Journal of Fluid Science and Technology
Online ISSN : 1880-5558
ISSN-L : 1880-5558
Papers
Numerical Investigations of Slip Effects on Rarefied Gas Flows by First and Second-Order Slip Boundaries
Youichi OGATAKoudai MATSUMOTO
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2012 年 7 巻 3 号 p. 374-388

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This paper discusses comparisons of first and second-order slip boundary conditions on the range of Knudsen numbers of some typical MEMS as O(10-3)<Kn<O(10-1) by numerical simulations using the continuum model based on the Navier-Stokes (N-S) equations. Slip flows are solved by the Constrained Interpolation Profile (CIP) method. A numerical method for a simple but general form of a slip boundary condition on a simple planar wall is also introduced. Numerical solutions are in very good agreement with exact solutions of the N-S equations with slip boundaries in two-dimensional Poiseuille flows in the hard sphere (HS) model. The present numerical method is next applied to two and three-dimensional rid-driven cavity flows, employing slip coefficients for the Bhatnagar-Gross-Krook (BGK) model. The results indicate differences of slip effects near walls between the first and second-order slip boundary can also affect whole streamlines and velocity distributions in a closed region with increasing the Knudsen number.

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© 2012 by The Japan Society of Mechanical Engineers
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