Generalized lattice Boltzmann model for frosting

Lei, Timan; Luo, Kai; Wu, Du-An

doi:10.1103/physreve.99.053301

Cited by 8 publications

(5 citation statements)

References 41 publications

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“…We perform numerical simulations based on a two-species lattice Boltzmann (LB) model, with suitable pseudo-potential interactions. Recently, the LB method has become a very efficient and powerful simulation method for complex flows [29][30][31][32][33][34][35][36][37][38][39][40] . The LB equation takes the form [41][42][43][44] :…”

Section: Model Description and Validationmentioning

confidence: 99%

Discrete fluidization of dense monodisperse emulsions in neutral wetting microchannels

et al. 2020

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The rheology of pressure-driven flows of two-dimensional dense monodisperse emulsions in neutral wetting microchannels is investigated by means of mesoscopic lattice simulations, capable of handling large collections of droplets, in the order of several hundreds. The simulations reveal that the fluidization of the emulsion proceeds through a sequence of discrete steps, characterized by yielding events whereby layers of droplets start rolling over each other, thus leading to sudden drops of the relative effective viscosity. It is shown that such discrete fluidization is robust against loss of confinement, namely it persists also in the regime of small ratios of the droplet diameter over the microchannel width. We also develop a simple phenomenological model which predicts a linear relation between the relative effective viscosity of the emulsion and the product of the confinement parameter (global size of the device over droplet radius) and the viscosity ratio between the disperse and continuous phases. The model shows excellent agreement with the numerical simulations. The present work offers new insights to enable the design of microfluidic scaffolds for tissue engineering applications and paves the way to detailed rheological studies of soft-glassy materials in complex geometries.The shear rheology of a wide class of SGMs 10-12 can be described by the Herschel-Bulkley relation 13 between the applied stress σ and the responsive shear rateγ,In Eq. (1), σ Y is the yield stress, below which the material J o u r n a l N a me , [ y e a r ] , [ v o l . ] , 1-8 | 1 arXiv:1910.01978v2 [cond-mat.soft] 30 Nov 2019 2 | 1-8 J o u r n a l N a me , [ y e a r ] , [ v o l . ] ,

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Section: Model Description and Validationmentioning

confidence: 99%

Discrete fluidization of dense monodisperse emulsions in neutral wetting microchannels

et al. 2020

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“…The above evolution equation scheme with B is widely applied in the liquid-solid phase change simulations with the LB model [21][22][23][24][25][26][27][28]. In these works, the solid density equals the liquid one.…”

Section: Solid-liquid Phase Change With Volume Changementioning

confidence: 99%

“…In these works, the LBM enables nontracking of the interface and the coupled equation of state (EOS) to adjust the separation of vapor and liquid phases according to the local state parameters. Several enthalpy-based LB models were also developed to deal with the solidification (or freezing) and melting processes [21][22][23]. To our best knowledge, no study has been reported using LBM for simulating the water freezing phenomenon with volume expansion or density change.…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric lattice Boltzmann model for simulating the freezing process of a sessile water droplet with volume change

Zhang

Fang

et al. 2020

Phys. Rev. E

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Droplet freezing not only is of fundamental interest but also plays an important role in numerous natural and industrial processes. However, it is challenging to numerically simulate the droplet freezing process due to its involving a complex three-phase system with dynamic phase change and heat transfer. Here we propose an axisymmetric lattice Boltzmann (LB) model to simulate the freezing process of a sessile water droplet with consideration of droplet volume expansion. Combined with the multiphase flow LB model and the enthalpy thermal LB model, our proposed approach is applied to simulate the sessile water droplet freezing on both hydrophilic and hydrophobic surfaces at a fixed subcooled temperature. Through comparison with the experimental counterpart, the comparison results show that our axisymmetric LB model can satisfactorily describe such sessile droplet freezing processes. Moreover, we use both LB simulations and analytical models to study the effects of contact angle and volume expansion on the freezing time and the cone shape formed on the top of frozen droplets. The analytical models are obtained based on heat transfer and geometric analyses. Additionally, we show analytically and numerically that the freezing front-to-interface angle keeps nearly constant (smaller than 90°).

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“…As a powerful pore-scale solver, the lattice Boltzmann (LB) method has been applied widely to study complex fluid flows in porous structures over the past three decades (Li et al 2016;Lei, Luo & Wu 2019;Lei & Luo 2021a;Chen et al 2022). Accordingly, LB simulations were reported to investigate separately the physical processes that are encountered in CO 2 desublimation, including the unsteady fluid flow, the heat and mass transfer, and the active gas-solid interface for desublimation.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study of CO₂ desublimation during cryogenic carbon capture using the lattice Boltzmann method

et al. 2023

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Cryogenic carbon capture (CCC) can preferentially desublimate $\text {CO}_2$ out of the flue gas. A widespread application of CCC requires a comprehensive understanding of $\text {CO}_2$ desublimation properties. This is, however, highly challenging due to the multiphysics behind it. This study proposes a lattice Boltzmann (LB) model to study $\text {CO}_2$ desublimation on a cooled cylinder surface during CCC. In two-dimensional (2-D) simulations, various $\text {CO}_2$ desublimation and capture behaviours are produced in response to different operation conditions, namely, gas velocity (Péclet number $\textit {Pe}$ ) and cylinder temperature (subcooling degree $\Delta T_{sub}$ ). As $\textit {Pe}$ increases or $\Delta T_{sub}$ decreases, the desublimation rate gradually becomes insufficient compared with the $\text {CO}_2$ supply via convection/diffusion. Correspondingly, the desublimated solid $\text {CO}_2$ layer (SCL) transforms from a loose (i.e. cluster-like, dendritic or incomplete) structure to a dense one. Four desublimation regimes are thus classified as diffusion-controlled, joint-controlled, convection-controlled and desublimation-controlled regimes. The joint-controlled regime shows quantitatively a desirable $\text {CO}_2$ capture performance: fast desublimation rate, high capture capacity, and full cylinder utilization. Regime distributions are summarized on a $\textit {Pe}$ – $\Delta T_{sub}$ space to determine operation parameters for the joint-controlled regime. Moreover, three-dimensional simulations demonstrate four similar desublimation regimes, verifying the reliability of 2-D results. Under regimes with loose SCLs, however, the desublimation process shows an improved $\text {CO}_2$ capture performance in three dimensions. This is attributed to the enhanced availability of gas–solid interface and flow paths. This work develops a reliable LB model to study $\text {CO}_2$ desublimation, which can facilitate applications of CCC for mitigating climate change.

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Generalized lattice Boltzmann model for frosting

Cited by 8 publications

References 41 publications

Discrete fluidization of dense monodisperse emulsions in neutral wetting microchannels

Discrete fluidization of dense monodisperse emulsions in neutral wetting microchannels

Axisymmetric lattice Boltzmann model for simulating the freezing process of a sessile water droplet with volume change

Study of CO₂ desublimation during cryogenic carbon capture using the lattice Boltzmann method

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Generalized lattice Boltzmann model for frosting

Cited by 8 publications

References 41 publications

Discrete fluidization of dense monodisperse emulsions in neutral wetting microchannels

Discrete fluidization of dense monodisperse emulsions in neutral wetting microchannels

Axisymmetric lattice Boltzmann model for simulating the freezing process of a sessile water droplet with volume change

Study of CO2 desublimation during cryogenic carbon capture using the lattice Boltzmann method

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Product

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Study of CO₂ desublimation during cryogenic carbon capture using the lattice Boltzmann method