The concept of slip length, related to surface velocity and shear rate, is often used to analyze the slip surface property for flow in micro- or nanochannels. In this study, a hybrid scheme that couples molecular dynamics simulation (used near the solid boundary to include the surface effect) and a continuum solution (to study the fluid mechanics) is validated and used for the study of slip length behavior in the Couette flow problem. By varying the height of the channel across multiple length scales, we investigate the effect of channel scale on surface slip length. In addition, by changing the velocity of the moving-solid wall, the influence of shear rate on the slip length is studied. The results show that within a certain range of the channel heights, the slip length is size dependent. This upper bound of the channel height can vary with the shear rate. Under different magnitudes of moving velocities and channel heights, a relative slip length can be introduced, which changes with channel height following a logarithmic function, with the coefficients of the function being the properties of the fluid and wall materials.
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e-mail: xiaofan@ksu.edu
e-mail: zzheng@ksu.edu
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June 2010
Research Papers
Effects of Channel Scale on Slip Length of Flow in Micro/Nanochannels
Xiaofan Yang,
Xiaofan Yang
Department of Mechanical and Nuclear Engineering,
e-mail: xiaofan@ksu.edu
Kansas State University
, Manhattan, KS 66506
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Zhongquan C. Zheng
Zhongquan C. Zheng
Department of Mechanical and Nuclear Engineering,
e-mail: zzheng@ksu.edu
Kansas State University
, Manhattan, KS 66506
Search for other works by this author on:
Xiaofan Yang
Department of Mechanical and Nuclear Engineering,
Kansas State University
, Manhattan, KS 66506e-mail: xiaofan@ksu.edu
Zhongquan C. Zheng
Department of Mechanical and Nuclear Engineering,
Kansas State University
, Manhattan, KS 66506e-mail: zzheng@ksu.edu
J. Fluids Eng. Jun 2010, 132(6): 061201 (6 pages)
Published Online: May 19, 2010
Article history
Received:
August 14, 2009
Revised:
April 14, 2010
Online:
May 19, 2010
Published:
May 19, 2010
Citation
Yang, X., and Zheng, Z. C. (May 19, 2010). "Effects of Channel Scale on Slip Length of Flow in Micro/Nanochannels." ASME. J. Fluids Eng. June 2010; 132(6): 061201. https://doi.org/10.1115/1.4001619
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