tailieunhanh - Acoustic Waves From Microdevices to Helioseismology Part 4

Tham khảo tài liệu 'acoustic waves from microdevices to helioseismology part 4', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 108 Acoustic Waves - From Microdevices to Helioseismology 0f is about -20 using the flat surface approximation. This is a crude estimate because the solar surface potential drop occurs over a distance of the order of the Jeans scale where the effect of curvature should not be ignored. The numerically obtained solar surface potential is quite a bit smaller than the floating potential. Simply put this means that the defined SSB of the GES-model draws a finite amount of electron-dominated electric current that flows toward the heliocenter. Let us invoke a generalized concept of the plasma sheath which is traditionally associated with a localized electrostatic potential only in the plasma physics community. We argue that any localized nonneutral space charge layer in our case on the order of the Jeans length is the result of a self-consistent nonlinear coupling of gravito-electrostatic force field variations. This is what we mean by the GES which of course obeys the global quasineutrality condition because of the smallness of the ratio ẢDeỊẢị for the SIP parameters. Acceleration of solar interior plasma Basic equations for SWP descriptions We have already argued that the subsonic origin of the SWP from the SSB is an outcome of the condition of quasi-hydrostatic equilibrium at the boundary. This is a result of the comparable but competiting strengths of the gravitational deceleration and the electrostatic acceleration of the SIP near the SSB. Now we will try to look at the problem of solar wind acceleration from subsonic to supersonic speed. This is referred to as the transonic transition behavior of the outward-moving SIP in the form of the SWP. Let us now argue that the radial variation of Mach number and electrostatic potential beyond the defined SSB should be described by the following autonomous set of coupled nonlinear differential equations X 1 dM E ví M2 de _ 2 1 GM p----------2. 2222. dí T í í2 CJ de 1 dM 2 n - . . 0 dí M dí í and 40 41 Let us note .