Variance-reduction kinetic simulation of low-speed rarefied gas flow through long microchannels of annular cross sections

Bosco, Ferdin Sagai Don; Zhang, Yonghao

doi:10.1063/5.0013285

Cited by 3 publications

(3 citation statements)

References 53 publications

(47 reference statements)

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“…The integration is then carried out through a sequence of Markov creation and deletion events with appropriately chosen sub-time steps which are instrumental in the method's natural ability to adapt to a multi-scale system. Further details regarding the present implementation can be found in our previous work [44].…”

Section: Lvdsmc Methodsmentioning

confidence: 99%

“…Advances in digital imaging [65] have encouraged pore-scale direct simulation of flows through geological rock samples that are digitally reconstructed from these images [66]. The main aim of the present study is to provide more in-depth insights into rarefaction effect and gas/surface interaction in gaseous flows through porous media using the LVDSMC solver we have developed, which has been extensively validated for various simple flows [44].…”

Section: Porous Mediamentioning

confidence: 99%

“…Although the method was successfully deployed to study some simple problems [40][41][42][43][44], the application of this method has been very limited and its greater potential remains largely unexplored. In the present research, we apply this method to develop a new porescale simulation tool to study multi-scale flows through complex porous media.…”

Section: Introductionmentioning

confidence: 99%

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Pore-Scale Study of Rarefied Gas Flows Using Low-Variance Deviational Simulation Monte Carlo Method

Bosco

Zhang

2021

Transp Porous Med

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Gaseous flow through ultra-tight porous media, e.g. shale and some high-performance insulation materials, is often rarefied, invalidating an analysis by the continuum flow theory. Such rarefied flows can be accurately described by the kinetic theory of gases which utilizes the Boltzmann equation and its simplified kinetic models. While discrete velocity methods (DVM) have been successful in directly solving these equations, the immense potential of a particle-based solution of the variance-reduced Boltzmann-BGK (Bhatnagar-Gross-Krook) equation for rarefied flows in porous media has not been exploited yet. Here, a parallel solver based on the low variance deviational simulation Monte Carlo (LVDSMC) method is developed for 3D flows, which enables pore-scale simulations using digital images of porous media samples. The unique advantage of this particle-based formulation is in providing additional insights regarding the multi-scale nature of the flow and surface/gas interactions via two new parameters, i.e. pore and surface activity respectively. Together, these two parameters can identify key flow properties of the porous media. The computational efficiency and accuracy of the current method has also been analysed, suggesting that this new solver is a powerful simulation tool to quantify flow properties of ultra-tight porous media.

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Section: Lvdsmc Methodsmentioning

confidence: 99%

Section: Porous Mediamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Pore-Scale Study of Rarefied Gas Flows Using Low-Variance Deviational Simulation Monte Carlo Method

Bosco

Zhang

2021

Transp Porous Med

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Advances in micro/nano fluid flows: In Memory of Professor Jason Reese

Roohi

Zhang

2021

Physics of Fluids

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Effect of surface roughness on laminar flow in closed channels

Liu

et al. 2022

Physics of Fluids

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This study explores the flow characteristics of liquid water and liquid metals in closed channels with different roughness by using a modified roughness–viscosity model (RVM). The RVM model explains the influence of surface roughness on laminar flow by incorporating roughness and viscosity. This study proposes that the local Reynolds number should be used instead of the overall Reynolds number. This modified model in the flow of liquid water with different rough enclosures is studied by numerical simulation and then verified by experiments. Moreover, the verification model is used to explore the flow of conductive liquid metal in closed channels with different roughness under a magnetic field. According to the results of the study: (1) In the radial direction of the closed channel, the larger the radius was, the greater the change in the flow rate due to surface roughness. (2) As the flow direction through a closed channel changed, the larger the relative surface roughness was, the smaller the frictional resistance. (3) In a vertical magnetic field, the effect of surface roughness first weakened and then strengthened as the strength of the magnetic field increased. As the latter increased in a horizontal magnetic field, the effect of surface roughness decreased. This verified modified RVM model provides ideas and methods for research on laminar roughness in micro-closed channels in the future.

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Variance-reduction kinetic simulation of low-speed rarefied gas flow through long microchannels of annular cross sections

Abstract: Variance-reduction kinetic simulation of low-speed rareed gas ow through long micro channels of annular cross sections.

Cited by 3 publications

References 53 publications

Pore-Scale Study of Rarefied Gas Flows Using Low-Variance Deviational Simulation Monte Carlo Method

Pore-Scale Study of Rarefied Gas Flows Using Low-Variance Deviational Simulation Monte Carlo Method

Advances in micro/nano fluid flows: In Memory of Professor Jason Reese

Effect of surface roughness on laminar flow in closed channels

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