Please use this identifier to cite or link to this item:
Scopus Web of Science® Altmetric
Type: Journal article
Title: Effect of inertial lift on a spherical particle suspended in flow through a curved duct
Author: Harding, T.
Stokes, Y.M.
Bertozzi, A.L.
Citation: Journal of Fluid Mechanics, 2019; 875:1-43
Publisher: Cambridge University Press (CUP)
Issue Date: 2019
ISSN: 0022-1120
Statement of
Brendan Harding, Yvonne M. Stokes and Andrea L. Bertozzi
Abstract: We develop a model of the forces on a spherical particle suspended in flow through a curved duct under the assumption that the particle Reynolds number is small. This extends an asymptotic model of inertial lift force previously developed to study inertial migration in straight ducts. Of particular interest is the existence and location of stable equilibria within the cross-sectional plane towards which particles migrates. The Navier-Stokes equations determine the hydrodynamic forces acting on a particle. A leading order model of the forces within the cross-sectional plane is obtained through the use of a rotating coordinate system and a perturbation expansion in the particle Reynolds number of the disturbance flow. We predict the behaviour of neutrally buoyant particles at low flow rates and examine the variation in focusing position with respect to particle size and bend radius, independent of the flow rate. In this regime, the lateral focusing position of particles approximately collapses with respect to a dimensionless parameter dependent on three length scales, specifically the particle radius, duct height, and duct bend radius. Additionally, a trapezoidal shaped cross-section is considered in order to demonstrate how changes in the cross-section design influence the dynamics of particles.
Keywords: Microfluidics
particle/fluid flows
Rights: © Cambridge University Press 2019
DOI: 10.1017/jfm.2019.323
Grant ID:
Published version:
Appears in Collections:Aurora harvest 4
Mathematical Sciences publications

Files in This Item:
File Description SizeFormat 
hdl_121434.pdfAccepted version6.77 MBAdobe PDFView/Open

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