Single droplet condensation in presence of non-condensable gas by a multi-component multi-phase thermal lattice Boltzmann model

Zheng, Shao-Fei; Eimann, Ferdinand; Philipp, Christian; Fieback, Tobias; Groß, Ulrich

doi:10.1016/j.ijheatmasstransfer.2019.04.135

Cited by 33 publications

(51 citation statements)

References 45 publications

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“…ρ a e a + ρ v e v , and P g = P a (ρ a , e a ) + P v (ρ v , e v ), (2) where the internal energies e a and e v are linked through the temperature equilibrium assumption:…”

Section: System Of Equations and Closure Lawsmentioning

confidence: 99%

“…The gas pressure-law, i.e. last relation in (2), then obeys the classical Dalton's law (or Gibbs-Dalton's law). Moreover, it should be noted that the entropy of phase g depends on ρ a , ρ g and e g ; whereas the liquid entropy only depends on ρ l and e l .…”

Section: System Of Equations and Closure Lawsmentioning

confidence: 99%

“…Different numerical strategies have been proposed in order to simulate water phase change in presence of non-condensable gases, as for instance the Smooth Particle Hydrodynamics method [1], the Lattice-Boltzamnn method [2], level-set methods [3,4], Volume of Fluid methods [4,5,6]. Nevertheless, we focus here on strategies based on finite volume techniques and on diffuse interface models.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model

Hurisse¹,

Quibel²

2021

Applied Mathematical Modelling

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Two phase flows including liquid water, vapor and non-condensable gases are often encountered in industrial applications. In this paper, an extension of the classical Baer-Nunziato two-fluid model is presented in order to account for the non-condensable gases. In this model, the vapor and non-condensable gases form a miscible mixture of gases at temperature equilibrium and kinematic equilibrium. The complete model then allows to account for the full kinematic and thermodynamic disequilibrium between the liquid phase and the gas phase. Moreover, a new form for the masstransfer source-term has been retained. It leads to a more straightforward numerical integration. When focusing on the numerical scheme, a new algorithm is proposed here for the pressure relaxation effect. At last, some numerical experiments are performed in order to assess the behavior of the model with respect to the relaxation time-scales.

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“…ρ a e a + ρ v e v , and P g = P a (ρ a , e a ) + P v (ρ v , e v ), (2) where the internal energies e a and e v are linked through the temperature equilibrium assumption:…”

Section: System Of Equations and Closure Lawsmentioning

confidence: 99%

Section: System Of Equations and Closure Lawsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model

Hurisse¹,

Quibel²

2021

Applied Mathematical Modelling

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show abstract

“…The LB method is derived from the Boltzmann equation with the BGK approximation. The LB method simulates fluid flow by solving the discrete Boltzmann equation with a collision operator, such as the Bhatnagar-Gross-Krook (BGK) collision operator [34] and the multiple-relaxation-time (MRT) collision operator [35,36]. In the LB method, a discrete distribution function f α is introduced to represent the fluid.…”

Section: Shan-chen Lattice Boltzmann Modelmentioning

confidence: 99%

Rebound Dynamics of Two Droplets Successively Impacting an Inclined Surface

Lin

Zhang

et al. 2020

Coatings

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The dynamic behaviors of two droplets successively impacting inclined surfaces are simulated by a three-dimensional pseudopotential lattice Boltzmann model based on multi-relaxation-time. The effect of velocity ratio of two successive droplets on the contact time is investigated and two rebounding regimes are identified depending on whether the coalesced droplet retouches the surface or not. Increasing the velocity ratio leads to a stronger interaction between the two droplets and the phenomenon of coalesced droplet retouching the surface is observed when the velocity ratio exceeds a threshold, resulting in a longer contact time. An outcome map of droplet rebounding is obtained at various velocity ratios and contact angles of surface. It is found that the coalesced droplet cannot rebound from the surface at a larger velocity ratio and a lower contact angle of surface. Furthermore, the effect of the length between impact points on the contact time is exhibited, and a longer length is beneficial to coalesced droplet rebounding.

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“…Flekkoy [20] and Shan and Chen [21,22] developed a pseudopotential LB model, this model properly takes account the momentum exchange between the species by pseudopotential interactions. The thermal pseudopotential LB method was firstly attributed by Zhang and Chan [23], then Li et al [24] developed a hybrid thermal LB-MRT model considering the vapor-liquid phase change and this model was extended to the multicomponent LB model by Zheng et al [25,26]. The models introduced above have been well studied by many authors, however, these models have various shortcomings.…”

Section: Introductionmentioning

confidence: 99%

Modeling reacting multi-species flows with a detailed multi-fluid lattice Boltzmann scheme

et al. 2021

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Recent advances and findings reported in the literature show that the lattice Boltzmann (LB) method can be a viable and rather efficient alternative to classical numerical methods in modeling multi-species flows. Based on the kinetic theory of multicomponent gases, multi-fluid approaches are derived. Each species evolves according to the specific properties, a proper coupling must be introduced for modeling the diffusivity. In recent years, a discrete kinetic scheme for multi-component flows has been proposed which was able to solve the Maxwell-Stefan system of equations for any number of species. However, reacting flows lead to additional challenges and have seldom been studied by LB method. The aim of the present work is to implement this model in the LB solver, extend it to take account multiple chemical reactions. The temperature is modeled through separate distribution function and the flow distribution function is assumed to be independent of temperature. The performance has been checked for a binary diffusion flow and a counter-current propane/air reacting flow. The obtained results show that this model able to deal with multi-species flows and solves the multi-component system of equations

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Single droplet condensation in presence of non-condensable gas by a multi-component multi-phase thermal lattice Boltzmann model

Cited by 33 publications

References 45 publications

Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model

Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model

Rebound Dynamics of Two Droplets Successively Impacting an Inclined Surface

Modeling reacting multi-species flows with a detailed multi-fluid lattice Boltzmann scheme

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