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HEAT TRANSFER IN NANOCHANNELS, MICROCHANNELS, AND MINICHANNELS

Gas Microflows in the Slip Flow Regime: A Critical Review on Convective Heat Transfer

[+] Author and Article Information
Stéphane Colin

 Université de Toulouse; INSA, UPS, Mines Albi, ISAE; ICA (Institut Clément Ader), 135 avenue de Rangueil, F-31077 Toulouse, France e-mail:stephane.colin@insa-toulouse.fr

J. Heat Transfer 134(2), 020908 (Dec 19, 2011) (13 pages) doi:10.1115/1.4005063 History: Received January 11, 2011; Revised August 17, 2011; Published December 19, 2011; Online December 19, 2011

Accurate modeling of gas microvection is crucial for a lot of MEMS applications (microheat exchangers, pressure gauges, fluidic microactuators for active control of aerodynamic flows, mass flow and temperature microsensors, micropumps, and microsystems for mixing or separation for local gas analysis, mass spectrometers, vacuum, and dosing valves…). Gas flows in microsystems are often in the slip flow regime, characterized by a moderate rarefaction with a Knudsen number of the order of 10−2 –10−1 . In this regime, velocity slip and temperature jump at the walls play a major role in heat transfer. This paper presents a state of the art review on convective heat transfer in microchannels, focusing on rarefaction effects in the slip flow regime. Analytical and numerical models are compared for various microchannel geometries and heat transfer conditions (constant heat flux or constant wall temperature). The validity of simplifying assumptions is detailed and the role played by the kind of velocity slip and temperature jump boundary conditions is shown. The influence of specific effects, such as viscous dissipation, axial conduction and variable fluid properties is also discussed.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Different cross-sections of microchannels considered in this review

Grahic Jump Location
Figure 2

Nusselt number for a fully developed flow in a microtube with uniform wall heat flux as a function of Knudsen number. Pr=0.7, γ=1.4, σu=σT=1.

Grahic Jump Location
Figure 3

Nusselt number for a fully developed flow in a microtube with uniform wall temperature as a function of Knudsen number. Pr=0.7, γ=1.4, σu=σT=1.

Grahic Jump Location
Figure 4

Fully developed Nusselt number for a parallel plate microchannel flow with uniform heat flux as a function of Knudsen number. Pr=0.7, γ=1.4, σu=σT=1.

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