Research Papers: Multiphase Flows

The Mechanism of Size-Based Particle Separation by Dielectrophoresis in the Viscoelastic Flows

[+] Author and Article Information
Teng Zhou

Mechanical and Electrical Engineering College,
Hainan University,
Haikou 570228, Hainan Province, China
e-mail: zhouteng@hainu.edu.cn

Yongbo Deng

Changchun Institute of Optics, Fine Mechanics
and Physics (CIOMP),
Chinese Academy of Sciences,
Changchun 130033, Jilin, China

Hongwei Zhao

Department of Environmental Science,
Hainan University,
Haikou 570228, Hainan Province, China

Xianman Zhang, Liuyong Shi

Mechanical and Electrical Engineering College,
Hainan University,
Haikou 570228, Hainan Province, China

Sang Woo Joo

School of Mechanical Engineering,
Yeungnam University,
Gyongsan 712-719, South Korea
e-mail: swjoo@yu.ac.kr

1Corresponding authors.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received October 11, 2017; final manuscript received March 7, 2018; published online May 2, 2018. Assoc. Editor: Shizhi Qian.

J. Fluids Eng 140(9), 091302 (May 02, 2018) (6 pages) Paper No: FE-17-1658; doi: 10.1115/1.4039709 History: Received October 11, 2017; Revised March 07, 2018

Viscoelastic solution is encountered extensively in microfluidics. In this work, the particle movement of the viscoelastic flow in the contraction–expansion channel is demonstrated. The fluid is described by the Oldroyd-B model, and the particle is driven by dielectrophoretic (DEP) forces induced by the applied electric field. A time-dependent multiphysics numerical model with the thin electric double layer (EDL) assumption was developed, in which the Oldroyd-B viscoelastic fluid flow field, the electric field, and the movement of finite-size particles are solved simultaneously by an arbitrary Lagrangian–Eulerian (ALE) numerical method. By the numerically validated ALE method, the trajectories of particle with different sizes were obtained for the fluid with the Weissenberg number (Wi) of 1 and 0, which can be regarded as the Newtonian fluid. The trajectory in the Oldroyd-B flow with Wi = 1 is compared with that in the Newtonian fluid. Also, trajectories for different particles with different particle sizes moving in the flow with Wi = 1 are compared, which proves that the contraction–expansion channel can also be used for particle separation in the viscoelastic flow. The above results for this work provide the physical insight into the particle movement in the flow of viscous and elastic features.

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Grahic Jump Location
Fig. 2

(a) The drag force as the function of the Weissenberg number for the flow past a circular cylinder. The triangle symbols and solid line represent the simulation solution of Behr et al. [27] and the numerical results from the present model, respectively. (b) Velocity of a sphere particle moving along the cylindrical tube axis as a function of the ratio between the sphere diameter d and the channel diameter a. The solid line and triangle symbols, respectively, represent the analytical solution of Keh and Anderson [28] and our present model numerical results.

Grahic Jump Location
Fig. 1

Sketch of the electrokinetic motion for a spherical particle of radius rp and zeta potential ζp in a converging–diverging microchannel with zeta potential ζw. Here, w is the width of the main channel, and the widths of channel with outlet/inlet AJ and FE are same; b is the width of the throat; dp is the distance between the nearest channel wall and the center of the spherical particle.

Grahic Jump Location
Fig. 3

Particle trajectories in the non-Newtonian flow with Wi = 0 and 1, while the non-Newtonian flow with Wi = 0 can be regarded as Newtonian flow. The nondimensional radiuses of particle are following: (a) rp*=1, (b) rp*=0.8, (c) rp*=0.6, (d) rp*=0.4, the length of axis for each subfigure is identical.

Grahic Jump Location
Fig. 4

The hydrodynamic force of particle surface calculated by integration of hydrodynamic stress tensor of the interaction face, which have been normalized by the maximum of absolute value of each component: (a) x component, in the main flow direction and (b) y component, in the lateral migration direction

Grahic Jump Location
Fig. 5

Particle trajectories in the non-Newtonian flow with Wi = 1. The nondimensional radiuses of particle rp* for each trajectory are 0.4, 0.6, 0.8, and 1, respectively.




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