Combined Effect of Ion Temperature and Magnetic Field on Collisionless Sheath Structure

Kaouini, Morad El; Chatei, Hassan

doi:10.1007/s10894-011-9486-0

Cited by 8 publications

(6 citation statements)

References 20 publications

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“…(17) and (18), it is easy to see that the dimensionless source terms s i and s e in Eqs. (1)- (14) are given by…”

Section: Modelmentioning

confidence: 99%

“…In this way, neither ion heating nor cooling is enforced at the boundary. Before systems (9)-(16) with (14) replaced by Eq. (30) can be solved, the ion heat conduction coefficient must be selected.…”

Section: Some Remarks On the Closure Of The Fluid Equations-effecmentioning

confidence: 99%

“…15 and 16, individual terms of Eqs. (14) and (30) are analyzed separately. For practical purposes, the following notation is introduced: dX 2 is shown, and in (f), the negative derivative of the ion temperature À dH dX is presented.…”

Section: Some Remarks On the Closure Of The Fluid Equations-effecmentioning

confidence: 99%

“…It is, therefore, not surprising that the problem of the ion temperature effects to the plasma-sheath formation is still mainly studied with one dimensional steady-state fluid models. [9][10][11][12][13][14][15][16][17] In these papers, the ions are treated with continuity and momentum exchange equation, while the Boltzmann relation is assumed for the electrons and also for negative ions if they are present in the plasma. 15,18 In the above mentioned papers, the closure is made by the assumption that the ions are isothermal and ideal gas law is used to eliminate the pressure gradient term from the momentum exchange equation.…”

Section: Introductionmentioning

confidence: 99%

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Numerical analysis of ion temperature effects to the plasma wall transition using a one-dimensional two-fluid model. I. Finite Debye to ionization length ratio

Gyergyek

Kovačič

2017

Physics of Plasmas

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A one-dimensional, two-fluid, steady state model is used for the analysis of ion temperature effects to the plasma-wall transition. In this paper, the model is solved for a finite ratio between the Debye and the ionization length, while in Part II [T. Gyergyek and J. Kovačič, Phys Plasmas 24, 063506 (2017)], the solutions for [Formula: see text] are presented. Ion temperature is treated as a given, independent parameter and it is included in the model as a boundary condition. It is shown that when the ion temperature larger than zero is selected, the ion flow velocity and the electric field at the boundary must be consistent with the selected ion temperature. A numerical procedure, how to determine such "consistent boundary conditions," is proposed, and a simple relation between the ion temperature and ion velocity at the boundary of the system is found. The effects of the ion temperature to the pre-sheath length, potential, ion temperature, and ion density drops in the pre-sheath and in the sheath are investigated. It is concluded that larger ion temperature results in a better shielding of the plasma from the wall. An attempt is made to include the ion heat flux into the model in its simplest form [Formula: see text], where [Formula: see text] is a constant heat conduction coefficient. It is shown that inclusion of such a term into the energy transfer equation introduces an additional ion heating mechanism into the system and the ion flow then becomes isothermal instead of adiabatic even in the sheath.

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“…(17) and (18), it is easy to see that the dimensionless source terms s i and s e in Eqs. (1)- (14) are given by…”

Section: Modelmentioning

confidence: 99%

Section: Some Remarks On the Closure Of The Fluid Equations-effecmentioning

confidence: 99%

Section: Some Remarks On the Closure Of The Fluid Equations-effecmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical analysis of ion temperature effects to the plasma wall transition using a one-dimensional two-fluid model. I. Finite Debye to ionization length ratio

Gyergyek

Kovačič

2017

Physics of Plasmas

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“…It is stated that the ion velocity at the sheath edge must be at least equal to the sound speed of the ions, which provides the boundary condition for determining the profiles of plasma parameters. Since then, many researchers [5,10,[12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] have tried to investigate the sheath criterion under different physical conditions, such as external magnetic field and ion temperature, and have analyzed the sheath characteristics from different aspects. Nevertheless, most studies have treated the problem without considering the ion source term in the physical model.…”

Section: Introductionmentioning

confidence: 99%

Modeling of magnetized collisional plasma sheath with nonextensive electron distribution and ionization source

Chen¹,

Yang²,

An³

et al. 2023

Plasma Sci. Technol.

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The properties of atmospheric pressure collisional plasma sheath with non-extensively distributed electrons and hypothetical ionization source terms are studied in this work. The Bohm criterion for the magnetized plasma was extended in the presence of an ion-neutral collisional force and ionization source. The effects of electron non-extensive distribution, ionization frequency, ionneutral collision, magnetic field angle and ion temperature on the Bohm criterion of the plasma sheath are numerically analyzed. The fluid equations are solved numerically in the plasma-wall transition region using a modified Bohm criterion as the boundary condition. The plasma sheath properties such as charged particle density, floating sheath potential and thickness are thoroughly investigated under different kinds of ion source terms, the contributions of collisions, and magnetic fields. The results show that the effect of the ion source term on the properties of atmospheric pressure collisional plasma sheath is significant. As the ionization frequency increases, the Mach number of Bohm criterion decreases and the range of possible values narrows. When the ion source is considered, the space charge density increases, the sheath potential drops more rapidly, and the sheath thickness becomes narrower. In addition, ion-neutral collision, magnetic field angle and ion temperature also significantly affect the sheath potential profile and sheath thickness.

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Investigation of magnetized plasma sheath in the presence of q-nonextensive electrons and negative ions

Asserghine

Kaouini

Chatei

2020

Materials Today: Proceedings

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Combined Effect of Ion Temperature and Magnetic Field on Collisionless Sheath Structure

Cited by 8 publications

References 20 publications

Numerical analysis of ion temperature effects to the plasma wall transition using a one-dimensional two-fluid model. I. Finite Debye to ionization length ratio

Numerical analysis of ion temperature effects to the plasma wall transition using a one-dimensional two-fluid model. I. Finite Debye to ionization length ratio

Modeling of magnetized collisional plasma sheath with nonextensive electron distribution and ionization source

Investigation of magnetized plasma sheath in the presence of q-nonextensive electrons and negative ions

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