• Aucun résultat trouvé

PARTICLE DISTRIBUTIONS IN METAL VAPOUR-RARE GAS ARC DISCHARGES

N/A
N/A
Protected

Academic year: 2021

Partager "PARTICLE DISTRIBUTIONS IN METAL VAPOUR-RARE GAS ARC DISCHARGES"

Copied!
3
0
0

Texte intégral

(1)

HAL Id: jpa-00219108

https://hal.archives-ouvertes.fr/jpa-00219108

Submitted on 1 Jan 1979

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

PARTICLE DISTRIBUTIONS IN METAL VAPOUR-RARE GAS ARC DISCHARGES

K. Jayaram, K.H. Tsui

To cite this version:

K. Jayaram, K.H. Tsui. PARTICLE DISTRIBUTIONS IN METAL VAPOUR-RARE GAS ARC DISCHARGES. Journal de Physique Colloques, 1979, 40 (C7), pp.C7-275-C7-276.

�10.1051/jphyscol:19797135�. �jpa-00219108�

(2)

JOURNAL DE PHYSIQUE CoZSoque C7, suppZdment au n07, Tome 40, JuiZZet 5979, page C7- 275

PARTICLE DISTRIBUTIONS IN METAL VAPOUR-RARE GAS ARC DISCHARGES

K. Jayaram and K.H. ~ s u i .

Institute de Fisica, U n i v ~ r s i d a d e Federa2 FZwninense, f l i t e r z i , Rio de Janeiro,24000 BraaiZ.

INTRODUCTION :

S t u d y o f g a s d i s c h a r g e s w i t h c o n t a m i n a t e d m e t a l vapour h a s g a i n e d i m p o r t a n c e b e c a u s e o f t h e i n e v i t - a b l e p r e s e n c e o f m e t a l vapour i n I n d u s t r i a l Discha- r g e d e v i c e s . Also, t h e r o l e of m e t a l vapour imp- u r i t i e s i n f u s i o n - t y p e d e v i c e s i s b e i n g i n c r e a s i n g - l y i n v e s t i g a t e d . I n c o n n e c t i o n w i t h m e t a l vapour c o n t a m i n a t e d a r c d i s c h a r g e s , i t h a s been noted by one of t h e a u t h o r s / l / t h a t s u b s t a n t i a l d i f f e r e n c e s i n t r a n s p o r t p r o p e r t i e s o f a plasma c a n a r i s e d u e t o t h e p r e s e n c e o r m e t e 1 vapour i m p u r i t i e s . Find- i n g s c f a similar n a t u r e have been r e p o r t e d e l s e - where/2,3/. F u r t h e r , i n a m o d i f i e d t y p e o f Maecker a r c t h e c o l l i s i o n c r o s s s e c t i o n of n e u t r a l metal a t o m s w i t h r a r e g a s a t o m s h a s been d e t e r m i n e d / 4 / . Arc d i s c h a r g e between m e t a l e l e c t r o d e s is a l t h o u g h b a s i c a l l y s i m p l e h a s a number of c o m p l i c a t e d mech- a n i s m s s u s t a i n i n g i t . I n o t h e r :vords; uihile mode- l l i n g a n a r c d i s c h a r g e one h a s t o c o n s i d e r ; r a d i a l / a x i a l t e m p e r a t u r e snd d e n s i t y g r a d i e n t s , d i f f u s i o n , r e c o m b i n a t i o n and even c h e m i c a l a c t i v i t i e s . The main aim o f t h i s p a p e r i s t o o f f e r a t h e o r e t i c a l e x p l a n a t i n n t o t h e e x p e r i m e n t a l l y o b s e r v e d heavy p a r t i c l e d i s t r i b u t i o n i n a r s r e g a s , m e t a l vapour a r c d i s c h a r g e .

