Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-28T07:37:20.987Z Has data issue: false hasContentIssue false
  • English
  • Français

Rarefaction Effect on Gas Flow in Microchannels with Various Aspect Ratios

Published online by Cambridge University Press:  01 July 2016

C.-Y. Huang  and
J.-S. Li
C.-Y. Huang*
Affiliation:
Department of Power Mechanical EngineeringNational Tsing Hua UniversityHsinchu, Taiwan
J.-S. Li
Affiliation:
Department of Power Mechanical EngineeringNational Tsing Hua UniversityHsinchu, Taiwan
*
*Corresponding author ([email protected])
Get access

Abstract

This study investigated the effect of rarefaction on microchannel gas flow by measuring pressure profiles in microchannels with various aspect ratios. Pressure-sensitive paint (PSP) was applied in rectangular microchannels to obtain the global flow field by using detailed pressure data. The effect of rarefaction on the microchannel gas flow was clearly observed in the microchannels through the pressure data obtained using PSP measurements. A nonlinear pressure distribution was observed inside the microchannels, and this distribution decreased as the Knudsen number (Kn) increased because of the rarefaction effect. The dimensionless pressure deviation from the linear assumption dropped from 0.25 to 0 when the outlet Kn number increased to 0.066 in the 100-μm-wide microchannel, and the dimensionless location of the maximum deviation moved upstream because of the gaseous slip at the wall. The nonlinear pressure distribution also decreased in the 50-μm-wide microchannel as the outlet Kn number increased; however, the peak of the maximum deviation could no longer be identified because of the characteristic of the narrow channel.

Keywords

Gas flowMicrochannelPressure-sensitive paint (PSP)Rarefaction effect
Type
Technical Note
Information
Journal of Mechanics , Volume 33 , Issue 1 , February 2017 , pp. N1 - N6
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Pong, K., Ho, C., Liu, J. and Tai, Y., “Non-Linear Pressure Distribution in Uniform Microchannels,” Application of Microfabrication to Fluid Mechanics, 197, pp. 51–51 (1994).Google Scholar
2. Arkilic, E. B., Schmidt, M. A. and Breuer, K. S., “Gaseous Slip Flow in Long Microchannels,” Journal of Microelectromech Systems, 6, pp. 167–178 (1997).Google Scholar
3. Hsieh, S. S., Tsai, H. H., Lin, C. Y., Huang, C. F. and Chien, C. M., “Gas Flow in a Long Microchannel,” International Journal Heat and Mass Transfer, 47, pp. 3877–3887 (2004).Google Scholar
4. Karniadakis, G. and Beskok, A., “Micro Flows: Fundamentals and Simulation,” Applied Mechanics Reviews, 55, p. 76 (2002).Google Scholar
5. Colin, S., Lalonde, P. and Caen, R., “Validation of a Second-Order Slip Flow Model in Rectangular Microchannels,” Heat Transfer Engineering, 25, pp. 23–30, (2004).CrossRefGoogle Scholar
6. Wereley, S. T. and Jang, J., “Pressure Distributions of Gaseous Slip Flow in Straight and Uniform Rectangular Microchannels,” Microfluid Nanofluid, 1, pp. 41–51 (2004).Google Scholar
7. Liu, T. and Sullivan, J. P., Pressure and Temperature Sensitive Paints, Springer-Verlag: Berlin (2004).Google Scholar
8. Huang, C., Gregory, J. and Sullivan, J., “Microchannel Pressure Measurements Using Molecular Sensors,” Journal of Microelectromech Systems, 16, pp. 777–785 (2007).Google Scholar
9. Huang, C., Gregory, J. and Sullivan, J., “Flow Visualization and Pressure Measurement in Micronozzles,” Journal of Visualization, 10, pp. 281–288 (2007).Google Scholar
10. Huang, C., Li, C., Wang, H. and Liou, T., “The Application of Temperature-Sensitive Paints for Surface and Fluid Temperature Measurements in Both Thermal Developing and Fully Developed Regions of a Microchannel,” Journal of Micromechanics and Microengineering, 23, 037001 (2013).Google Scholar
11. Huang, C. Y., Li, C. A., Huang, B. H. and Liou, T. M., “The Study of Temperature Rise in a 90-Degree Sharp Bend Microchannel Flow Under Constant Wall Temperature Condition,” Journal of Mechanics, 30, pp. 661–666 (2014).CrossRefGoogle Scholar
12. Guo, X. H., Huang, C. Y., Alexeenko, A. and Sullivan, J., “Numerical and Experimental Study of Gas Flows in 2D and 3D Microchannels,” Journal of Micromechanics and Microengineering, 18, 025034, (2008).CrossRefGoogle Scholar
13. Huang, C. Y. and Lai, C. M., “Pressure Measurements with Molecule-Based Pressure Sensors in Straight and Constricted PDMS Microchannels,” Journal of Micromechanics and Microengineering, 22, 065021 (2012).CrossRefGoogle Scholar