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Rarefied-Gas Flow in the Knudsen Layer

The Physics of Fluids, 1968
Discrete ordinate method has been applied to the Bhatnagar-Gross-Krook model to analyze the velocity field in the Knudsen layer. An exact relation between the macroscopic velocity at the plate and the shear stress has been obtained. The method also provides accurate numerical results for quantities of interest such as slip coefficient.
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Plane Poiseuille Flow of a Rarefied Gas

The Physics of Fluids, 1968
An analytical solution to the problem of rarefied gas flow in a channel is obtained by the moment method. The expected minimum in volume flow rate is found; the flow rate exhibits an algebraic instead of a logarithmic singularity at low pressures. Present results are compared with the results from other theories and with measurements.
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Thermophoresis in Rarefied Gas Flows

AIP Conference Proceedings, 2003
Numerical calculations are presented for the thermophoretic force acting on a motionless, spherical particle suspended in a quiescent, rarefied gas between parallel plates of unequal temperature. The rarefied‐gas heat flux and temperature profiles are calculated with the Direct Simulation Monte Carlo (DSMC) method, which provides a time‐averaged ...
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Flow of Rarefied Gas through a Circular Pipe

The Physics of Fluids, 1968
The asymptotic behavior at small Knudsen number for two problems involving the flow of rarefied gas through a circular pipe, Poiseuille flow and thermal creep is treated using the Boltzmann-Krook equation. By a matching procedure the outer solution for the continuum regime and the solution for the Knudsen layer are determined simultaneously.
Sone, Y., Yamamoto, Kyoji
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Phenomenology of Rarefied Gas Flows

1991
Abstract Until now we have been concerned only with phenomena in a dilute gas, which means that we have neglected all effects of boundaries and boundary layers.
Frederick R W Mccourt   +3 more
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Rarefied gas flow in a cylindrical annulus

Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, 1983
The Hansen–Morse model of the linearized Wang Chang–Uhlenbeck equation is used to study the thermal transpiration and mechanocaloric effects for rarefied polyatomic gases in a cylindrical annulus, where boundary conditions are characterized by diffuse reflection.
S. S. Lo, S. K. Loyalka, T. S. Storvick
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On the Rarefied Gas Flow in Pipes

Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2005
Rarefied gas flow in a pipe is treated in the paper by modeling the slip boundary condition by means of a fractional derivative. At that the order of the derivative is conveniently chosen to be a function of the average value of the Knudsen number so that the entire Knudsen number range, from continuum flow to free molecular flow, is covered. Very good
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Flow Induced by Thermal Stress in Rarefied Gas

The Physics of Fluids, 1972
A new kind of mechanism which induces a flow around a solid body in a slightly rarefied gas is proposed. In order to demonstrate the flow induced by this mechanism the behavior of gas around a sphere with a constant temperature which is placed in an infinite expanse of gas at rest with a uniform temperature gradient is investigated on the basis of the ...
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The Study of Transition Flow of Rarefied Gas

Chemical engineering, 1970
従来, 気体の遷移域における流動式は, 層流, 分子流の和の形としてよく用いられている。この研究はそれらの流動式が流相を明確に表わしていないので, 流相の明確な流動式を求めたものである。そしてその流動式に含まれる遷移流因子ともいうべきものが, Kn数の逆数と如何なる関係にあるかを実験的に求めた。結論として我々の求めた流動式は層流から分子流にいたる全範囲において気体の流動をよく表わすものと思われる。
Satoru Iuchi, Tatsuo Kanki
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Interferometry in Rarefied Gas Flows

1993
A survey is given on optical interferometry using a Wollaston prism differential interferometer. With a number of selected examples, its potential, especially in the field of low density flow diagnostics, is demonstrated. In the first part, differential interferometry with spark light sources is treated and is shown to be a very effective means for ...
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