Kinetic modeling of multiphase flow based on simplified Enskog equation

doi:10.1007/s11467-020-1014-0

Front. Phys.

2020, Vol. 15

Issue (6) : 62503 https://doi.org/10.1007/s11467-020-1014-0

RESEARCH ARTICLE

Kinetic modeling of multiphase flow based on simplified Enskog equation

Yu-Dong Zhang¹, Ai-Guo Xu^2,³(

), Jing-Jiang Qiu¹, Hong-Tao Wei¹, Zung-Hang Wei¹(

)

¹. School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou 450001, China
². Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-26, Beijing 100088, China
³. Center for Applied Physics and Technology, MOE Key Center for High Energy Density Physics Simulations, College of Engineering, Peking University, Beijing 100871, China

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Abstract

A new kinetic model for multiphase flow was presented under the framework of the discrete Boltzmann method (DBM). Significantly different from the previous DBM, a bottom-up approach was adopted in this model. The effects of molecular size and repulsion potential were described by the Enskog collision model; the attraction potential was obtained through the mean-field approximation method. The molecular interactions, which result in the non-ideal equation of state and surface tension, were directly introduced as an external force term. Several typical benchmark problems, including Couette flow, two-phase coexistence curve, the Laplace law, phase separation, and the collision of two droplets, were simulated to verify the model. Especially, for two types of droplet collisions, the strengths of two non-equilibrium effects, $D ¯ 2 *$ and $D ¯ 3 *$ , defined through the second and third order non-conserved kinetic moments of $(f − f e q)$ , are comparatively investigated, where $f (f e q)$ is the (equilibrium) distribution function. It is interesting to find that during the collision process, $D ¯ 2 *$ is always significantly larger than $D ¯ 3 *$ , $D ¯ 2 *$ can be used to identify the different stages of the collision process and to distinguish different types of collisions. The modeling method can be directly extended to a higher-order model for the case where the non-equilibrium effect is strong, and the linear constitutive law of viscous stress is no longer valid.

Keywords multiphase flow discrete Boltzmann method Enskog equation non-equilibrium characteristics

Corresponding Author(s): Ai-Guo Xu,Zung-Hang Wei

Just Accepted Date: 29 September 2020 Issue Date: 03 November 2020

Cite this article:

Yu-Dong Zhang,Ai-Guo Xu,Jing-Jiang Qiu, et al. Kinetic modeling of multiphase flow based on simplified Enskog equation[J]. Front. Phys. , 2020, 15(6): 62503.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-020-1014-0
https://academic.hep.com.cn/fop/EN/Y2020/V15/I6/62503

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[1]	Yan-Biao Gan, Ai-Guo Xu, Guang-Cai Zhang, Chuan-Dong Lin, Hui-Lin Lai, Zhi-Peng Liu. Nonequilibrium and morphological characterizations of Kelvin–Helmholtz instability in compressible flows[J]. Front. Phys. , 2019, 14(4): 43602-.

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