‘Motion of a sphere parallel to plane walls in a Poiseuille flow. Application to field-flow fractionation and hydrodynamic chromatography’’, CHEMICAL ENGINEERING SCIENCE, ISSN: 0009-2509, DOI: 10.1016/j.ces.2012.12.020, Vol.90, pp.51-52, 2013

Abstract:
The authors report that there is a confusion in the definition of the friction factors, pffp, pccp in Pasol et al. (2011).

Keywords:
friction factors, Poiseuille flow, spherical particle, field-flow fractionation, hydrodynamic chromatotography

Affiliations:
Pasol L. - Université Pierre et Marie Curie (FR)
Martin M. - CNRS (FR)
Ekiel-Jeżewska M.L. - IPPT PAN
Wajnryb E. - IPPT PAN
Bławzdziewicz J. - Texas Tech University (US)
Feuillebois F. - University Paris-Saclay - LIMSI laboratory (FR)
2.  Pasol L., Martin M., Ekiel-Jeżewska M.L., Wajnryb E., Bławzdziewicz J., Feuillebois F., Motion of a sphere parallel to plane walls in a Poiseuille flow. Application to field-flow fractionation and hydrodynamic chromatography, CHEMICAL ENGINEERING SCIENCE, ISSN: 0009-2509, DOI: 10.1016/j.ces.2011.05.033, Vol.66, pp.4078-4089, 2011

Abstract:
The motion of a solid spherical particle entrained in a Poiseuille flow between parallel plane walls has various applications to separation methods, like field-flow fractionation and hydrodynamic chromatography. Various handy formulae are presented here to describe the particle motion, with these applications in mind. Based on the assumption of a low Reynolds number, the multipole expansion method coupled to a Cartesian representation is applied to provide accurate results for various friction factors in the motion of a solid spherical particle embedded in a viscous fluid between parallel planes. Accurate results for the velocity of a freely moving solid spherical particle are then obtained. These data are fitted so as to obtain handy formulae, providing e.g. the velocity of the freely moving sphere with a 1% error. For cases where the interaction with a single wall is sufficient, simpler fitting formulae are proposed, based on earlier results using the bispherical coordinates method. It appears that the formulae considering only the interaction with a nearest wall are applicable for a surprisingly wide range of particle positions and channel widths. As an example of application, it is shown how in hydrodynamic chromatography earlier models ignoring the particle-wall hydrodynamic interactions fail to predict the proper choice of channel width for a selective separation. The presented formulae may also be used for modeling the transport of macromolecular or colloidal objects in microfluidic systems.

Keywords:
Creeping flow, Particle, Suspension, Interaction with walls, Separations, Selectivity

Affiliations:
Pasol L. - Université Pierre et Marie Curie (FR)
Martin M. - CNRS (FR)
Ekiel-Jeżewska M.L. - IPPT PAN
Wajnryb E. - IPPT PAN
Bławzdziewicz J. - Texas Tech University (US)
Feuillebois F. - University Paris-Saclay - LIMSI laboratory (FR)

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