NDLI: Modeling oscillatory flows in the transition regime using a high-order moment method

Content Provider	Springer Nature Link
Author	Gu, Xiao Jun Emerson, David R.
Copyright Year	2010
Abstract	We present results using three different continuum-based models to study oscillatory flow in the transition regime. Data obtained from numerical solutions of the Boltzmann equation and the direct simulation Monte Carlo method, are used to assess the ability of the continuum models to capture important rarefaction effects. We further highlight the need to consider two Knudsen numbers: one based upon the length scale and the other upon the time scale. It is found that the regularized 26 moment model can follow kinetic theory in the early transition regime in terms of both Knudsen numbers but the regularized 13 moment equations can only be used up to the upper limit of the hydrodynamic regime. However, the subtle interplay of the length and time scales on oscillatory non-equilibrium flow causes the Navier–Stokes equations to fail even in the hydrodynamic regime. In addition, the effect of modifying the accommodation coefficient is also considered. It is found that reducing the accommodation coefficient on the stationary wall alone will increase the motion of the gas. However, gaseous movement will be reduced by changing both walls from diffusive to specular reflection.
Starting Page	389
Ending Page	401
Page Count	13
File Format	PDF
ISSN	16134982
Journal	Microfluidics and Nanofluidics
Volume Number	10
Issue Number	2
e-ISSN	16134990
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-07-29
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Stokes’ second problem Couette flow Oscillatory flow Non-equilibrium flow Moment method Rarefied gas Transition flow Knudsen number Biomedical Engineering Industrial Chemistry/Chemical Engineering Engineering Fluid Dynamics
Content Type	Text
Resource Type	Article
Subject	Nanoscience and Nanotechnology Materials Chemistry Condensed Matter Physics Electronic, Optical and Magnetic Materials

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