1979
DOI: 10.1029/ja084ia08p04341
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High‐altitude gas releases: transition from collisionless flow to diffusive flow in a nonuniform atmosphere

Abstract: Vapors, released at high altitudes from rockets or the Space Shuttle, may travel many hundreds of kilometers before coming to rest. An understanding of the effects produced by these releases requires knowledge of the vapor flow. In the tenuous upper atmosphere, the injected gases expand from a collisionless to a collision‐dominated state. In this paper, this process is described by the Boltzmann equation with the Krook collision integral. The theory is applied to supersonic releases into a nonuniform atmospher… Show more

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Cited by 47 publications
(20 citation statements)
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“…Then T‐2 is almost as fast as the exhaust effusion, and we can neglect initial velocity of water molecules. Even if they have initial velocity of up to a few kilometers per second, it would not much influence the simulation because the typical travel distance of noncollisional flow, which precedes the onset of diffusion, would not exceed a few tens of kilometers under the present situation [ Bernhardt , 1979b].…”
Section: Model Of the Ionospheric Hole Formation By Taepodong‐2mentioning
confidence: 99%
“…Then T‐2 is almost as fast as the exhaust effusion, and we can neglect initial velocity of water molecules. Even if they have initial velocity of up to a few kilometers per second, it would not much influence the simulation because the typical travel distance of noncollisional flow, which precedes the onset of diffusion, would not exceed a few tens of kilometers under the present situation [ Bernhardt , 1979b].…”
Section: Model Of the Ionospheric Hole Formation By Taepodong‐2mentioning
confidence: 99%
“…1 inset), the exhaust molecules should have had substantial backward velocity below that altitude. Here we neglected it because the typical travel distance of non-collisional flow, which precedes the onset of diffusion, does not exceed a few tens of kilometers under the present situation (Bernhardt, 1979b). We approximate continuous gas effusion from the rocket with a series of discrete point sources put along the track with a 10 second separation.…”
Section: Diffusion Of H 2 Omentioning
confidence: 99%
“…The collision frequency (ν in ) for ions moving through a neutral background has a strong dependence on the ion speed (V i ). An approximation to this dependence is given by Bernhardt [1979] as where v n = (kT n /m n ) 1/2 = 715 m/s is the neutral sound speed, m n = 16 amu is the background neutral mass, and m i = 18 amu is the ion mass. For the atmospheric conditions in the SIMPLEX II experiment, this collision frequency at the altitude of the space shuttle ranges from 0.36 to 3.44 s −1 for ion speeds from 0 to 10.8 km/s.…”
Section: Theoretical Interpretationsmentioning
confidence: 99%
“…The collision frequency (n in ) for ions moving through a neutral background has a strong dependence on the ion speed (V i ). An approximation to this dependence is given by Bernhardt [1979] as…”
Section: Theoretical Interpretationsmentioning
confidence: 99%