Gas flow in a long microchannel

Hsieh, Shou-Shing; Tsai, Hung Chin; Lin, Chang-Sheng; Huang, Chien-Er; Chien, Cheng-Ming

doi:10.1016/j.ijheatmasstransfer.2004.03.027

Cited by 88 publications

(36 citation statements)

References 9 publications

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“…The measurements by Lalonde et al [15] of air flow in a 52.8 µm microtube showed a good agreement with the predictions of the conventional theory, as did those of Turner et al [16], who investigated the laminar flow of nitrogen, helium and air for smooth and rough rectangular microchannels with hydraulic diameters ranging from 4 to 100 µm. Hsieh et al [17] investigated the behavior of nitrogen flow in a 24-mm long, 200-µm wide, and 50-µm deep microchannel for Reynolds numbers between 2.6 and 89.4 and a value of the Knudsen number ranging from 0.001 to 0.02. They concluded that the effects of compressibility were more important than those due to the rarefaction and found a friction factor lower than that predicted by the conventional theory.…”

Section: Introductionmentioning

confidence: 99%

Experimental Analysis of Pressure Drop and Laminar to Turbulent Transition for Gas Flows in Smooth Microtubes

Morini

Lorenzini

Colin

et al. 2007

Heat Transfer Engineering

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The results of numerical and experimental works dealing with the behavior of gas flow through microchannels are by no means univocal, sometimes agreeing with the classical correlations and other times contradicting them. It is now agreed upon that the effects due to both rarefaction and compressibility must be accounted for. In addition, the experimental works have demonstrated that sometimes compressibility and rarefaction effects can be coupled in microchannels: because these two actions contrast each other, the scatter of the friction factor data for gaseous flows is remarkably large. This paper is aimed

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Section: Introductionmentioning

confidence: 99%

Experimental Analysis of Pressure Drop and Laminar to Turbulent Transition for Gas Flows in Smooth Microtubes

Morini

Lorenzini

Colin

et al. 2007

Heat Transfer Engineering

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“…However, the trend obtained from Wu and Little was inconsistent with that obtained from the results obtained by Choi et al (4) using gas as working fluid in their heat transfer study in microchannel. Study from Hsieh et al (5) indicated that for Knudsen number in the range from 0.001 to 0.02 and for gas in long microchannel, the experimental results obtained were lower than those obtained from the conventional prediction. Lelea et al (6) used the experimental method and numerical simulation for the study of the thermo-fluidic behavior of the fluid in stainless steel microchannel.…”

Section: Introductionmentioning

confidence: 87%

Heat Transfer for Water Flow in Triangular Silicon Microchannels

Chu

Teng²,

Greif³

2008

JTST

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This study investigated the behavior of pressure drops and heat transfer coefficients for four sets of triangular microchannels. Results of this study indicated that for Reynolds numbers less than 100, the Nusselt number tends to be nearly linearly increasing as the Reynolds number increases. The product of the friction factor and the Reynolds number (fRe) is slightly lower than those predicated by the conventional theory. Besides, high temperature gradient exists in the regions between the inlet and the exit of the flow channel. Furthermore, the difference between the values for Nu of those obtained from the empirical correlation for triangular microchannel and those from the experimental measurements was found to be within 15%.

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“…For example, experiments conducted by Pfahler et al (1990), Arkilic et al (1994Arkilic et al ( , 1997, Harley et al (1995), Choi et al (1991), Pong et al (1994), Araki et al (2000), Zohar et al (2002), Jang and Wereley (2004), Hsieh et al (2004) on the transport of gases in microchannels confirm that continuum analyses are unable to predict flow properties in micro-sized devices. Arkilic et al (1994Arkilic et al ( , 1997 studied helium flow through microchannels and found significant reduction in the Poiseuille number.…”

Section: Literature Reviewmentioning

confidence: 97%

Second-order gaseous slip flow models in long circular and noncircular microchannels and nanochannels

Duan

2011

Microfluid Nanofluid

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This paper significantly extends previous studies to the transition regime by employing the secondorder slip boundary conditions. A simple analytical model with second-order slip boundary conditions for a normalized Poiseuille number is proposed. The model can be applied to either rarefied gas flows or apparent liquid slip flows. The developed simple models can be used to predict the Poiseuille number, mass flow rate, tangential momentum accommodation coefficient, pressure distribution of gaseous flow in noncircular microchannels and nanochannels by the research community for the practical engineering design of microchannels and nanochannels. The developed second-order models are preferable since the difficulty and ''investment'' is negligible compared with the cost of alternative methods such as molecular simulations or solutions of Boltzmann equation. Navier-Stokes equations with second-order slip models can be used to predict quantities of engineering interest such as the Poiseuille number, tangential momentum accommodation coefficient, mass flow rate, pressure distribution, and pressure drop beyond its typically acknowledged limit of application. The appropriate or effective second-order slip coefficients include the contribution of the Knudsen layers in order to capture the complete solution of the Boltzmann equation for the Poiseuille number, mass flow rate, and pressure distribution. It could be reasonable that various researchers proposed different second-order slip coefficients because the values are naturally different in different Knudsen number regimes. It is analytically shown that the Knudsen's minimum can be predicted with the secondorder model and the Knudsen value of the occurrence of Knudsen's minimum depends on inlet and outlet pressure ratio. The compressibility and rarefaction effects on mass flow rate and the curvature of the pressure distribution by employing first-order and second-order slip flow models are analyzed and compared. The condition of linear pressure distribution is given.Keywords Transition regime Á Slip flow Á Second-order model Á Microchannels Á Nanochannels Á Pressure distribution Á Mass flow rate Á Knudsen's minimumSecond-order slip coefficient aMajor semi-axis of ellipse or rectangle (m) aBase width of a trapezoidal, triangular, double-trapezoidal, or rhombic duct (m) bMinor semi-axis of ellipse or rectangle (m) bHeight of a trapezoidal, triangular, double-trapezoidal, or rhombic duct (m) c Short side of a trapezoidal or double-trapezoidal duct (m)Fanning friction factor ¼ sKn Knudsen number ¼ k=D h Kn * Modified Knudsen number = Kn(2 -r)/r L Channel length (m) L Arbitrary length scale _ m Mass flow rate (kg/s) m * Normalized mass flow rate n Correlation parameter P Total wetted perimeter (m) Po Poiseuille number ¼ sL=l " w

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Gas flow in a long microchannel

Cited by 88 publications

References 9 publications

Experimental Analysis of Pressure Drop and Laminar to Turbulent Transition for Gas Flows in Smooth Microtubes

Experimental Analysis of Pressure Drop and Laminar to Turbulent Transition for Gas Flows in Smooth Microtubes

Heat Transfer for Water Flow in Triangular Silicon Microchannels

Second-order gaseous slip flow models in long circular and noncircular microchannels and nanochannels

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