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Thermophoresis in Rarefied Gas Flows

Aerosol Science and Technology, 2002
Numerical calculations are presented for the thermophoretic force acting on a free-molecular, motionless, spherical particle suspended in a rarefied gas flow between parallel plates of unequal temperature. The rarefied gas flow is calculated with the direct simulation Monte Carlo (DSMC) method, which provides a time-averaged approximation to the local ...
M. A. Gallis   +2 more
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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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Flow of Rarefied Gas over Plane Wall

The Physics of Fluids, 1970
Flow of rarefied gas over an infinite plane wall on the basis of a relaxation model of the Boltzmann equation is considered. The solution is obtained in the form: Hilbert solution and boundary layer term which is appreciable only in a thin layer (with thickness of order of the mean free path) adjacent to the boundary.
Sone, Yoshio, Yamamoto, Kyoji
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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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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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Cylindrical Poiseuille Flow of a Rarefied Gas

The Physics of Fluids, 1966
The Poiseuille flow of a rarefied gas in a cylindrical tube is analyzed numerically for an inverse Knudsen number ranging from 0–10. The Bhatnagar, Gross, and Krook model is used and the transport integro-differential equation is reduced to a purely integral one, which is solved numerically. The plot of the volume flow rate versus the pressure is shown
Carlo Cercignani, Franco Sernagiotto
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Similarity of Microscale and Rarefied Gas Flows

ASME 3rd International Conference on Microchannels and Minichannels, Parts A and B, 2005
The similarity between micro gas flow and rarefied gas flow was numerically investigated using a DSMC method. With compressibility and rarefaction effects, the similarity parameters are the Mach number and the Knudsen number, since the Reynolds number is dependent on the Mach number and the Knudsen number for an ideal gas.
Xudong Lan, Zhixin Li, Moran Wang
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