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Numerical Simulation and Analysis of Two-Phase Flow Around Cylinder Using Pseudo-Potential Model and Liutex Method

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Liutex and Third Generation of Vortex Identification

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 288))

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Abstract

Two-phase systems have a wide range of applications in nuclear energy, chemical industry, petroleum, refrigeration and other industrial processes. In this paper, the lattice Boltzmann method that is apt for multiphase flow simulation is adopted, and the third-generation vortex identification method Liutex that is able to distinctly identify rotational vortex is utilized to analyze the vortex field. The two-phase cross flow around columns or tube bundles is widely used in industrial equipment with heat exchange. Based on the practical engineering background, this paper presents a comparative numerical analysis on the two-phase flow around single cylinder under different Reynolds numbers and investigates the evolution of vortex field. The 2D and 3D numerical simulation results has shown the flow field, the vortex shedding pattern, as well as the drag and lift of each column. In particular, the conditions of Re = 30 and Re = 120 in 2D are calculated respectively, corresponding to the conditions of wake vortex stability and laminar vortex street. The drag and lift forces are mainly affected by continuous phase.

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Abbreviations

\({\mathbf{c}}_{\mathbf{i}}\) :

Discrete particle speed

\(f\) :

Distribution function

\({f}_{i}\) :

Particle distribution function

\({f}^{eq}\) :

Equilibrium distribution function

\({F}_{i}\) :

Discrete external force

\({F}_{\mathrm{SC}}\) :

Shan-Chen force

lu :

Lattice unit

lt :

Lattice time

LBM:

Lattice Boltzmann method

\(Q\) :

Q vortex identification

\({\varvec{R}}\) :

Liutex

Re:

Reynolds number

\({\varvec{S}}\) :

Shear

St:

Strouhal number

\(\mathbf{u}\) :

Macroscopic velocity

\(\alpha\) :

Void fraction

\(\rho\) :

Density

\(\tau\) :

Dimensionless relaxation time

\({\tau }_{c}\) :

Relaxation time

\(\upsilon\) :

Collision frequency

\(\psi\) :

Pseudo-potential function

\({\varvec{\omega}}\) :

Vorticity

\({\omega }_{i}\) :

Weight coefficient correspond with \({\mathbf{c}}_{\mathbf{i}}\)

\(\varOmega \left(f\right)\) :

Collision operator

\(\varOmega\) :

Omega vortex identification

\({\varOmega }_{R}\) :

Omega-Liutex vortex identification

c:

Continuous phase

d:

Dispersed phase

t:

Total force

\(\sigma\) :

\({\text{`}} \sigma {\text{'}}\) Component of multiphase system

D:

Drag

L:

Lift

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Author information

Authors and Affiliations

  1. Institute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Bei**g, 100084, China

    Zeliang Chen, Pengxin Chen, **aoli Huang, **aoxi Zhang, Nan Gui, **ngtuan Yang, Jiyuan Tu & Shengyao Jiang

  2. School of Engineering, RMIT University, Melbourne, VIC, 3083, Australia

    Jiyuan Tu

Authors
  1. Zeliang Chen
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  2. Pengxin Chen
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  3. **aoli Huang
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  4. **aoxi Zhang
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  5. Nan Gui
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  6. **ngtuan Yang
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  7. Jiyuan Tu
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Correspondence to Nan Gui .

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Editors and Affiliations

  1. Soochow University, Suzhou, China

    Yiqian Wang

  2. Nan**g University of Aeronautics and Astronautics, Nan**g, China

    Yisheng Gao

  3. The University of Texas at Arlington, Arlington, VA, USA

    Chaoqun Liu

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Chen, Z. et al. (2023). Numerical Simulation and Analysis of Two-Phase Flow Around Cylinder Using Pseudo-Potential Model and Liutex Method. In: Wang, Y., Gao, Y., Liu, C. (eds) Liutex and Third Generation of Vortex Identification. Springer Proceedings in Physics, vol 288. Springer, Singapore. https://doi.org/10.1007/978-981-19-8955-1_13

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