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One-order closed model of fluctuating particle coagulation term in the Reynolds averaged general dynamic equation for nanoparticles

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Abstract

The effect of fluctuating coagulation on particle distribution in multiphase turbulence of nanoparticles was studied based on the Reynolds averaged equation of turbulence flow and the general dynamic equation of particles. A one-order closed model was proposed to relate the fluctuating coagulation term to the average particle size distribution function for closing the particle equation. The proposed model and equations were applied to a turbulent jet flow using the k-ε turbulent model and the Taylor-series expansion moment method. The results showed that there is a difference in the values of particle number density M0, geometric average diameter dpg and geometric standard deviation σg of particle diameter with and without considering fluctuating coagulation. Larger Damkohler number leads to smaller M0, higher particle polydispersity M2, larger dpg and σg. Along the x direction of the flow, M0 decreases, while M2, dpg and σg increase. From the centerline to the outer edge of the jet, M0, M2 and dpg decrease, while σg increases first and then decreases. Finally, the further research that can be carried out has been proposed.

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Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Funding

This work was supported financially by the National Natural Science Foundation of China (Grant No. 12132015, 12332015).

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Authors and Affiliations

  1. School of Media and Design, Hangzhou Dianzi University, Hangzhou, 310018, China

    Wenqian Lin

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

    Hailin Yang & Jianzhong Lin

  3. Zhejiang Provincial Engineering Research Center for the Safety of Pressure Vessel and Pipeline, Ningbo University, Ningbo, 315201, China

    Jianzhong Lin

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  1. Wenqian Lin
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  2. Hailin Yang
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Contributions

Wenqian Lin: Methodology (equal); Writing–original draft; Resources. Hailin Yang: Methodology (equal); Software. Jianzhong Lin: Supervision; review & editing.

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Correspondence to Jianzhong Lin.

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Lin, W., Yang, H. & Lin, J. One-order closed model of fluctuating particle coagulation term in the Reynolds averaged general dynamic equation for nanoparticles. J Nanopart Res 26, 111 (2024). https://doi.org/10.1007/s11051-024-06020-4

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