On the temperature equation in a phase change pseudopotential lattice Boltzmann model

When boiling occurs in a liquid flow field, the phenomenon is known as forced-convection boiling. We numerically investigate such a boiling system on a cylinder in a flow at saturated conditions. To deal with the complicated liquid-vapor phase-change phenomenon, we develop a numerical scheme based on the pseudopotential lattice Boltzmann method (LBM). The collision stage is performed in the space of central moments (CMs) to enhance numerical stability for high Reynolds numbers. The adopted forcing scheme, consistent with the CM-based LBM, leads to a concise yet robust algorithm. Furthermore, additional terms required to ensure thermodynamic consistency are derived in a CM framework. The effectiveness of the present scheme is successfully tested against a series of boiling processes, including nucleation, growth, and departure of a vapor bubble for Reynolds numbers varying between 30 and 30 000. Our CM-based LBM can reproduce all the boiling regimes, i.e., nucleate boiling, transition boiling, and film boiling, without any artificial input such as initial vapor phase. We find that the typical boiling curve, also known as the Nukiyama curve, appears even though the focused system is not the pool boiling but the forced-convection system. Also, our simulations support experimental observations of intermittent direct solid-liquid contact even in the film-boiling regime. Finally, we provide quantitative comparison with the semi-empirical correlations for the forced-convection film boiling on a cylinder on the Nu-Ja diagram.

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“…Details of the derivation can be found in the textbook; 90 discussion of the energy equation for phase-change LBMs can be found in Ref. 91.…”

Section: Energy Equation and Non-ideal Eosmentioning

confidence: 99%

Lattice Boltzmann modeling and simulation of forced-convection boiling on a cylinder

et al. 2021

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Lattice Boltzmann Study on Influence of Gravitational Acceleration on Pool Nucleate Boiling Heat Transfer

Feng

Zhao

et al. 2021

Microgravity Sci. Technol.

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Pseudopotential Lattice Boltzmann Method for boiling heat transfer: A mesh refinement procedure

Jaramillo

Mapelli

Cabezas‐Gómez

2022

Applied Thermal Engineering

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On the temperature equation in a phase change pseudopotential lattice Boltzmann model

Cited by 9 publications

References 21 publications

Lattice Boltzmann modeling and simulation of forced-convection boiling on a cylinder

Lattice Boltzmann modeling and simulation of forced-convection boiling on a cylinder

Lattice Boltzmann Study on Influence of Gravitational Acceleration on Pool Nucleate Boiling Heat Transfer

Pseudopotential Lattice Boltzmann Method for boiling heat transfer: A mesh refinement procedure

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