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, 2021
The analytical solution for steady viscous pressure-driven compressible isothermal gas flow through micro- and nanochannels with variable cross section for all Knudsen and all Mach number values is presented in this paper. The continuum one-dimensional
S. Milićev, N. Stevanovic
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The analytical solution for steady viscous pressure-driven compressible isothermal gas flow through micro- and nanochannels with variable cross section for all Knudsen and all Mach number values is presented in this paper. The continuum one-dimensional
S. Milićev, N. Stevanovic
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The Effects of Geometry and Knudsen Numbers on Micro- and Nanochannel Flows
ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels, Volume 2, 2011In this work we use a three dimensional Molecular Dynamics simulation method to study the effect of different geometries and Knudsen number regimes on the gas flow in micro-nanochannels. Argon molecules have been used for the simulations. Thermal wall and diffusive-specular wall types were used for the boundaries of the channels.
Kim, J.H. +3 more
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Approximating Collisional Freestream Attenuation at Transitional Knudsen Numbers
AIAA Journal, 1997When a body such as an instrument package is immersed in a rarefied flowfield, the result is a distortion of the freestream. This perturbation is a stumbling block for code developers seeking reliable experimental data for comparison with flowfield predictors.
King, Lyon B., Gallimore, Alec D.
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Photophoretic force on particles for low Knudsen number
Applied Optics, 1983Calculations are presented for the photophoretic force on a spherical aerosol particle with size much larger than the mean free path of the surrounding gas molecules. Very good agreement is shown with recent experimental data. The results show that both components of the complex refractive index can be inferred from radiometric measurements.
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Flows at Large Knudsen Numbers
1969Free-molecule flow is defined as the flow obtained in the limit when the Knudsen number Kn → ∞. In that case, the Boltzmann equation takes the form (see also §§2.11 and 4.2) $$ \frac{{df}}{{dt}} = \frac{{\partial f}}{{\partial t}} + \xi \cdot \frac{{\partial f}}{{\partial x}} + \frac{X}{m} \cdot \frac{{\partial f}}{{\partial \xi }} = 0 $$ (1.1)
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Orifice flow at high Knudsen numbers
Journal of Fluid Mechanics, 1961Several interesting features of the flow field in free-molecule flow through an orifice are discussed. An estimate is then made of the deviation of the mass flow $\dot{m}$ through the orifice from its limiting free-molecule value $\dot{m}$ for small departures from the limit. Using an iteration method proposed by Willis, it is shown that this deviation
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Brownian coagulation of aerosols at low Knudsen number
Faraday Symposia of the Chemical Society, 1973Dibutyl phthalate aerosols of narrow size distribution have been prepared in a falling-film generator using nitrogen rather than helium as the carrier gas. The Knudsen number in nitrogen is considerably lower so that the Cunningham correction is much less.
Gilbert A. Nicolaon, Milton Kerker
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Flows at Small Knudsen Numbers
1969It was shown in Chapter III (see §§3.6–3.8) that, at internal points of the flow, the Hilbert—Enskog— Chapman expansion gives a solution which converges asymptotically to a solution of the Boltzmann equation for Knudsen numbers tending to zero. However, for an arbitrarily small Knudsen number, there is a region near the boundary in which that series is
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Lubrication Theory at Arbitrary Knudsen Number
Journal of Tribology, 1985It is demonstrated that the slip flow Reynolds equations for ultra low clearance gas bearings can be derived from kinetic theory by an approximation scheme appropriate for arbitrary Knudsen numbers. Thus the usefulness of the slip flow Reynolds equation is extended to cases where it would not be expected to hold.
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Molecular velocity distribution at large Knudsen numbers
Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, 1991It is commonly assumed that the distribution of molecular velocities follows a Maxwellian distribution also in the range of high and ultrahigh vacuum, i.e., at large Knudsen numbers. This distribution is theoretically derived from statistical analysis of an ensemble of molecules with frequent molecule–molecule collisions.
W. Jitschin, G. Reich
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