Journal ArticleDOI
Numerical Evaluation of the Slip Coefficient
TLDR
In this article, a numerical quadrature using the exact analytical formula, which is obtained from the Gross-Bhatnagar-Krook model, was used to evaluate the slip coefficient.Abstract:
The slip coefficient is evaluated by a numerical quadrature using the exact analytical formula, which is obtained from the Gross‐Bhatnagar‐Krook model. The obtained value z=1.1466(5)l, which is exact to the fourth decimal figure, is compared with the previous results.read more
Citations
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Journal ArticleDOI
Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)
Journal ArticleDOI
Gas flow in micro-channels
TL;DR: In this article, an experimental and theoretical investigation of low Reynolds number, high subsonic Mach number, compressible gas flow in channels was presented, and the measured friction factor was in good agreement with theoretical predictions assuming isothermal, locally fully developed, first-order slip flow.
Journal ArticleDOI
Molecular momentum transport at fluid-solid interfaces in MEMS/NEMS: a review.
TL;DR: This review offers an overview of the major achievements, including experiments, theories and molecular dynamics simulations, in the field with particular emphasis on the effects on microfluidics and nanofluidics in nanoscience and nanotechnology.
Journal ArticleDOI
A review on slip models for gas microflows
TL;DR: In this article, a review of various slip models obtained from different theoretical, computational and experimental studies for gas microflows is presented, which reveal the discrepancies arising from different definitions in the first-order slip coefficient and various approaches to determine the second order slip coefficient.
Journal ArticleDOI
Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules
TL;DR: In this article, the authors derived the shear and thermal creep slip coefficients and their associated Knudsen layers of a slightly rarefied gas flow past a body using the finite difference method.
References
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Journal ArticleDOI
Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)
Journal ArticleDOI
On Stresses in Rarified Gases arising from Inequalities of Temperature
TL;DR: In this paper, it was shown that the difference between the maximum and the minimum pressure at a point may be of considerable magnitude when the density of the gas is small enough, and when the inequalities of temperature are produced by small solid bodies at a higher or lower temperature than the vessel containing the gas.
Journal ArticleDOI
On the theory of stationary waves in plasmas
TL;DR: In this paper, it is shown that the dispersion equation can be overcome by a proper treatment, which leads to a complete set of stationary solutions, which are much more numerous than the usual plasma oscillations.
Journal ArticleDOI
Elementary solutions of the transport equation and their applications
TL;DR: In this article, a new method of treating problems involving the transport equation is discussed, starting from Van Kampen's observation that it is sufficient that "solutions" be distributions, the elementary solutions of the homogeneous equation are considered.