Please use this identifier to cite or link to this item:
Scopus Web of Science® Altmetric
Type: Journal article
Title: Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts
Author: Valani, R.N.
Harding, B.
Stokes, Y.M.
Citation: SIAM Journal on Applied Dynamical Systems, 2022; 21(4):2371-2392
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Issue Date: 2022
ISSN: 1536-0040
Statement of
Rahil N. Valani, Brendan Harding, and Yvonne M. Stokes
Abstract: Particles suspended in fluid flow through a curved duct focus to stable equilibrium positions in the duct cross-section due to the balance of two dominant forces: (i) inertial lift force, arising from the inertia of the fluid, and (ii) secondary drag force, resulting from cross-sectional vortices induced by the curvature of the duct. Such particle focusing is exploited in various medical and industrial technologies aimed at separating particles by size. Using the theoretical model developed by Harding, Stokes, and Bertozzi [J. Fluid Mech., 875 (2019), pp. 1–43], we numerically investigate the dynamics of neutrally buoyant particles in fluid flow through curved ducts with rectangular cross-sections at low flow rates. We explore the rich bifurcations that take place in the particle equilibria as a function of three system parameters—particle size, duct bend radius, and aspect ratio of the cross-section. We also explore the transient dynamics of particles as they focus to their equilibria by delineating the effects of these three parameters, as well as the initial location of the particle inside the cross-section, on the focusing dynamics.
Keywords: inertial particle focusing; inertial migration; inertial microfluidics; inertial lift force; bifurcations
Rights: © 2022 Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1451919
Grant ID:
Appears in Collections:Mathematical Sciences publications

Files in This Item:
File Description SizeFormat 
hdl_137128.pdfAccepted version14.09 MBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.