The charge and potential of dust particle in plasma under conditions of diffusion charging

Kashevarov, A. V.

doi:10.1134/s0018151x08050027

Cited by 1 publication

(2 citation statements)

References 8 publications

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“…It is easy to show that the equation forñ − has the form (10). Equation (10) implies that for high probe potentials (ψ p 1), where I − → 0, the electron concentration and the potential are related as n − = exp (−ψ). The above representation for n − provides this relationship in the computations and plays the role of a regularizer by ensuring convergence of the iterative process to the solution of system (9)-(12).…”

Section: Methods Of Solutionmentioning

confidence: 99%

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Characteristic of a Spherical Probe in a Stationary Gas during Ionization of Alkaline Metals

Kashevarov

2010

J Appl Mech Tech Phy

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This paper considers a spherical Langmuir probe in a stationary weakly ionized collisional plasma consisting of neutral molecules, positive ions, and the electrons resulting from ionization of additive atoms. The effect of the ionization of the additive and recombination of charged particles on the current-voltage characteristics of the probe was studied numerically under the assumption that the plasma is isothermal. Probe characteristics are presented in the form of plots over a wide range of the ratio of the Debye radius to the radius of the probe for various types of particle-surface interactions.Introduction. An electrical probe is one of the main diagnostic tools for a low-temperature plasma. Its use in a plasma at a high pressure (of the order of atmospheric pressure) involves the problem of interpreting the results of probe measurements. To determine the concentration of charged particles from the current-voltage characteristic (CVC) of the probe, one first needs to solve a complex system of nonlinear differential equations. As a rule, this can be done only numerically. This problem was solved only in the simplest formulation, namely, for a spherical probe in a stationary isothermal weakly ionized plasma in the presence of frozen chemical reactions [1]. In [1], probe characteristics are given for a wide range of the ratio of the Debye screening radius to the probe radius α = λ D /R: from α 1 to α → ∞. The CVC of a spherical probe in a moving plasma (two-dimensional problem) is calculated in [2] for one value of α ≈ 0.05. For α 1, an electric boundary layer is formed near the surface of the probe, which complicates the solution of the problem. Previously, calculations were made of saturation currents, i.e., the limiting currents to a probe, for α → 0 and a probe potential ψ p → ±∞ [3]. In [4], the ion saturation current in a slowly moving plasma (Reynolds number Re ≈ 10) in the presence of frozen chemical reactions was calculated for probe measurements in a flame with alkaline additives. The point in the experimental probe characteristic at which the probe current was equal to the theoretical saturation current was chosen from the results [1] which predict a slow increase in the ion current beginning at the value of the dimensionless potential ψ p ≈ 10 for α = 10 −3 .Probe measurements in flames with an alkaline additive are conducted under conditions of ionization of the additive and recombination of charged particles

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Section: Methods Of Solutionmentioning

confidence: 99%

“…The formulated boundary-value problems were solved numerically using the method used in [10] to calculate the potential and charge of a spherical dust particle. The change of variable ξ = 1/r transforms Eqs.…”

Section: Methods Of Solutionmentioning

confidence: 99%

Characteristic of a Spherical Probe in a Stationary Gas during Ionization of Alkaline Metals

Kashevarov

2010

J Appl Mech Tech Phy

Self Cite

View full text Add to dashboard Cite

show abstract

The charge and potential of dust particle in plasma under conditions of diffusion charging

Cited by 1 publication

References 8 publications

Characteristic of a Spherical Probe in a Stationary Gas during Ionization of Alkaline Metals

Characteristic of a Spherical Probe in a Stationary Gas during Ionization of Alkaline Metals

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