Bulletin of the American Physical Society
74th Annual Meeting of the APS Division of Fluid Dynamics
Volume 66, Number 17
Sunday–Tuesday, November 21–23, 2021; Phoenix Convention Center, Phoenix, Arizona
Session T20: Microscale Flows: Mixing and Chemical Reactions & Microscale Flows: Non-Newtonian Fluids
12:40 PM–3:16 PM,
Tuesday, November 23, 2021
Room: North 221 AB
Chair: Vivek Narsimhan, Purdue
Abstract: T20.00006 : Experimental and theoretical studies of cross-stream migration of non-spherical particles in a quadratic flow of viscoelastic fluid*
1:45 PM–1:58 PM
Presenter:
Cheng-Wei Tai
Authors:
Cheng-Wei Tai
Shiyan WANG
(Purdue University)
Vivek Narsimhan
(Purdue University)
In the first part of this work, we developed a theory based on the general second-order fluid model under the limit of weak viscoelasticity (Wi <<1) and solve the polymer force and torque on a non-spherical particle when subject to an arbitrary flow up to quadratic order. For spheroidal particles, we further investigate the combined effect of fluid normal stress ratio (α = ψ2/ψ1), particle geometry and orientation behavior on the overall particle migration trajectory in a quadratic flow. Particles in general gain faster migration speed with the increasing magnitude of α. In addition, the length the particle spans in the shear gradient direction dominates their migration speed. Prolate and oblate particle shows distinct orientation behavior, which leads to difference in overall migration speed towards the flow center.
In the second part of this work, we experimentally verify the theory in a microfluidic system. A suspension of spherical, prolate and oblate polystyrene particle in 8% polyvinylpyrrolidone solution is flowed in a straight glass capillary channel at the rate of vanishing inertia and weak viscoelasticity. We estimate the average particle migration speed by the particle distribution at various distances from the channel inlet. The results show a good agreement with the theory prediction at the corresponding conditions. We also comment on the particle orientation behavior in the microfluidic system.
*We acknowledge the financial support from ACS Petroleum Research Fund (ACS PRF 61266-DNI9)
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