On equations of state in pseudo-potential multiphase lattice Boltzmann model with large density ratio

Hu, Anjie; Li, Longjian; Chen, Sixu; Liao, Quan; Zeng, Jianbang

doi:10.1016/j.ijheatmasstransfer.2013.08.005

Cited by 69 publications

(41 citation statements)

References 14 publications

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“…Following similar principal, Anjie Hu et al [6] investigated the effect of reduced parameter on spurious current and surface tension. In this approach, the pressure term can be modified as

p' = k' p = k' [\frac{ρ R T}{1 - b ρ} - \frac{a ρ^{2} ε (T)}{1 + 2 b ρ - b^{2} ρ^{2}}]

…”

Section: Model Validationmentioning

confidence: 99%

“…The value of reduced parameter does not influence the Maxwell construction of equations of state [6]. It should be noted that the introduced parameter effectively reduces spurious currents and enable us to simulate liquid-vapor density ratio as high as 10 9 when k ′ = 0.01 [6]. The temperature was fixed in these studies as opposed to our case where we plan to use thermal LBM to calculated temperature.…”

Section: Model Validationmentioning

confidence: 99%

“…To discuss this in more detail, Asai et al [5] reported that the saturated vapor pressure will reach 10~100 times as high as the atmospheric pressure. In their later study [6, 7], initial bubble pressure was taken to be 7.5Mpa. It should be noted that bubble generation and collapse happen very fast and vapor close to heating element is saturated during this period.…”

Section: Thermal Inkjet Printermentioning

confidence: 99%

“…LBM has many advantages such as easy implementation of various physical phenomena and fully parallel algorithms [6]. Among various LB methods, pseudopotential model is simpler and more efficient in simulating high-density ratio multiphase flow system [5, 6]. It also has lower computation cost compared to interface capturing methods such as Volume-of-Fluid (VoF) and level set methods [7].…”

Section: Introductionmentioning

confidence: 99%

“…Later, Kupershtokh et al [10] overcame this limitation and were able to achieve liquid to vapor density ratios as big as 10 7 . Anjie Hu [6] furthered this approach to demonstrate the feasibility of reaching temperature as low as 0.2 T c with density ratio of 10 9 . However, their major setback in this approach is compromising surface tension and increase in interface thickness.…”

Section: Introductionmentioning

confidence: 99%

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Modeling thermal inkjet and cell printing process using modified pseudopotential and thermal lattice Boltzmann methods

Sohrabi

Liu

2018

Phys. Rev. E

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Pseudopotential Lattice Boltzmann methods (LBM) can simulate phase transition in high-density ratio multiphase flow systems. If coupled with thermal LBM through equation of state, it can be used to study instantaneous phase transition phenomena with high temperature gradient where only one set of formulations in LBM system can handle liquid, vapor, phase transition, and heat transport. However, at lower temperatures unrealistic spurious current at interface introduce instability and limit its application in real flow system. In this study, we proposed new modifications to LBM system to minimize spurious current which enables us to study nucleation dynamic at room temperature. To demonstrate the capabilities of this approach, thermal ejection process is modeled as one example of a complex flow system. In inkjet printer, a thermal pulse instantly heats up the liquid in microfluidic chamber and nucleate bubble vapor providing pressure pulse necessary to eject droplets at high speed. Our modified method can present a more realistic model of explosive vaporization process since it can also capture high temperature/density gradient at nucleation region. Thermal inkjet technology has been successfully applied for printing cells, but cells are susceptible to mechanical damage or death as they squeeze out of nozzle head. To study cell deformation, spring network model, representing cells, is connected to LBM through immersed boundary method. Looking into strain/stress distribution of cell membrane at its most deformed state, it is found that high stretching rate effectively increase rupture tension. In other word, membrane deformation energy is released thorough creation of multiple smaller nanopores rather than big pores. Overall, concurrently simulating multiphase flow, phase transition, heat transfer, and cell deformation in one unified LB platform, we were able to provide a better insight into bubble dynamic and cell mechanical damage during printing process.

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“…Following similar principal, Anjie Hu et al [6] investigated the effect of reduced parameter on spurious current and surface tension. In this approach, the pressure term can be modified as

p' = k' p = k' [\frac{ρ R T}{1 - b ρ} - \frac{a ρ^{2} ε (T)}{1 + 2 b ρ - b^{2} ρ^{2}}]

…”

Section: Model Validationmentioning

confidence: 99%

Section: Model Validationmentioning

confidence: 99%

Section: Thermal Inkjet Printermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modeling thermal inkjet and cell printing process using modified pseudopotential and thermal lattice Boltzmann methods

Sohrabi

Liu

2018

Phys. Rev. E

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Liquid water discharge capability enhancement of hierarchical pore structure in metal foam flow field of proton exchange membrane fuel cell

Lin,

Sun,

Yang

et al. 2023

AIChE Journal

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Metal foam flow field shows great potential for next‐generation proton exchange membrane (PEM) fuel cell of high power density due to its well‐connected pore structure, high thermal and electrical conductivity. However, the complicated pore structure makes it a challenge for water management. To tackle this issue, a novel design of metal foam flow field with hierarchical pore structure was proposed. Based on lattice Boltzmann method (LBM), the structure‐performance relationship between hierarchical pore structure and water discharge capability of flow field was explored by using breakthrough time. Furthermore, an optimal hierarchical pore structure for metal foam flow field that shows superior water discharge capability was obtained. Compared with metal foam with uniform coarse pore structure, breakthrough time can be reduced roughly by 17.6% in the one with optimal hierarchical pore structures. This finding provides a theoretical foundation and technical guidance for developing metal foam flow field.

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A unified interaction model for multiphase flows with the lattice Boltzmann method

2022

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The lattice Boltzmann method (LBM) has been increasingly adopted for modelling multiphase fluid simulations in engineering problems. Although relatively easy to implement, the ubiquitous Shan–Chen pseudopotential model suffers from limitations such as thermodynamic consistency and the formation of spurious currents. In the literature, the Zhang–Chen, Kupershtokh et al., the β‐scheme, and the Yang–He alternative models seek to mitigate these effects. Here, through analytical manipulations, we call attention to a unified model from which these multiphase interaction forces can be recovered. Isothermal phase‐transition simulations of single‐component in stationary and oscillating droplet conditions, as well as spinodal decomposition calculations, validate the model numerically and reinforce that the multiphase forces are essentially equivalent. Parameters are selected based on the vapour densities at low temperatures in the Maxwell coexistence curve, where there is a narrow range of optimal values. We find that expressing the model parameters as functions of the reduced temperature further enhances the thermodynamic consistency without losing stability or increasing spurious velocities.

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On equations of state in pseudo-potential multiphase lattice Boltzmann model with large density ratio

Cited by 69 publications

References 14 publications

Modeling thermal inkjet and cell printing process using modified pseudopotential and thermal lattice Boltzmann methods

Modeling thermal inkjet and cell printing process using modified pseudopotential and thermal lattice Boltzmann methods

Liquid water discharge capability enhancement of hierarchical pore structure in metal foam flow field of proton exchange membrane fuel cell

A unified interaction model for multiphase flows with the lattice Boltzmann method

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