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Dissipative particle dynamics simulation of flow through periodic arrays of circular micropillar

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Abstract

Flow through arrays of micropillar embedded inside microfluidic chip systems is important for various microfluidic devices. It is critical to accurately predict the mass flow rate through pillar arrays based on the pillar design. This work presents a dissipative particle dynamics (DPD) model to simulate a problem of flow across periodic arrays of circular micropillar and investigates the permeability of two types of micropillar arrays. The flow fields including horizontal and vertical velocity fields, the number density field, and the streamline of the flow are analyzed. The predicted solid volumes by the presented DPD simulation of both types of arrays are quite close to the actual counterparts. These quantitative agreements show usefulness and effectiveness of the DPD model in simulating arrays of micropillar. By comparing two types of micropillar arrangement patterns, we find that the arrangement pattern of micropillar does not have significant influence on the permeability of the array.

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Abbreviations

r i :

position of DPD particle i

v i :

velocity of DPD particle i

m i :

mass of DPD particle i

f i :

total force acting on particle i

f int i :

inter-particle force acting on particle i

f ext i :

external force acting on particle i

F C ij :

conservative force on particle i due to j

F D ij :

dissipative force on particle i due to j

F R ij :

random force on particle i due to j

w D(r ij ):

weight function of F D ij

w R(r ij ):

weight function of F R ij

v ij :

relative velocity between particles i and j

ξ ij :

random variable with Gaussian statistics

T :

absolute temperature

k B :

Boltzmann constant

r d :

cut-off radius for F D ij and F R ij

s :

exponent of weighting function w R(r)

ρ :

density of fluid

μ :

viscosity of fluid

a ij :

repulsion parameter between particles i and j

r ij :

relative position between particles i and j

r ij :

distance between particles i and j

\(\hat r_{ij}\) :

unit vector directed from particle j to i

w C(r ij ):

conservative weight function

r c :

cut-off radius for F C ij

γ:

amplitude of F D ij

σ :

amplitude of F R ij

d :

pillar diameter

v :

flow velocity relative to object

A :

area

C D :

drag coefficient

Re :

Reynolds number

F D :

dragforce

h :

height of channel

l :

length of channel

φ :

solid volume fraction

K :

permeability

g :

body force exerting on every DPD particle

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Author information

Authors and Affiliations

  1. Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

    Lüwen Zhou

  2. Cancer Institute and Hospital, Chinese Academy of Medical Sciences, Beijing, 100021, China

    Yuqian Zhang

  3. Beijing Computational Science Research Center, Beijing, 100084, China

    Xiaolong Deng

  4. College of Engineering, Peking University, Beijing, 100871, China

    Moubin Liu

Authors
  1. Lüwen Zhou
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  2. Yuqian Zhang
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  3. Xiaolong Deng
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  4. Moubin Liu
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Corresponding author

Correspondence to Moubin Liu.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 31370953, 10942004, and 91230203)

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Zhou, L., Zhang, Y., Deng, X. et al. Dissipative particle dynamics simulation of flow through periodic arrays of circular micropillar. Appl. Math. Mech.-Engl. Ed. 37, 1431–1440 (2016). https://doi.org/10.1007/s10483-016-2091-9

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  • DOI: https://doi.org/10.1007/s10483-016-2091-9

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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