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Lattice Boltzmann method for microfluidics: models and applications

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Abstract

The lattice Boltzmann method (LBM) has experienced tremendous advances and has been well accepted as a useful method to simulate various fluid behaviors. For computational microfluidics, LBM may present some advantages, including the physical representation of microscopic interactions, the uniform algorithm for multiphase flows, and the easiness in dealing with complex boundary. In addition, LBM-like algorithms have been developed to solve microfluidics-related processes and phenomena, such as heat transfer, electric/magnetic field, and diffusion. This article provides a practical overview of these LBM models and implementation details for external force, initial condition, and boundary condition. Moreover, recent LBM applications in various microfluidic situations have been reviewed, including microscopic gaseous flows, surface wettability and solid–liquid interfacial slip, multiphase flows in microchannels, electrokinetic flows, interface deformation in electric/magnetic field, flows through porous structures, and biological microflows. These simulations show some examples of the capability and efficiency of LBM in computational microfluidics.

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Acknowledgments

This study was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) and the Laurentian University Research Fund (LURF). The author acknowledges the helpful discussion with Prof. Donald E. Sullivan at University of Guelph. The author also thanks the anonymous reviewers for their critical comments and constructive suggestions.

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  1. School of Engineering, Laurentian University, 935 Ramsey Lake Road, Sudbury, ON, P3E 2C6, Canada

    Junfeng Zhang

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  1. Junfeng Zhang
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Zhang, J. Lattice Boltzmann method for microfluidics: models and applications. Microfluid Nanofluid 10, 1–28 (2011). https://doi.org/10.1007/s10404-010-0624-1

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