Inertial particle dynamics in the presence of a secondary flow

Garcia, Mike; Pennathur, Sumita

doi:10.1103/physrevfluids.2.042201

Cited by 6 publications

(14 citation statements)

References 21 publications

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“…Finally, equilibrium position bifurcations in shear flow present an opportunity for novel particle-particle separation techniques. Many current size-based inertial lift separation devices use pressure-driven flows to force particles to offcenter equilibrium positions, which can be weakly dependent on Re p and κ [14,33]. For example, Kuntaegowdanahalli et al [34] designed a device to segregate two neural stem cells, SH-SY5Y neuroblastoma (a = 8 μm) and C6 glioma cells (a = 4 μm); the total separation of these cells is necessary for properly identifying their individual functions and applications.…”

Section: Discussionmentioning

confidence: 99%

“…Specifically, they calculated particle trajectories and equilibrium positions as functions of the dimensionless permeate velocity. Garcia et al [14] also considered the inertial lift on particles in the presence of a permeate flow via numerical computations. Harding et al [15] developed a model for inertial lift on spheres in curved ducts to predict the dependence of equilibrium positions of neutrally buoyant particles on channel bend radius.…”

Section: Introductionmentioning

confidence: 99%

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Inertial bifurcation of the equilibrium position of a neutrally-buoyant circular cylinder in shear flow between parallel walls

Fox

Schneider

Khair

2020

Phys. Rev. Research

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The motion of a neutrally buoyant, rigid circular cylinder in simple shear flow of a Newtonian fluid between parallel walls is calculated for various particle Reynolds numbers, Re p = Ga 2 /ν, via the lattice Boltzmann method. Here, G is the velocity gradient of the ambient shear, a is the radius of the particle cross section, and ν is the kinematic viscosity of the fluid. An inertial lift force perpendicular to the ambient shear has a single zero crossing at the center of the channel below a critical Re p , corresponding to a single transverse equilibrium position. Above this critical Re p , the equilibrium position undergoes a pitchfork bifurcation, with an unstable zero-force equilibrium at the center and two equidistant stable equilibria off center. The trajectories of a force-and torque-free particle reach the stable equilibria independently of the initial particle position, with the exception of the aforementioned unstable equilibria. The critical Re p increases with increasing confinement ratio κ (i.e., the ratio of the radius of the particle cross section to channel width) and occurs below the transition to unsteady flow. Finally, we suggest how this inertial bifurcation could be used to develop novel particle separation techniques.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Inertial bifurcation of the equilibrium position of a neutrally-buoyant circular cylinder in shear flow between parallel walls

Fox

Schneider

Khair

2020

Phys. Rev. Research

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“…Since the in-plane equilibria are symmetric about the centreline, we build a trajectory from one in-plane equlibria at various axial locations along the length of the channel to compare with our LM. More details on the experiments can be found in (Garcia & Pennathur 2017). Figure 8c shows four experimental trajectories of 10 µm particles.…”

Section: Methodsmentioning

confidence: 99%

“…Understanding particle transport and localisation in porous channels, especially at moderate Reynolds numbers, is relevant for many applications ranging from water reclamation to biological studies. Recently, researchers experimentally demonstrated that the interplay between axial and permeate flow in a porous microchannel results in a wide range of focussing positions of finite sized particles (Garcia & Pennathur 2017). We numerically explore this interplay by computing the lateral forces on a neutrally buoyant spherical particle that is subject to both inertial and permeate forces over a range of experimentally relevant particle sizes and channel Reynolds numbers (Re).…”

mentioning

confidence: 99%

A linearised model for calculating inertial forces on a particle in the presence of a permeate flow

2018

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“…A promising direction is also to induce an additional force by exploiting porous channel walls. With such walls the drag to permeate flow could be used to control focusing positions of particles [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Inertial migration of neutrally buoyant particles in superhydrophobic channels

et al. 2020

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At finite Reynolds numbers particles migrate across flow streamlines to their equilibrium positions in microchannels. Such a migration is attributed to an inertial lift force, and it is well-known that the equilibrium location of neutrally-buoyant particles is determined only by their size and the channel Reynolds number. Here we demonstrate that the decoration of a bottom wall of the channel by superhydrophobic grooves provides additional possibilities for manipulation of neutrally-buoyant particles. It is shown that the effective anisotropic hydrodynamic slip of such a bottom wall can be readily used to alter the equilibrium positions of particles and to generate their motion transverse to the pressure gradient. These results may guide the design of novel inertial microfluidic devices for efficient sorting of neutrally-buoyant microparticles by their size.

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Inertial particle dynamics in the presence of a secondary flow

Cited by 6 publications

References 21 publications

Inertial bifurcation of the equilibrium position of a neutrally-buoyant circular cylinder in shear flow between parallel walls

Inertial bifurcation of the equilibrium position of a neutrally-buoyant circular cylinder in shear flow between parallel walls

A linearised model for calculating inertial forces on a particle in the presence of a permeate flow

Inertial migration of neutrally buoyant particles in superhydrophobic channels

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