TECHNICAL MECHANICS
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UDC 533.9

Technical mechanics, 2019, 3, 45 - 53

NUMERICAL SIMULATION OF A SUPERSONIC FREE-MOLECULAR PLASMA FLOW AROUND A CHARGED CONDUCTING

DOI: https://doi.org/10.15407/itm2019.03.045

Lazuchenkov D. N., Lazuchenkov N. M.

Lazuchenkov D. N.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine

Lazuchenkov N. M.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine

      By the example of a model problem, this paper considers the effect of neighboring conducting bodies on the collection of charged plasma particles by a conducting cylinder. The aim of the paper is to study the effect of a nearby conducting body on the collection of the ion current by a charged cylinder in a supersonic cross flow of a collisionless nonisothermal plasma. Based on the two-dimensional Vlasov–Poisson system, a supersonic free molecular plasma cross flow past an infinitely long cylinder–strip system was simulated. The problem was solved numerically by a finite-difference relaxation method with splitting by physical processes on nested grids. When calculating the electron-repulsing locally equilibrium self-consistent electric field, use was made of the Poisson–Boltzmann approximation with a model electron density distribution. The paper analyzes the pattern of free-molecular nonisothermal plasma flow past a conducting cylinder – conducting strip system and introduces numerical parameters that determine the features of flow past the body system under consideration and the current collection by the cylinder. The ion current to a charged cylinder in a cross flow was calculated as a function of the cylinder potential, the degree of plasma nonisothermality, and the position of the cylinder relative to a conducting surface whose potential is close to the floating one. The numerical simulation made it possible to find quantitative characteristics of the effect of a conducting surface on the collection of the ion current by a charged cylinder. The results may be used in the development of scientific and process diagnostic instruments that interact with a low-temperature rarefied plasma flow and in the design of structural elements for advanced spacecraft and space systems.
     

rarefied nonisothermal plasma flow, cross flow past a cylinder–strip system, Vlasov–Poisson system, splitting method, nested grids, calculation of the current to a cylinder near a conducting surface

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DOI: https://doi.org/10.15407/itm2019.03.045

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