TITLE

Unified one-dimensional model of bounded plasma with nonzero ion temperature in a broad pressure range

AUTHOR(S)
Palacio Mizrahi, J. H.; Gurovich, V. Tz.; Krasik, Ya. E.
PUB. DATE
March 2013
SOURCE
Physics of Plasmas;Mar2013, Vol. 20 Issue 3, p032116
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A one-dimensional model for steady state plasmas bounded either between large parallel walls, or by a cylinder or a sphere, valid in a wide range of gas pressures, is considered. The model includes nonzero ion temperature, inertial terms in the ion momentum equations, and allows one to calculate the plasma electron temperature and ion current density reaching the wall, as well as the spatial distributions of the ion fluid velocity, plasma density, and plasma potential in the plasma bulk. In addition, the effect of electron inertia is analyzed. The model includes as particular cases several earlier models that were based on a similar set of differential equations, but that are restricted to a specific pressure regime (low, intermediate, or high). Analytical solution is found in planar geometry, and numerical solution is given in cylindrical and spherical geometry. The results obtained are compared with those of earlier models and the differences are analyzed.
ACCESSION #
86447108

 

Related Articles

  • Exponential Decay for Nonlinear von Kármán Equations with Memory. Jum-Ran Kang // Abstract & Applied Analysis;2013, p1 

    We consider the nonlinear von K'arm'an equations withmemory term. We show the exponential decay result of solutions. Our result is established without imposing the usual relation between g and its derivative. This result improves on earlier ones concerning the exponential decay.

  • Numerical solutions of sheath structures in front of an electron-emitting electrode immersed in a low-density plasma. Din, Alif // Physics of Plasmas;Sep2013, Vol. 20 Issue 9, p093505 

    The exact theoretical expressions involved in the formation of sheath in front of an electron emitting electrode immersed in a low-density plasma have been derived. The potential profile in the sheath region has been calculated for subcritical, critical, and supercritical emissions. The...

  • Kelvin waves with helical Beltrami flow structure. González, Rafael; Sarasua, Gustavo; Costa, Andrea // Physics of Fluids;Feb2008, Vol. 20 Issue 2, p024106 

    In this work we show that when an inviscid axisymmetric Rankine flow experiences a soft expansion, rotating Kelvin waves can be excited. Downstream of the region where the expansion occurs (the transition region) the resulting flow can be expressed as the addition of a Rankine and a Beltrami...

  • Initial stage of flat plate impact onto liquid free surface. Iafrati, Alessandro; Korobkin, Alexander A. // Physics of Fluids;Jul2004, Vol. 16 Issue 7, p2214 

    The liquid flow and the free surface shape during the initial stage of flat plate impact onto liquid half-space are investigated. Method of matched asymptotic expansions is used to derive equations of motion and boundary conditions in the main flow region and in small vicinities of the plate...

  • Computations for a Nonlinear Theory of Fluid Pressure Impulse. COOKER, M. J.; VANDEN-BROECK, J.-M. // Quarterly Journal of Mechanics & Applied Mathematics;Nov2001, Vol. 54 Issue 4, p585 

    During the impact of an ideal fluid on an impermeable surface, the velocity field undergoes a sudden change. For an irrotational flow the sudden change Q in the velocity potential is a harmonic function which satisfies a linear boundary condition on the solid surface of impact. But Q satisfies a...

  • SOLVABILITY OF INITIAL BOUNDARY VALUE PROBLEMS FOR EQUATIONS DESCRIBING MOTIONS OF LINEAR VISCOELASTIC FLUIDS. KARAZEEVA, N. A. // Journal of Applied Mathematics;2009, p59 

    The nonlinear parabolic equations describing motion of incompressible media are investigated. The rheological equations of most general type are considered. The deviator of the stress tensor is expressed as a nonlinear continuous positive definite operator applied to the rate of strain tensor....

  • Transparent lateral boundary conditions for baroclinic waves III. Including vertical shear. MCDONALD, A. // Tellus: Series A;Mar2009, Vol. 61 Issue 2, p227 

    The problem of how to adapt the so-called transparent boundary conditions to the physical reality that the horizontal advection velocity varies in the vertical, is addressed. A practical demonstration is presented of the transparency of the resulting �shear� boundary conditions.

  • EIGENVALUES, EIGENFUNCTIONS AND GREEN'S FUNCTIONS ON A PATH VIA CHEBYSHEV POLYNOMIALS. Bendito, E.; Encinas, A. M.; Carmona, A. // Applicable Analysis & Discrete Mathematics;Oct2009, Vol. 3 Issue 2, p282 

    In this work we analyze the boundary value problems on a path associated with Schrödinger operators with constant ground state. These problems include the cases in which the boundary has two, one or none vertices. In addition, we study the periodic boundary value problem that corresponds to...

  • Properties of a warm plasma collisional sheath in an oblique magnetic field. Ou, Jing; Yang, Jinhong // Physics of Plasmas;Nov2012, Vol. 19 Issue 11, p113504 

    The properties of a warm plasma collisional sheath in an oblique magnetic field and the associated sheath criterion are investigated with a two-fluid model. In the fluid framework, a sheath criterion including effects of the magnetic field and collision is established theoretically for a wide...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics