Effects of Compressibility and Rarefaction on Gaseous Flows in Microchannels

Kavehpour, H. Pirouz; Faghri, Mohammad; Asako, Yutaka

doi:10.1080/10407789708913912

Cited by 126 publications

(57 citation statements)

References 10 publications

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“…to consider the effect of rarefaction on microscale flow [10] while good agreements are obtained with experimental measurements [11]. Most of the existing studies on microscale heat transfer successfully used Eqs.…”

Section: Contents Lists Available At Sciencedirectmentioning

confidence: 99%

Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects

Barışık

Yazıcıoğlu

Çetin

et al. 2015

International Communications in Heat and Mass Transfer

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The solution of extended Graetz problem for micro-scale gas flows is performed by coupling of rarefaction, axial conduction and viscous dissipation at slip flow regime. The analytical coupling achieved by using Gram-Schmidt orthogonalization technique provides interrelated appearance of corresponding effects through the variation of non-dimensional numbers. The developing temperature field is determined by solving the energy equation locally together with the fully developed flow profile. Analytical solutions of local temperature distribution, and local and fully developed Nusselt number are obtained in terms of dimensionless parameters: Peclet number, Knudsen number, Brinkman number, and the parameter Kappa accounting temperature-jump. The results indicate that the Nusselt number decreases with increasing Knudsen number as a result of the increase of temperature jump at the wall. For low Peclet number values, temperature gradients and the resulting temperature jump at the pipe wall cause Knudsen number to develop higher effect on flow. Axial conduction should not be neglected for Peclet number values less than 100 for all cases without viscous dissipation, and for short pipes with viscous dissipation. The effect of viscous heating should be considered even for small Brinkman number values with large length over diameter ratios. For a fixed Kappa value, the deviation from continuum increases with increasing rarefaction, and Nusselt number values decrease with an increase in Knudsen number.

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Section: Contents Lists Available At Sciencedirectmentioning

confidence: 99%

Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects

Barışık

Yazıcıoğlu

Çetin

et al. 2015

International Communications in Heat and Mass Transfer

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“…Gaseous steady flows in long microducts have been numerically [5][6][7][8][9][10][11], analytically, and experimentally [2,[12][13][14][15][16][17][18][19][20][21][22][23][24][25] studied by several authors. In microducts, the Knudsen number…”

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confidence: 99%

Validation of a Second-Order Slip Flow Model in Rectangular Microchannels

Colin

Lalonde

Caen

2004

Heat Transfer Engineering

232

173

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“…Kavehpour et al [6] and Chen et al [7] studied the effects of compressibility and rarefaction on gaseous flows in mcirochannels. Two-dimensional compressible forms of momentum and energy equations were solved with slip velocity and temperature jump boundary conditions in a parallel plate microchannel.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Isothermal Gaseous Flows in Microchannel

Cao

Chen

et al. 2006

Chem Eng & Technol

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Two-dimensional compressible momentum equations were solved by a perturbation analysis and the PISO algorithm to investigate the effects of compressibility and rarefaction on the local flow resistance of isothermal gas flow in circular microchannels. The computations were performed for a wide range of Reynolds numbers and inlet Mach numbers. The explicit expression of the normalized local Fanning friction factor along the microchannel was derived in the present paper. The results reveal that the local Fanning friction factor is a function of the inlet Mach number, the Reynolds number and the length-diameter ratio of the channel. For larger Reynolds and inlet Mach numbers, the friction coefficient in the microchannel is higher than the value in a macrotube, and the gas flow in the microchannel is dominated only by compressibility. For smaller Reynolds and inlet Mach numbers, the Fanning friction factor of gas flow in the microchannel is lower than that in a circular tube of conventional size due to slip flow at the wall and thus, rarefaction has a significant effect on the fluid flow characteristics in a microchannel.

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Effects of Compressibility and Rarefaction on Gaseous Flows in Microchannels

Cited by 126 publications

References 10 publications

Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects

Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects

Validation of a Second-Order Slip Flow Model in Rectangular Microchannels

Numerical Analysis of Isothermal Gaseous Flows in Microchannel

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