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Stability condition of self-organizing staggered particle trains in channel flow

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Abstract

The inertial focusing of particles in channel flow of a Newtonian fluid is studied using the lattice Boltzmann method. The effects of Reynolds number (Re) and blockage ratio (k) on the stability condition of self-organizing staggered particle trains are explored. The results show that, for staggered particle pairs, the particles will move close to each other with a damped oscillatory trajectory and form a steady horizontal spacing eventually. For single-line particle pairs, the inter-particle spacing increases continuously to a larger value for further downstream. Two lines of 12 particles will self-organize the staggered particle trains. The formation of stable staggered particle trains is dependent on Re and k. Particles with low k in the staggered particle trains are more likely to be unstable or fluctuate within a certain range when Re is larger than a critical value. As k increases, the critical values of Re corresponding to the inter-particle spacing with a stable value or a certain range of fluctuation are also increased. The mean particle spacing decreases with increasing k and decreasing Re, and the blockage ratio k has a greater effect on the particle spacing than Reynolds number Re.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China with Grant nos. 91852102 and 11632016.

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Authors and Affiliations

  1. Department of Mechanics, State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, 310027, China

    Xiao Hu, Jianzhong Lin, Dongmei Chen & Xiaoke Ku

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  1. Xiao Hu
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  2. Jianzhong Lin
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  3. Dongmei Chen
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  4. Xiaoke Ku
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Correspondence to Jianzhong Lin.

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Hu, X., Lin, J., Chen, D. et al. Stability condition of self-organizing staggered particle trains in channel flow. Microfluid Nanofluid 24, 25 (2020). https://doi.org/10.1007/s10404-020-2329-4

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  • DOI: https://doi.org/10.1007/s10404-020-2329-4

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