# Bulk equations and Knudsen layers for the regularized 13 moment equations

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A practical method for solving the nonequilibrium rarefied gas flows is introduced in this paper. This method based on the multi-scale analysis connects the thermofluid phenomena that occur in the different time scale and spatial scale by constructing the reasonable physical model among them. ...

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The nonlinear processes of heat and mass transfer in a rarefied gas confined between two infinite parallel plates maintained at different temperatures and moving at a relative velocity are considered. The profiles of the gas macroscopic flow velocity, density, temperature, heat fluxes, and shear...

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Two-dimensional hypersonic rarefied gas flow around blunt bodies is investigated for the continuum to free-molecular transition regime. In [1], as a result of an asymptotic analysis, three rarefied gas flow regimes, depending on the relationship between the problem parameters, were detected and...

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Poiseuille and thermal creep flows between two walls, on which grooves are engraved periodically parallel or normal to the pressure or temperature gradient, are investigated numerically using the linearized B-G-K equation. It is found that the flux between two walls is considerably low compared...

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The general form of Maxwellâ€™s velocity slip boundary condition for rarefied gas flows depends on both the geometry of the surface and the constitutive relations used to relate the viscous stress to rate of strain. The dependence on geometry is often overlooked in current rarefied flow...

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A numerical method based on a model kinetic equation was developed for computing diatomic rarefied gas flows in two dimensions. Nitrogen flows through a plane microchannel were computed, and the gas flow rate was constructed as a function of the Knudsen number for various channel lengths.

- End effects in rarefied gas outflow into vacuum through a long tube. Titarev, V.; Shakhov, E. // Fluid Dynamics;Sep2013, Vol. 48 Issue 5, p697
The problem of steady outflow of rarefied gas from a reservoir into vacuum through a long cylindrical tube of circular cross-section at a constant temperature is considered on the basis of the kinetic S-model. The kinetic equation is solved numerically using a conservative second-order method....

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Two most adequate models of rough surface are compared â€” fractal model considered in [1] and statistical technique of the account of a roughness in aerodynamic calculation of low-density flows developed in papers of Barantsev and Miroshin in St.-Petersburg University [2] â€“ [5]....

- Motion of nanoparticles in rarefied gas flows. Nanbu, K.; Otsuka, T. // AIP Conference Proceedings;2005, Vol. 762 Issue 1, p821
Solar cells have been made from hydrogenated amorphous silicon (a-Si:H) films. The films including Si nanoparticles by 3% in the volume fraction have been found to possess good properties. In order to find the method to control this volume fraction, the motion of Si nanoparticles in the rarefied...