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Flows at Small Knudsen Numbers

1969
It 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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Jet loads on a plate with different Knudsen numbers

Physics of Fluids, 2018
This short note presents investigations on two sets of coefficients for gaseous jet loads at an inclined flat plate. These load coefficients are derived at the collisionless flow limit. The plate surface can be diffusive or specularly reflective. The coefficients include total pressure, friction, heat flux, moment, and the distances from the force to ...
S. Cai, C. Cai, J. Li
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Molecular simulation of small Knudsen number flows

AIP Conference Proceedings, 2012
The direct simulation Monte Carlo (DSMC) method is a powerful particle-based method for modeling gas flows. It works well for relatively large Knudsen (Kn) numbers, typically larger than 0.01, but quickly becomes computationally intensive as Kn decreases due to its time step and cell size limitations.
Fei Fei, Jing Fan
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Particle interactions in low knudsen number thermophoresis

Journal of Aerosol Science, 1975
Abstract A continuum-slip analysis of particle interactions in thermophoretic flows is presented. Two particle, as well as particle-wall, interactions are studied. Of particular interest is the hydrodynamic behavior of an aerosol particle undergoing thermal deposition. Corrections to the steady thermophoretic force and the corresponding velocity of a
L.D. Reed, F.A. Morrison
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Experimental Analyses of High Knudsen Number Flows

International Journal of Emerging Multidisciplinary Fluid Sciences, 2009
In late years, the necessity of high Knudsen number flows, such as highly rarefied gas flows with large mean free path and gaseous flows around nanodevices with small characteristic length have increased significantly, especially in fields of researches on space technology, surface science, fabrication of thin film for semi-conductor and so on. In this
Tomohide Niimi   +3 more
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On evaporation of a spherical particle at arbitrary Knudsen numbers

Doklady Physics, 2001
The description of drop growth in certain devices or under natural conditions (e.g., in clouds), as well as of thermophoresis and diffusiophoresis phenomena, needs a quantitative theory capable of treating the gas flow around a particle immersed in gas aerosol in a wide range of Knudsen numbers.
Yu. I. Yalamov, E. I. Alekhin
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Gaseous flow in microtubes at arbitrary Knudsen numbers

Nanotechnology, 1999
New models that describe gas flow behaviour in microtubes are presented. To avoid time-consuming calculations in solving the integral equation which is obtained from the microscopic point of view, the high-order slip-flow boundary condition is utilized to correct the gas flow in such a micron or submicron spacing.
Cheng-I Weng   +2 more
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Thermomolecular pressure difference at low knudsen numbers

Journal of Engineering Physics, 1973
The experimental dependence of the thermomolecular pressure difference on the average pressure is found for He, Ne, H2, and D2 in the viscous-flow regime (Kn−1=100–500). The experimental data are compared with analytic expressions in the literature.
S. F. Borisov   +4 more
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Simulations of High Knudsen Number Flows in a Channel-Wedge Configuration

AIAA Journal, 1997
A rarefied hypersonic flow through a channel containing a wedge is simulated using the combined direct simulation Monte Carlo and monotonic Lagrangian grid methodologies on the massively parallel Connection Machine. Numerical issues related to the effects of resolution in terms of the simulated to actual particle ratio and the use of time averaging to ...
Nguyen, Thuong X.   +4 more
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The diffusion force in the transition region of knudsen number

Journal of Colloid and Interface Science, 1968
Abstract The free molecule theory of the diffusion Force is reviewed briefly. The theory of the diffusion Force in the transition region is developed for binary mixtures for equimolar counterdiffusion and for diffusion of one component of the mixture through the second stagnant component. The transition region theory of the diffusion Force appears to
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