Nonlinear problem of an electrical discharge in a flow

✍ Scribed by Liron, N.

• Publisher: Springer
• Year: 1973
• Tongue: English
• Weight: 543 KB
• Volume: 28
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00413053

✦ Synopsis

T h e nonlinear intial b o u n d a r y value problem describing the r e l a x a t i o n of a q u a s i -n e u t r a l discharge in a gas flow w i t h coplanar, h e a t e d a n d n o n h e a t e d electrodes of finite extension is f o r m u l a t e d in t h e diffusion a p p r o x i m a t i o n . R e l a x a t i o n occurs from an initial b r e a k d o w n to a s t e a d y -s t a t e or zero discharge in a w e a k electric field. A nonlinear t r a n s f o r m a t i o n is applied to get a n e q u i v a l e n t n o n l i n e a r problem, where n o n l i n e a r i t y is t r e a t e d as a small p e r t u r b a t i o n . An analytic solution is obtained a n d criterions for existence a n d s u s t a i n m e n t of a s t e a d y -s t a t e discharge against p l a s m a losses due to convection, diffusion a n d r e c o m b i n a t i o n is discussed. Some numerical results are exhibited.