About the authors
| First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address. | Safiullin R.K. – doctor of physical-mathematical sciences, professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1 |
| Title of the article | Numerical investigation of glow discharge characteristics in transverse discharge chambers in electronegative gas flow |
| Abstract. | Transverse glow discharge chambers in electronegative gas flow were investigated numerically by alternating direction method. A case of continuous anode and partitioned cathode was considered. As a result, two-dimensional distributions of charged particles and of electric potential inside such chambers were obtained. These investigations continue those in the papers [1-3]. A system of elliptic equations (4), (7-10) was solved by alternating direction method11 in two-dimensional subspace XY. Calculations were carried out for a rectangle with sides a and b which contained 1 mm width lamellate cathode and continuous anode. The uniform difference grid (100x100) was used.The boundary conditions were taken as in [7]. They were also widely varied with a view to evaluate their influence on the solution. Under given boundary conditions the program elaborated enables to calculate two-dimensional distributions of electric potential and charged particle densities inside discharge chamber. The calculations showed the strong dependence of these distributions on boundary conditions. They showes also that in contrary with the results of one-dimensional analysis in [6], E has a maximum near cathode and decreases towards anode. The same result was also received in [13]. It indicates that in view of strong nonhomogeneity of such GDF the one-dimensional approach evidently turns out to be inadequate. The calculations were carried out for gas velocities in the range 30-250 m/sec. The voltage drop between electrodes was put equal 1400 V, the static pressure p at entry was varied in the range 4-10 kPa, and gas temperature T at entry was put equal 293 K. The qualitative and semi-quantitative agreement with experiment [13] was achieved.The calculations showed also that space distributions of charged particles strongly depend on ambipolar diffusion coefficients Dea, Dpa, Dna. As was proposed in [4] ambipolar diffusion coefficient for negative ions Dna could be even negative. The difference scheme of alternating direction method gives diverging solution at negative values of Dna. As follows from our calculations, the deviation from plasma quasi-neutrality may achieve 3-4 % within the positive column, whereas near electrodes it may be an order of magnitude more (depending on boundary conditions). As an example, the calculated space distributions of electron and ion densities and also of electric potential inside a discharge chamber are presented in figs. 2-14. |
| Keywords. | Glow discharge, gas flow, discharge chamber, spatial distribution of charged particles, electric potential. |
| For citations: | Safiullin R.K. Numerical investigation of glow discharge characteristics in transverse discharge chambers in electronegative gas flow // Izvestiya KGASU. 2011. №4(18) P.341-348. |
