Abstract
The problem of an electric probe in the shape of a sphere in a weakly ionized three-component plasma at rest is studied. It is assumed that the probe diameter is appreciably larger than the mean free path of the charged particles and that the temperature of the probe surface differs from the temperature of the undisturbed plasma. The contribution of thermal-diffusion mass transport is taken into account in the expressions for the densities of the electric currents of the components. A new numerical method is developed to obtain a solution of the problem in a wide range of the determining parameters. The current-voltage characteristics are constructed. The influence of the probe temperature, the transport coefficients, and other parameters on the current-voltage characteristics is analyzed.
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V. V. Gogosov, V. A. Polyanskii, I. P. Semenova, and A. E. Yakubenko, “Equations of electrohydrodynamics and transport coefficients in a strong electric field,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2 (1969).
V. A. Polyanskii, “Diffusion and conductivity in a partly ionized many-temperature gas mixture,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1964).
I. M. Cohen, “Asymptotic theory of spherical electrostatic probes in a slightly ionized collision-dominated gas,” Phys. Fluids,6, No. 10 (1963).
A. A. Yasterbov, “Exact solution of the problem of measuring parameters of a dense plasma by means of a spherical probe,” Zh. Tekh. Fiz.,42, No. 4 (1972).
A. A. Yastrebov, “Method of solution of boundary-value problems for a Langmuir probe plasma,” Zh. Tekh. Fiz.,42, No. 6 (1972).
R. L. Chapkis and E. Baum, “Theory of a cooled electrostatic probe in a continuum gas,” AIAA J.,9, 1963 (1971).
V. M. Paskonov, “Standard program for solving boundary-layer problems,” in: Numerical Methods in Gas Dynamics [in Russian], Izd-vo MGU, Moscow (1963).
M. I. Ashin, I. A. Vasil'eva, and A. P. Nefedov, “Investigation into the influence of the temperature of a double cooled probe on the electron temperature measured by the probe in a plasma at atmospheric pressure,” Teplofiz. Vys. Temp.,7, No. 4 (1969).
J. F. Shaeffer and T. C. Peng, “High-potential clouds in jet-engine exhausts,” AIAA Paper, No. 397 (1976).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 103–112, March–April, 1979.
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Pankrat'eva, I.L., Polyanskii, V.A. Theory of cooled electric probes in a dense plasma. Influence of thermal diffusion. Fluid Dyn 14, 246–253 (1979). https://doi.org/10.1007/BF01051667
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DOI: https://doi.org/10.1007/BF01051667