This article is cited in 1 paper

Kinematic model for long streamers. Self-similar description of the streamer evolution

V. A. Pavlov

St. Petersburg State University, St. Petersburg, 198904, Russia

Abstract: A nonlinear diffusion equation describing a long streamer is obtained using a kinematic approach. A self-similar solution of the one-dimensional problem of the unsteady evolution of the charge-density wave is obtained. The main features of the process are analyzed. It is established that the obtained analytical formulas can be used to analyze experimental and computer modeling data for a long spark. A comparison of these data shows that the self-similar solution can be used to describe the deceleration of the streamer.

Keywords: long spark, streamer, model description, self-similar problem.

UDC: 537.523.4

Received: 18.03.2009
Accepted: 08.09.2009

 English version: Journal of Applied Mechanics and Technical Physics, 2010, 51:6, 800–808

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