NDLI: The effect of Knudsen layers on rarefied cylindrical Couette gas flows

Content Provider	Springer Nature Link
Author	Dongari, Nishanth Barber, Robert W. Emerson, David R. Stefav, Stefan K. Zhang, Yonghao Reese, Jason M.
Copyright Year	2012
Abstract	We investigate a power-law probability distribution function to describe the mean free path of rarefied gas molecules in non-planar geometries. A new curvature-dependent model is derived by taking into account the boundary-limiting effects on the molecular mean free path for surfaces with both convex and concave curvatures. The Navier–Stokes constitutive relations and the velocity-slip boundary conditions are then modified based on this power-law scaling through the transport property expressions in terms of the mean free path. Velocity profiles for isothermal cylindrical Couette flow are obtained using this power-law model and compared with direct simulation Monte Carlo (DSMC) data. We demonstrate that our model is more accurate than the classical slip solution, and we are able to capture important non-linear trends associated with the non-equilibrium physics of the Knudsen layer. In addition, we establish a new criterion for the critical accommodation coefficient that leads to the non-intuitive phenomenon of velocity inversion. The power-law model predicts that the critical accommodation coefficient is significantly lower than that calculated using the classical slip solution, and is in good agreement with available DSMC data. Our proposed constitutive scaling for non-planar surfaces is based on simple physical arguments and can be readily implemented in conventional fluid dynamics codes for arbitrary geometric configurations of microfluidic systems.
Starting Page	31
Ending Page	43
Page Count	13
File Format	PDF
ISSN	16134982
Journal	Microfluidics and Nanofluidics
Volume Number	14
Issue Number	1-2
e-ISSN	16134990
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-07-08
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Molecular mean free path Knudsen layer Cylindrical Couette flow Velocity inversion Curvature effects Gas micro flows Rarefied gas dynamics Engineering Fluid Dynamics Biomedical Engineering Analytical Chemistry Nanotechnology and Microengineering
Content Type	Text
Resource Type	Article
Subject	Nanoscience and Nanotechnology Materials Chemistry Condensed Matter Physics Electronic, Optical and Magnetic Materials

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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