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Numerical Study of the Relationship between Apparent Slip Length and Contact Angle by Lattice Boltzmann Method

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Abstract

The apparent slip between solid wall and liquid is studied by using the Lattice Boltzmann Method (LBM) and the Shan-Chen multiphase model in this paper. With a no-slip bounce-back scheme applied to the interface, flow regimes under different wall wettabilities are investigated. Because of the wall wettability, liquid apparent slip is observed. Slip lengths for different wall wettabilities are found to collapse nearly onto a single curve as a function of the static contact angle, and thereby a relationship between apparent slip length and contact angle is suggested. Our results also show that the wall wettability leads to the formation of a low-density layer between solid wall and liquid, which produced apparent slip in the micro-scale.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics and Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai, 200072, China

    Ren-liang Zhang, Qin-feng Di, Xin-liang Wang, Wei-peng Ding & Wei Gong

Authors
  1. Ren-liang Zhang
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  2. Qin-feng Di
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  3. Xin-liang Wang
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  4. Wei-peng Ding
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  5. Wei Gong
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Corresponding author

Correspondence to Qin-feng Di.

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 50874071), the National High Technology Research and Development of China (863 Program, Grant No. 2008AA06Z201), the Key Program of Science and Technology Commission of Shanghai Municipality (Grant No. 071605102) and the Leading Talent Funding of Shanghai.

Biography: ZHANG Ren-liang (1982-), Male, Ph. D. Candidate

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Zhang, Rl., Di, Qf., Wang, Xl. et al. Numerical Study of the Relationship between Apparent Slip Length and Contact Angle by Lattice Boltzmann Method. J Hydrodyn 24, 535–540 (2012). https://doi.org/10.1016/S1001-6058(11)60275-8

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  • DOI: https://doi.org/10.1016/S1001-6058(11)60275-8

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