Single-Phase Gas Flow in Microchannels

Colin, Stéphane

doi:10.1016/b978-0-08-098346-2.00002-8

Cited by 16 publications

(3 citation statements)

References 105 publications

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“…For an ideal gas and an inverse power-law collision model, the Knudsen number is defined as K n = ∕ , where is the mean free path (MFP) of a gas molecule and is the pore size. MFP is obtained by (Colin 2014):…”

Section: Application Of Knudsen Number (K N ) To Transport Phenomenamentioning

confidence: 99%

“…In continuum flow, fluid flow is the continuity of temperature and velocity between the fluid and the pore wall in the macropores of mudrocks. Flow is solved by the compressible Navier-Stokes equations, the ideal gas equation of state (thermodynamic equilibrium), and classic boundary conditions in Lattice-Boltzmann models (Bird 1994;Colin 2014). According to above, we argue that transport phenomena in mudrocks are pore size-dependent.…”

Section: Dominant Flow Regimes In Mudrocksmentioning

confidence: 99%

“…In this context, the Knudsen number (K n ), defining the ratio between the molecule mean free path length and the pore size, allows characterising the pore size boundaries for fluid flow regimes (Knudsen 1909). In fact, it relates dominant flow regimes to the corresponding range of pore sizes in the matrix: free molecular/Knudsen diffusion flow (K n > 10), transitional flow (0.1 < K n < 10), slip flow (0.001 < K n < 0.1), and continuum/Darcy flow (K n < 0.001) (Colin 2014;Tartakovsky and Dentz 2019). The pore structure of mudrocks accommodates the rock-fluid interactions controlling transport of elements associated with hierarchical pore morphology (Bahadur et al 2014;Busch et al 2017).…”

Section: Introductionmentioning

confidence: 99%

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Predicting Fluid Flow Regime, Permeability, and Diffusivity in Mudrocks from Multiscale Pore Characterisation

Rezaeyan

Pipich

et al. 2021

Transp Porous Med

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In geoenergy applications, mudrocks prevent fluids to leak from temporary (H2, CH4) or permanent (CO2, radioactive waste) storage/disposal sites and serve as a source and reservoir for unconventional oil and gas. Understanding transport properties integrated with dominant fluid flow mechanisms in mudrocks is essential to better predict the performance of mudrocks within these applications. In this study, small-angle neutron scattering (SANS) experiments were conducted on 71 samples from 13 different sets of mudrocks across the globe to capture the pore structure of nearly the full pore size spectrum (2 nm–5 μm). We develop fractal models to predict transport properties (permeability and diffusivity) based on the SANS-derived pore size distributions. The results indicate that transport phenomena in mudrocks are intrinsically pore size-dependent. Depending on hydrostatic pore pressures, transition flow develops in micropores, slip flow in meso- and macropores, and continuum flow in larger macropores. Fluid flow regimes progress towards larger pore sizes during reservoir depletion or smaller pore sizes during fluid storage, so when pressure is decreased or increased, respectively. Capturing the heterogeneity of mudrocks by considering fractal dimension and tortuosity fractal dimension for defined pore size ranges, fractal models integrate apparent permeability with slip flow, Darcy permeability with continuum flow, and gas diffusivity with diffusion flow in the matrix. This new model of pore size-dependent transport and integrated transport properties using fractal models yields a systematic approach that can also inform multiscale multi-physics models to better understand fluid flow and transport phenomena in mudrocks on the reservoir and basin scale.

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Section: Application Of Knudsen Number (K N ) To Transport Phenomenamentioning

confidence: 99%

Section: Dominant Flow Regimes In Mudrocksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Predicting Fluid Flow Regime, Permeability, and Diffusivity in Mudrocks from Multiscale Pore Characterisation

Rezaeyan

Pipich

et al. 2021

Transp Porous Med

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Thermally driven pumps and diodes in multistage assemblies consisting of microchannels with converging, diverging and uniform rectangular cross sections

Tatsios

Valougeorgis

Rojas-Cárdenas

et al. 2020

Microfluid Nanofluid

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Viscous and thermal velocity slip coefficients via the linearized Boltzmann equation with ab initio potential

Basdanis,

Valougeorgis,

Sharipov

2023

Microfluid Nanofluid

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The viscous and thermal velocity slip coefficients of various monatomic gases are computed via the linearized classical Boltzmann equation, with ab initio potential, subject to Maxwell and Cercignani–Lampis boundary conditions. Both classical and quantum interatomic interactions are considered. Comparisons with hard sphere and Lennard–Jones potentials, as well as the linearized Shakhov model are performed. The produced database is dense, covers the whole range of the accommodation coefficients and is of high accuracy. Using symbolic regression, very accurate closed form expressions of the slip coefficients, easily implemented in the future computational and experimental works, are deduced. The thermal slip coefficient depends, much more than the viscous one, on the intermolecular potential. For example, in the case of diffuse scattering, the relative differences in the viscous slip coefficient data between HS and AI potentials are less than 4%, whilst the corresponding ones in the thermal slip coefficient data are about 6% for He, reaching 15% for Xe. Quantum effects are considered for He, at temperatures 1–104 K to deduce that deviations from the classical behaviour are not important in the viscous slip coefficient, but they become important in the thermal slip coefficient, where the differences between the classical and quantum approaches reach 15% at 1 K. The computational effort of solving the linearized Boltzmann equation with ab initio and Lennard–Jones potentials is the same. Since ab initio potentials do not contain any adjustable parameters, it is recommended to use them at any temperature.

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Single-Phase Gas Flow in Microchannels

Cited by 16 publications

References 105 publications

Predicting Fluid Flow Regime, Permeability, and Diffusivity in Mudrocks from Multiscale Pore Characterisation

Predicting Fluid Flow Regime, Permeability, and Diffusivity in Mudrocks from Multiscale Pore Characterisation

Thermally driven pumps and diodes in multistage assemblies consisting of microchannels with converging, diverging and uniform rectangular cross sections

Viscous and thermal velocity slip coefficients via the linearized Boltzmann equation with ab initio potential

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