Inertial migration of rigid spherical particles in Poiseuille flow

By Jean-Philippe Matas, Jeffrey F. Morris, É. Guazzelli. Journal of Fluid Mechanics, 2004

493 citations recorded by the source corpus.

An experimental study of the migration of dilute suspensions of particles in Poiseuille flow at Reynolds numbers $\hbox{\it Re}\,{=}\,67\hbox{--}1700$ was performed, with a few experiments performed at $\hbox{\it Re}$ up to 2400. The particles used in the majority of the experiments were neutrally buoyant spheres with diameters $d$ yielding a ratio of pipe to particle diameter in the range $D/d \,{=}\, 8\hbox{--}42$. The volume fraction of solids was less than 1% in all cases studied. The results of G. Segré & A. Silberberg (J. Fluid Mech. 14, 136, 1962) have been extended to show that the tubular pinch effect in which particles accumulate on a narrow annulus is moved toward the wall as $\hbox{\it Re}$ increases. A careful comparison with asymptotic theory for Poiseuille flow in a channel was performed. Another inner annulus closer to the centre, and not predicted by this asymptotic theory, was observed at elevated $\hbox{\it Re}$. As $\hbox{\it Re}$ is increased, the distribution of particles over the cross-section of the tube at the measurement location, lying at a distance $L \doteq 310 D$ from the entrance, changes from one centred at the annulus predicted by the theory to one with the particles primarily on the inner annulus. The case of slightly non-neutrally buoyant particles was also investigated. A particle trajectory simulation based on asymptotic theory was performed to facilitate the comparison of theory and the experimental observations.

Subfields: Biomedical Engineering, Computational Mechanics, Ocean Engineering

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Citations in the corpus

Inertial microfluidics for continuous particle filtration and extraction (2009, background): “The opposing lift forces (FIL and FWL) are dependent on the particle diameter to channel diameter ratio (ap/D), and dominate for ap/D C 0.07 causing particles to equilibrate *0.2D away from channel walls (Segre and Silberberg 1961, 1962; Matas et al. 2004a, b, c ;D i Carlo et al. 2007; Hampton et ”
Lateral force on a rigid sphere in large-inertia laminar pipe flow (2009, methodology): “The question raised by Matas et al. (2004) was whether this discrepancy between theory and experiment with respect to the existence of the inner annulus is due to the finite particle size (and hence the finiteness of the particle Reynolds number) in the experiment or to the pipe geometry.”