Kinetic analysis of surface roughness in a microchannel

Rovenskaya, O. I.

doi:10.1016/j.compfluid.2013.03.008

Cited by 18 publications

(10 citation statements)

References 17 publications

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“…(6)) [13,30]. Therefore, the use of an implicit scheme, allowing an arbitrary Courant number for the spatial operator, significantly accelerates a convergence of the solution in comparison with an explicit scheme [30]. For the simplicity the implicit numerical scheme will be written only for Eq.…”

Section: Methodsmentioning

confidence: 99%

“…where the gain term G C;i;j is positive and treated explicitly, J i;j is a standard Jacobian matrix using to transform Cartesian coordinates to curvilinear ones [13,30]. The numerical fluxes F iAE 1 2 ;j and F i;jAE 1 2 are of the second order with minmod limiter function [30].…”

Section: Methodsmentioning

confidence: 99%

“…The numerical fluxes F iAE 1 2 ;j and F i;jAE 1 2 are of the second order with minmod limiter function [30]. Using the storage by velocity index C the scheme (24) can be expressed in matrix form as:…”

Section: Methodsmentioning

confidence: 99%

“…The linear system of (25) is solved for each velocity point C by a successive LU decomposition [30]. The distribution function at the next time step g nþ1 C is computed as:…”

Section: Methodsmentioning

confidence: 99%

See 3 more Smart Citations

Numerical investigation of gas–surface scattering dynamics on the rarefied gas flow through a planar channel caused by a tangential temperature gradient

Rovenskaya

2015

International Journal of Heat and Mass Transfer

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

“…The linear system of (25) is solved for each velocity point C by a successive LU decomposition [30]. The distribution function at the next time step g nþ1 C is computed as:…”

Section: Methodsmentioning

confidence: 99%

See 2 more Smart Citations

Numerical investigation of gas–surface scattering dynamics on the rarefied gas flow through a planar channel caused by a tangential temperature gradient

Rovenskaya

2015

International Journal of Heat and Mass Transfer

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“…Regarding the studies on fluid flows in rough-walled fractures, the early efforts mainly focus on fracture roughness effects (Brush & Thomson, 2003;Zimmerman & Bodvarsson, 1996;Zimmerman et al, 1991), which neglect the rarefied gas flow effect and the nonideal gas effect. Recent attentions move to rarefied gas flow in rough fractures at a relative small scale considering its wide application for engineering practices (Cao et al, 2006;Rovenskaya, 2013). Studies have been extended to study gas flow in rough-walled channels in slip flow (Zhang et al, 2012) and transition flow regimes (Deng et al, 2016).…”

Section: Water Resources Researchmentioning

confidence: 99%

Analytical Solution of Gas Flow in Rough‐Walled Microfracture at In Situ Conditions

Wang

Tang

Jing

2019

Water Resources Research

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The development of the unconventional gas and CO2 sequestration is moving to deep formations. Because of the small flow pathways in the matrix, the Knudsen number might be high even though the gas is dense. In fact, due to the relatively high pressure at in situ conditions, gas flow in microfractures usually manifests a strong slip and nonideal gas effects. Therefore, understanding the coupling mechanism of these two on gas flow in rough‐walled microfractures is required to accurately model subsurface flow behavior. In this study, pressure‐driven gas flow in rough‐walled microfracture is analyzed in depth. Starting from the local governing equations for gas flow, a local flow model that includes gas slip and nonideal gas effects is derived by solving the Stokes equation with a first‐order slip boundary condition. Focusing at the representative elementary volume scale, the upscaled solutions to gas flow in a fracture with sinusoidal surface are derived to obtain the apparent permeability. The impact of nonideal gas effects, fracture roughness and aperture, and the tangential momentum accommodation coefficient on CH4 and CO2 flow is analyzed. The results show that fracture roughness introduces a high degree of heterogeneity in gas flow. At in situ conditions effects of gas slip, fracture roughness and tangential momentum accommodation coefficient on gas flow are reduced. The ideal gas law is capable of estimating CH4 flow to some extent. However, it fails to estimate CO2 flow in microfractures.

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A review of heat and fluid flow characteristics in microchannel heat sinks

Çetkin

2020

Heat Trans

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Heat transfer and flow characteristic in microchannel heat sinks (MCHS) are extensively studied in the literature due to high heat transfer rate capability by increased heat transfer surface area relative to the macroscale heat sinks. However, heat transfer and fluid flow characteristics in MCHS differ from conventional ones because of the scaling effects. This review summarizes the studies that are mainly based on heat transfer and fluid flow characteristic in MCHS. There is no consistency among the published results; however, everyone agrees on that there is no new physical phenomenon in microscale that does not exist at macroscale. Only difference between them is that the effect of some physical phenomena such as viscous dissipation, axial heat conduction, entrance effect, rarefaction, and so forth, is negligibly small at macroscale, whereas it is not at microscale. The effect of these physical phenomena on the heat transfer and flow characteristics becomes significant with respect to specified conditions such as Reynolds number, Peclet number, hydraulic diameter, and heat transfer boundary conditions. Here, the literature was reviewed to document when these physical phenomena become significant and insignificant.

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Kinetic analysis of surface roughness in a microchannel

Cited by 18 publications

References 17 publications

Numerical investigation of gas–surface scattering dynamics on the rarefied gas flow through a planar channel caused by a tangential temperature gradient

Numerical investigation of gas–surface scattering dynamics on the rarefied gas flow through a planar channel caused by a tangential temperature gradient

Analytical Solution of Gas Flow in Rough‐Walled Microfracture at In Situ Conditions

A review of heat and fluid flow characteristics in microchannel heat sinks

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