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Dispersion Relations in Rarefied Gas Dynamics
The Physics of Fluids, 1963The one-dimensional initial-value problem of a monatomic single component gas is considered. Using the linearized Boltzmann equation the dispersion relation is studied. In addition to the usual gas-dynamic sound waves, one finds an infinity of decaying propagating waves. The phenomenon exhibits itself as a sequence of epochs, the last state of which is
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Rarefied-Gas Flow in the Knudsen Layer
The Physics of Fluids, 1968Discrete 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, 1968An 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, 2003Numerical 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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Interferometry in Rarefied Gas Flows
1993A 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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Reduced order modeling-based discrete unified gas kinetic scheme for rarefied gas flows
Physics of Fluids, 2020X Zhao, Z Chen, Liming Yang
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Generalized description of the Knudsen layer thickness in rarefied gas flows
Physics of Fluids, 2021Hassan Akhlaghi, Ehsan Roohi
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