The equivalence between parabolic transport equations for solute concentrations and stochastic dynamics for solute particle motion represents one of the most fertile correspondences in statistical physics originating from the work by Einstein on Brownian motion. In this article, we analyze the problems and the peculiarities of the stochastic equations of motion in microfluidic confined systems. The presence of solid boundaries leads to tensorial hydrodynamic coefficients (hydrodynamic resistance matrix) that depend also on the particle position. Singularity issues, originating from the non-integrable divergence of the entries of the resistance matrix near a solid no-slip boundary, determine some mass-transport paradoxes whenever surface phenomena, such as surface chemical reactions at the walls, are considered. These problems can be overcome by considering the occurrence of non vanishing slippage. Added-mass effects and the influence of fluid inertia in confined geometries are also briefly addressed.

Stochastic modeling of particle transport in confined geometries. Problems and peculiarities / Procopio, Giuseppe; Giona, Massimiliano. - In: FLUIDS. - ISSN 2311-5521. - 7:3(2022). [10.3390/fluids7030105]

Stochastic modeling of particle transport in confined geometries. Problems and peculiarities

Procopio, Giuseppe;Giona, Massimiliano
2022

Abstract

The equivalence between parabolic transport equations for solute concentrations and stochastic dynamics for solute particle motion represents one of the most fertile correspondences in statistical physics originating from the work by Einstein on Brownian motion. In this article, we analyze the problems and the peculiarities of the stochastic equations of motion in microfluidic confined systems. The presence of solid boundaries leads to tensorial hydrodynamic coefficients (hydrodynamic resistance matrix) that depend also on the particle position. Singularity issues, originating from the non-integrable divergence of the entries of the resistance matrix near a solid no-slip boundary, determine some mass-transport paradoxes whenever surface phenomena, such as surface chemical reactions at the walls, are considered. These problems can be overcome by considering the occurrence of non vanishing slippage. Added-mass effects and the influence of fluid inertia in confined geometries are also briefly addressed.
2022
microfluidics; stochastic models; confined geometries; slip flows; Langevin equations
01 Pubblicazione su rivista::01a Articolo in rivista
Stochastic modeling of particle transport in confined geometries. Problems and peculiarities / Procopio, Giuseppe; Giona, Massimiliano. - In: FLUIDS. - ISSN 2311-5521. - 7:3(2022). [10.3390/fluids7030105]
File allegati a questo prodotto
File Dimensione Formato  
Procopio_Stochastic-modeling-particle_2022.pdf

accesso aperto

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Creative commons
Dimensione 593.46 kB
Formato Adobe PDF
593.46 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1620522
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact