Cylindrical Couette gas flow in the noncontinuum regime has been investigated using the boundary treatment derived from Maxwell’s slip-flow model. It is shown that the tangential momentum accommodation coefficient plays an important role in determining the predicted velocity profile. The present analysis is in close agreement with previous analytical studies and shows good qualitative agreement with available direct simulation Monte Carlo data. The results predict the presence of an inverted velocity profile for the case where the inner cylinder rotates and the outer cylinder is stationary. However, our analysis further shows that the phenomenon of velocity inversion is only dependent on the accommodation coefficient of the outer cylinder. From the analysis, we derive specific criteria for the accommodation coefficient of the outer cylinder under which (i) no velocity inversion will take place, (ii) a partially inverted velocity profile will be observed, and (iii) a fully inverted velocity profile will be present. In contrast, when the outer cylinder rotates and the inner cylinder is stationary, it is shown that velocity inversion does not occur.
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April 2005
Research Article|
March 10 2005
Inverted velocity profiles in rarefied cylindrical Couette gas flow and the impact of the accommodation coefficient
Sun Yuhong;
Sun Yuhong
Centre for Microfluidics and Microsystems Modelling,
CCLRC Daresbury Laboratory
, Warrington WA4 4AD, United Kingdom
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Robert W. Barber;
Robert W. Barber
Centre for Microfluidics and Microsystems Modelling,
CCLRC Daresbury Laboratory
, Warrington WA4 4AD, United Kingdom
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David R. Emerson
David R. Emerson
a)
Centre for Microfluidics and Microsystems Modelling,
CCLRC Daresbury Laboratory
, Warrington WA4 4AD, United Kingdom
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a)
Author to whom correspondence should be addressed. Telephone: +44 (0)1925 603221. Fax: +44 (0)1925 603634. Electronic mail: d.r.emerson@dl.ac.uk
Physics of Fluids 17, 047102 (2005)
Article history
Received:
June 14 2004
Accepted:
January 18 2005
Citation
Sun Yuhong, Robert W. Barber, David R. Emerson; Inverted velocity profiles in rarefied cylindrical Couette gas flow and the impact of the accommodation coefficient. Physics of Fluids 1 April 2005; 17 (4): 047102. https://doi.org/10.1063/1.1868034
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