1996
DOI: 10.1086/177839
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Solar Wind Flow with Hydrogen Pickup

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Cited by 19 publications
(18 citation statements)
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“…Since the plasma beta in the outer heliosphere is large, thanks to the dominant PUI pressure, we can for the present purposes neglect the interplanetary magnetic field and consider a single‐fluid one‐dimensional (1‐D) hydrodynamic model with charge‐exchange [ Holzer , 1972; Khabibrakhmanov et al , 1996; Zank , 1999], where ψ = (ρ, u , P ) t denotes the plasma density, velocity and pressure of the solar wind, respectively, 〈σ〉 ≃ 5 × 10 −15 cm −2 is the averaged charge‐exchange cross section, N ∼ 0.1 cm −3 is the interstellar neutral hydrogen number density in the outer heliosphere, and γ = 5/3, appropriate to strong scattering of the PUIs, is assumed. The source terms are approximations for the supersonic solar wind.…”
Section: Theorymentioning
confidence: 99%
“…Since the plasma beta in the outer heliosphere is large, thanks to the dominant PUI pressure, we can for the present purposes neglect the interplanetary magnetic field and consider a single‐fluid one‐dimensional (1‐D) hydrodynamic model with charge‐exchange [ Holzer , 1972; Khabibrakhmanov et al , 1996; Zank , 1999], where ψ = (ρ, u , P ) t denotes the plasma density, velocity and pressure of the solar wind, respectively, 〈σ〉 ≃ 5 × 10 −15 cm −2 is the averaged charge‐exchange cross section, N ∼ 0.1 cm −3 is the interstellar neutral hydrogen number density in the outer heliosphere, and γ = 5/3, appropriate to strong scattering of the PUIs, is assumed. The source terms are approximations for the supersonic solar wind.…”
Section: Theorymentioning
confidence: 99%
“…The only assumption that is needed is for the value of the adiabatic index (γ= 2 corresponds to no‐scattering of the PUI distribution, γ= 5/3 corresponds to scattering of the PUIs on to a shell distribution; see e.g. Khabibrakhmanov et al 1996 or section 4.1 of Zank 1999a). The pickup of ions and the creation of new H atoms are included self‐consistently through source integrals in the plasma momentum and energy equations (Holzer 1972; Pauls, Zank & Williams 1995).…”
Section: Introductionmentioning
confidence: 99%
“…However, collisional frequencies are so low for the SW that we may neglect these collisional terms and treat the distribution function (10) as "frozen" into the plasma. Even though the solar wind is effectively collisionless, an MHD approach is still warranted since the plasma has fluid properties perpendicular to the magnetic field, while various wave phenomena help isotropize the distribution (see for example Khabibrakhmanov et al 1996;Kulsrud 1984). For these reasons, solve the regular MHD equations to determine the bulk plasma quantities, but in the inner heliosheath they interpret these as having come from (10).…”
Section: Mathematical Formulation For Modeling the Solar Wind-lism Inmentioning
confidence: 99%