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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 6, Pages 31–41
(Mi pmtf1655)
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This article is cited in 1 scientific paper (total 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.
Received: 18.03.2009 Accepted: 08.09.2009
Citation:
V. A. Pavlov, “Kinematic model for long streamers. Self-similar description of the streamer evolution”, Prikl. Mekh. Tekh. Fiz., 51:6 (2010), 31–41; J. Appl. Mech. Tech. Phys., 51:6 (2010), 800–808
Linking options:
https://www.mathnet.ru/eng/pmtf1655 https://www.mathnet.ru/eng/pmtf/v51/i6/p31
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