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A modified lattice boltzmann method for herschel-bulkley fluids

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Abstract

As one kind of the most important non-Newtonian fluids, Herschel-Bulkley fluids have been applied in practical engineering widely. In order to improve the stability and accuracy in the simulation of Herschel-Bulkley fluids with lattice Boltzmann method (LBM), a modified lattice Boltzmann method was proposed. With Poiseuille flow as the example, the shear-thinning fluids and the shear-thickening fluids were used, respectively, to introduce the method in detail. The comparison between the velocity distributions and the analytical solutions demonstrated the feasibility of the modified method. Also the effect of the power law index, lattice nodes, and the region of the shear rate on the relative error was discussed. Then, the method was applied into the simulation of the cement paste flow in the 3D printing extruder. The streamline figure was obtained and then conducted the flow simulation by the modified method and multiple-relaxation-time lattice Boltzmann method (MRT-LBM), respectively; the comparison further proved the modified method was feasible for Herschel-Bulkley fluids.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (grant no. 51635003) and China Torch Program Industrialization Guide Project (grant no. 2014GH040527).

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, Nanjing Tech University, Nanjing, Jiangsu, 211800, People’s Republic of China

    Weiwei Wu, Xiaodiao Huang, Hong Yuan & Fei Xu

  2. School of Engineering and Information Technology, University of New South Wales, Canberra, ACT 2600, Australia

    Jingtao Ma

Authors
  1. Weiwei Wu
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  2. Xiaodiao Huang
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  3. Hong Yuan
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  4. Fei Xu
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  5. Jingtao Ma
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Correspondence to Xiaodiao Huang.

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Wu, W., Huang, X., Yuan, H. et al. A modified lattice boltzmann method for herschel-bulkley fluids. Rheol Acta 56, 369–376 (2017). https://doi.org/10.1007/s00397-017-1000-9

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  • DOI: https://doi.org/10.1007/s00397-017-1000-9

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