Mesoscopic Simulation of Rarefied Flow in Narrow Channels and Porous Media

Kalarakis, A. N.; Michalis, Vasileios K.; Skouras, E. D.; Burganos, Vasilis N.

doi:10.1007/s11242-012-0010-4

Cited by 28 publications

(32 citation statements)

References 36 publications

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“…In the present work, the DSMC method, which is the stochastic solution of the Boltzmann equation (Nanbu 1980), was used for numerical simulations of gas flows in porous media. The DSMC method has been used to simulate gas flow in micro-/nanoscale porous media (Saito et al 1995;Tomarikawa et al 2011;Kalarakis et al 2012;Oshima et al 2012;Dreyer et al 2014;Christou and Dadzie 2016).…”

Section: Methodsmentioning

confidence: 99%

“…(43) by the effective viscosity µ e which reflects the dependence on the Knudsen number. The effective viscosity µ e is given by (Michalis et al 2010;Kalarakis et al 2012), where a is a numerical factor. Equation (43) In Fig.…”

Section: Construction Of An Expression To Estimate Gas Flow Velocity mentioning

confidence: 99%

“…Michalis et al (2010) performed DSMC simulations of hard sphere gas flow between parallel plates and found that the numerical factor a has the value of 2 for length-to-width ratio of 20 over the entire transition flow regime. Kalarakis et al (2012) incorporated the effect of rarefaction on the viscosity, Eq. (7), into the dusty gas model and derived the expression of the effective permeability with the form of the Klinkenberg equation, Eq.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A study on pressure-driven gas transport in porous media: from nanoscale to microscale

Kawagoe

Oshima

Tomarikawa

et al. 2016

Microfluid Nanofluid

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Section: Methodsmentioning

confidence: 99%

Section: Construction Of An Expression To Estimate Gas Flow Velocity mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A study on pressure-driven gas transport in porous media: from nanoscale to microscale

Kawagoe

Oshima

Tomarikawa

et al. 2016

Microfluid Nanofluid

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“…The results, including the velocity profile, the nonlinear pressure distribution along the channel, and the mass flow rate, are in good agreement with the solution of the linearized Boltzmann equation, the direct simulation Monte Carlo, DSMC results, and the experimental results over a broad range of Knudsen numbers. Kalarakis et al (2012) employed a single relaxation time model with this modified D2Q9 lattice Boltzmann method to simulate flow between parallel plates and flow in porous media. They tested the modified LB method against the DSMC method in the simple case of a straight channel.…”

Section: Recent Technological Developments Have Made Itmentioning

confidence: 99%

A New Formulation for Prediction of Permeability of Nano Porous Structures using Lattice Botzmann Method

Mostafavi

Isfahani

2017

JAFM

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The standard lattice Boltzmann equation, LBE, is inadequate for simulating gas flows in nano scale flows with Knudsen numbers higher than 0.1. In the present study, rarefied gas flow in nano porous structures is simulated using the modified Lattice Boltzmann Method, LBM, which is able to cover wide range of flow regimes. The present study, reports the effects of the Knudsen number and porosity on the flow rate and permeability in slip and transitional flow regimes. For the first time, the Knudsen's minimum effect in micro/nano porous was observed. A new correlation between the permeability, the porosity and the Knudsen number is then proposed which is able to predict the permeability of in-line and staggered nano porous structures in slip and transitional regimes.

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“…Kalarakis et al [17] created a physical representation of a porous microchannel geometry, where the blockage was created using a stochastic fractional Brownian technique. Nitrogen gas flows with an inlet-to-outlet pressure ratio of 2 were performed at different Knudsen numbers and the Klinkenberg effect is clearly found as the permeability increases as the Knudsen number is increased.…”

Section: Introductionmentioning

confidence: 99%

Permeability of Ablative Materials Under Rarefied Gas Conditions

White

Scanlon²,

Brown³

2016

Journal of Spacecraft and Rockets

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Numerical meshes of both cork and carbon fibre ablative materials in their virgin and pyrolised states, with realistic porosity and tortuosity, have been created from micro-computed tomography (µCT) scans. The porosity of each material has been calculated from the µCT scans and used to extract smaller representative sample volumes to perform numerical simulations on.Direct simulation Monte Carlo simulations of rarefied gas flow through these materials have been performed to find the permeability of each material to argon gas and to a gas mixture. The method has been validated by comparing the measured permeability for a Berea sandstone material to previously published experimental values. For the specific pressure conditions investigated here, the cork-phenolic material becomes around ten mores permeable after being pyrolised, while the carbon-phenolic material only becomes five times more permeable than its virgin form. The permeability to the gas mix- * Corresponding author Email addresses: craig.white.2@glasgow.ac.uk (Craig White), tom.scanlon@strath.ac.uk (Thomas J. Scanlon), richard.brown@strath.ac.uk (Richard E. Brown) Preprint submitted to Journal of Spacecraft and RocketsJuly 24, 2015 ture is found to be greater than to argon for most of the samples, showing the importance of choosing the correct gas for rarefied permeability studies.The form of the pressure and Mach number profiles through the materials is indepedent of the applied pressure gradient.Keywords: permeability, rarefied gas, ablation, re-entry, CT scan, DSMC

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Mesoscopic Simulation of Rarefied Flow in Narrow Channels and Porous Media

Cited by 28 publications

References 36 publications

A study on pressure-driven gas transport in porous media: from nanoscale to microscale

A study on pressure-driven gas transport in porous media: from nanoscale to microscale

A New Formulation for Prediction of Permeability of Nano Porous Structures using Lattice Botzmann Method

Permeability of Ablative Materials Under Rarefied Gas Conditions

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