The rarefaction effect on the friction factor of gas flow in microchannels

Morini, Gian Luca

doi:10.1016/s0749-6036(04)00136-3

Cited by 19 publications

(42 citation statements)

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“…This is inline with previous results of Morini et al [6], Zhu et al [28], Renksizbulut et al [7], and Chen [33]. At the same time, increasing Kn will lead to higher β values, as expected.…”

Section: Numerical Detailssupporting

confidence: 92%

“…It is also interesting that Hadjiconstantinou and Simek [20] and Morini et al [6] have reported a similar Po function for microchannels of parallel plate cross-section. However, absent in their reports was similar correlation for rectangular cross-sections.…”

Section: Problem Statementmentioning

confidence: 74%

“…This can happen when 0.001<Kn<0.1 while the flow is called slip flow. For such flow the Navier-Stokes equation should be combined with the slip flow condition so that the results can match experimental measurements; for more details see [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section

Hooman

2008

International Journal of Heat and Mass Transfer

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This work presents a superposition approach to investigate forced convection in microducts of arbitrary cross-section, subject to H1 and H2 boundary condition, in the slip-flow regime with further complication of a temperature jump condition assumption. It is shown that applying an average slip velocity and temperature jump definition, one can still use the no-slip/no-jump results with some minor modifications. Present results for slip flow in microchannels of parallel plate, circular, and rectangular cross-sections are found to be in complete agreement with those in the literature. Application of this methodology to microchannels of triangular cross-section is also verified by comparing the present results with those obtained numerically by undertaking the commercially available software CFD-ACE.

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Section: Numerical Detailssupporting

confidence: 92%

Section: Problem Statementmentioning

confidence: 74%

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A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section

Hooman

2008

International Journal of Heat and Mass Transfer

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“…As a sample of the results, Fig. 2 compares our fRe and β with those of (Morini et al 2004) and (Tunc and Bayazitoglu 2002) for microducts without a porous insert, i.e. when s=0 and a=1.…”

Section: Resultsmentioning

confidence: 99%

“…Slip flow in various-shaped microchannels has been studied extensively in the past decades (Morini, Spiga and Tartarini 2004, Sparrow and Hajisheikh 1964, Tunc and Bayazitoglu 2002, Zhu, Liao and Xin 2006, Yu and Ameel 2001, Hooman 2007, to name a few. However, theoretical research on slip flow in porous-saturated microducts of arbitrary cross-section has not been conducted as much as those on clear fluid counterparts.…”

Section: Introductionmentioning

confidence: 99%

Slip flow forced convection in a microporous duct of rectangular cross-section

Hooman

2009

Applied Thermal Engineering

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Applying a Fourier series approach, closed form solutions for fully developed velocity and temperature distribution in a porous-saturated microduct of rectangular cross-section are presented in the slip-flow regime. The Brinkman flow model is applied. Invoking the temperature jump equation, the H1 thermal boundary condition is investigated. Expressions are presented for the local and average velocity and temperature profiles, the friction factor, and the slip coefficient in terms of the key parameters. The present results, which are applicable to microducts of rectangular cross-section filled with or without a porous medium, are found to be in complete agreement with those available in the literature for both no-slip and slip flow regime.

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Effect of water saturation on gas slippage in circular and angular pores

Chen

et al. 2018

AIChE Journal

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A unified model for gas slip flow through circular and angular pores in both single phase flow and two-phase flow conditions is developed, and the effect of water saturation on gas slippage factors in different pore shapes are revealed. For circular pores, the water saturation retains as thin film binding on pore surfaces without changing the shape of the cross section, and the hydraulic diameters continuously reduce as water saturation increases, directly leading to an increase in the slippage factor. However, for angular pores, the water saturation retains as both films at boundaries and condensations at corners, and the film-water and corner-water gradually change their cross-section shape (from sharp corners to round corners), which further affects the gas slip behavior. Due to the presence of round corners, the ratio of the cross-sectional area and perimeter, which can also be regarded as the reciprocal of a specific surface area, can even increase at a low water saturation condition. Thus the collisions between gas molecules and pore boundaries weaken, resulting in a slight reduction in the gas slippage factor. This interesting finding in the angular pore case directly explains the contradiction of the published experimental results with the general knowledge (i.e., the gas slip factor always increases as water saturation increases). Thus, the validity of the common assumption regarding actual porous media as capillaries with a circular cross-section must be considered more carefully.

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The rarefaction effect on the friction factor of gas flow in microchannels

Cited by 19 publications

References 0 publications

A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section

A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section

Slip flow forced convection in a microporous duct of rectangular cross-section

Effect of water saturation on gas slippage in circular and angular pores

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