Numerical investigation of nanoporous evaporation using direct simulation Monte Carlo

John, Benzi; Enright, Ryan; Sprittles, James E.; Gibelli, Livio; Emerson, David R.; Lockerby, Duncan A.

doi:10.1103/physrevfluids.4.113401

Cited by 16 publications

(15 citation statements)

References 50 publications

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“…For all cases considered in this work, fully diffuse molecular re-emissions are considered at the interface (i.e. χ = 1), as this is used for the DSMC results [28,29]. The evaporation coefficient is zero at a solid-vapour interface, and we assume perfect evaporation at a liquidvapour interface, i.e.…”

Section: B Linearisationmentioning

confidence: 99%

“…The nanoporous membrane is assumed to be two-dimensional in order to allow comparison with the DMSC results of John et al [28,29]. It is also necessary to validate the moment equations for two-dimensional flows before modelling a three-dimensional nanoporous membrane, where the computational tractability of the model becomes more important.…”

Section: Problem Formulation For Nanoporous Evaporationmentioning

confidence: 99%

“…In accordance with the DSMC approach [28,29], we impose a constant dimensionless saturation pressure p s and liquid temperature θ L at the liquid-vapour interface. At the farfield, we have three unknown parameters, v i,∞ , ρ ∞ , θ ∞ .…”

Section: Problem Formulation For Nanoporous Evaporationmentioning

confidence: 99%

“…These are all momentbased approximations of the Boltzmann equation, each more accurate than the previous [27]. We compare solutions of these equations to computational results obtained by John et al [28,29], who utilised the standard Direct Simulation Monte Carlo (DSMC) method of solving the Boltzmann equation.…”

Section: Introductionmentioning

confidence: 99%

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Efficient moment method for modeling nanoporous evaporation

Rana

Enright

et al. 2022

Phys. Rev. Fluids

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Thin-film-based nanoporous membrane technologies exploit evaporation to efficiently cool microscale and nanoscale electronic devices. At these scales, when domain sizes become comparable to the mean free path in the vapour, traditional macroscopic approaches such as the Navier-Stokes-Fourier (NSF) equations become less accurate, and the use of higher-order moment methods is called for. Two higher-order moment equations are considered; the linearised versions of the Grad 13 and Regularised 13 equations. These are applied to the problem of nanoporous evaporation, and results are compared to the NSF method and the method of direct simulation Monte Carlo (i.e. solutions to the Boltzmann equations). Linear and non-linear versions of the boundary conditions are examined, with the latter providing improved results, at little additional computational expense, compared to the linear form. The outcome is a simultaneously accurate and computationally efficient method, which can provide simulation-for-design capabilities at the nanoscale.

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Section: B Linearisationmentioning

confidence: 99%

Section: Problem Formulation For Nanoporous Evaporationmentioning

confidence: 99%

Section: Problem Formulation For Nanoporous Evaporationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Efficient moment method for modeling nanoporous evaporation

Rana

Enright

et al. 2022

Phys. Rev. Fluids

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“…Particularly, they calculated the pore transmissivity using Berman's correlation (Berman 1965) to account for the vapour flow resistance in pores. John et al (2019John et al ( , 2021 investigated the nanoporous evaporation by direct simulation Monte Carlo (DSMC) and provided an effective evaporation coefficient approach to handling the nanoporous evaporation using the solution of half-space evaporation problems. Li, Wang & Xia (2021b) introduced the transitional gas flow formulation into the calculation of vapour flow resistance and extended the nanoporous evaporation model to a wider range of Knudsen numbers.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and numerical study of nanoporous evaporation with receded liquid surface: effect of Knudsen number

Wang

2021

J. Fluid Mech.

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The liquid evaporation from nanoscale pores has attracted much attention from researchers due to its importance in water treatment and device cooling related applications. It is crucial to investigate the receded liquid case as the vapour flow resistance in a nanopore has high impacts on the evaporation rate. This paper proposed a semi-empirical analysis on nanoporous evaporation with a receded liquid surface under the influence of the Knudsen number. The vapour flow dynamics in a nanopore was examined considering the multiple reflections of vapour molecules. We calculated the value of pore transmissivity based on transitional gas flow correlation which incorporated the effect of the Knudsen number. Direct simulation Monte Carlo method was employed to provide validation for the present model. The vapour density jump near the liquid surface and the pressure ratio between the far field and saturation value were predicted by our model with good precision. It was shown that the vapour flow resistance in the nanopore accounted for more than 90 % of the total resistance in present cases. With increasing Knudsen number, the pressure ratio gradually drops and reaches an asymptotic level. This suggested a relatively higher evaporation resistance in free molecular regimes. The present work revealed the importance of the Knudsen number in nanoporous evaporation with receded liquids, providing insights into the governing factors under various Knudsen regimes.

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Mesoscale Simulations on the Ultrahigh Heat Flux Evaporation of R143a within Ultrathin Nanoporous Membrane Using a Modified Dimensionless Lattice Boltzmann Method

Zheng

Hong

et al. 2022

International Journal of Heat and Mass Transfer

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Numerical investigation of nanoporous evaporation using direct simulation Monte Carlo

Cited by 16 publications

References 50 publications

Efficient moment method for modeling nanoporous evaporation

Efficient moment method for modeling nanoporous evaporation

Theoretical and numerical study of nanoporous evaporation with receded liquid surface: effect of Knudsen number

Mesoscale Simulations on the Ultrahigh Heat Flux Evaporation of R143a within Ultrathin Nanoporous Membrane Using a Modified Dimensionless Lattice Boltzmann Method

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