1966
DOI: 10.1063/1.1761783
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Kinetic Theory of Source Flow Expansion with Application to the Free Jet

Abstract: A systematic approximation has been constructed for the moment equations of kinetic theory which describe source flow expansion. For small source Knudsen number, the moments are expanded and solutions are obtained near the source. These solutions are nonuniformly valid far from the source, breaking down when transition flow is encountered. To analyze the rarefied regime, the equations are rescaled taking account that the flow is hypersonic in the transition regime. This allows us to apply a hypersonic approxim… Show more

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Cited by 179 publications
(74 citation statements)
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“…The electron density also decreases with the square of the axial coordinate. [5][6][7][8][9][10][11][12][13][14][15] In Fig. 4 the experimental values and the modeling results show the same decrease.…”
Section: ͑21͒mentioning
confidence: 54%
“…The electron density also decreases with the square of the axial coordinate. [5][6][7][8][9][10][11][12][13][14][15] In Fig. 4 the experimental values and the modeling results show the same decrease.…”
Section: ͑21͒mentioning
confidence: 54%
“…Figure 2 and Figs. [5][6] show that the most of the inner part of the gas cloud remains in translational equilibrium. This results because the mass density is still high enough in the cloud to equilibrate the translational modes at this initial phase of the gas expansion.…”
Section: Resultsmentioning
confidence: 99%
“…15. SUBJECT anisotropic temperature gas models [5][6][7] This model accounts for translational non-equilibrium effects and is appropriate for these simulations. The equations are solved numerically using the kinetic flux splitting method 8 for the inviscid fluxes and central difference scheme for the dissipative fluxes.…”
Section: Introductionmentioning
confidence: 99%
“…As a matter of fact, our second incentive to resort to a possibly strongly anisotropic freeze-out distribution is the observation of a similar asymmetry, parametrised as two different translation temperatures along the streamlines and perpendicular to them, in hypersonic nonrelativistic flows [24].…”
Section: Motivationmentioning
confidence: 99%