STF3ILIZED ARC MEASUREMENTS:

A b r i e f d e s c r i p t i o n of t h e m e t a l vapour w a l l s t a b i - l i z e d a r c of s p e c i e 1 d e s i g n i s g i v e n i n /S/, B r i e f - l y i t is a s i m p l i f i e d v e r s i o n of Maecker t y p e a r c w i t h J u s t two s t a b i l i z i n g d i s c s . The arc d e v i c e i s d e s i g n e d t o b e e v a c u a t e d s o as t o f a c i l i t a t e r u n n i n g i n a n y t y p e of g a s . 1 0 , 1 5 and 2OA DC a r c s were r u n between c o p p e r e l e c t r o d e s i n a p u r e Helium medium a t e t m o s p h e r i c p r e s s u r e w i t h a s t a b i l i z i n g h o l e d i a m e t e r o f G mm. A x i a l e l e c t r i c a l g r a d i e n t s u s i n g p r o b e s , arc c u r r e n t and r a d i a l t e m p e r a t u r e d i s t r i b u t i o n s u s i n g c o p p e r s p e c t r a l l i n e s p e c t r o - graphy have been d e t e r m i n e d . O p t i c a l t h i n n e s s of e m i t t i n g r e g i o n s f o r c o p p e r l i n e s u s e d h a s been ve- r i f i e d r e s o r t i n g t o i n t e n s i t i e s w i t h i n a m u l t i p l e t t Copper v a p o u r p r e s s u r e d i s t r i b u t i o n h a s been d e t e r - mined by c o r r e a l t i n g t e m p e r a t u r e d i s t r i b u t i o n and t h e measured r e l a t i v e i n t e n s i t y of a s p e c t r a l l i n e . The d i f f e r e n t c h a r a c t e r i s t i c s and o t h e r d e t a i l s have been p u b l i s h e d e l s e w h e r e / 6 / a n d o n l y t h e r a d i a l d i s t r i b u t i o n o f copper vapour i n a 10A a r c o b t a i n e d by t h e above p r o c e d u r e is reproduced i n F i g . 1 . It may Dw.observed t h a t n e u t r a l c o p p e r atoms a p p e a r s t o p i l e - u p near t h e w a l l o f t h e d i s c h a r g e . T h i s i s n o t a p e c u l i a r i t y of t h i s e x p e r i m e n t b u t h a s been o b s e r v e d e l s e w h e r e / 7 / . With t e m p e r a t u r e a t t a i n i n g a

maximum i n t h e c e n t e r o f t h e a r c and assuming LTE t o hold(which i s probably t r u e forO.Z<T<O.8, : normalized r a d i u s ) , t h i s means t h a t t h e i o n i z e d components a r e a l s o i n f l u e n c e d by t h i s p i l e - u p e f f e c t . A t h e o r e t i c a l e x p l a n a t i o n f o r t h i s e f f e c t i s given.

.THEORY:

S i n c e t h e a r c c u r r e n t

-

i s s m a l l , both t h e O/o i o n - i z a t i o n and m a g n e t i c p r e s s u r e i n t h e d i s c h a r g e a r e s m a l l and hence t h e d e n s i t y d i s t r i b u t i o n i s domi- n a n t l y governed by t h e n e u t r a l components. F u r t h e r , n e u t r a l helium g a s which r e m a i n s u n i o n i z e d due t o low a v a i l a b l e t h e r m a l e x c i t a t i o n e n e r g y f i l l s t h e whole volume and n e u t r a l e x c i t e d c o p p e r o c c u p i e s t h e d i s c h a r g e volume; a v e r y s m a l l f r a c t i o n o f t h e t o t a l volume. It is assumed here. t h a t t h e h e a t produced i n t h e i o n i z e d d i s c h a r g e component, namely n o u t r a l c o p p e r i s t r a n s f e r r e d t o and d i f f u s e d by Helium. Also, n e u t r a l c o p p e r i s assumed t o be s t r e a m i n g t h r o u g h stationary Helium. T h i s is a r e a s o n a b l e a s s u m p t i o n , f i r s t l y b e c a u s e Helium i s d o m i n a t i n g and s e c o n d l y t h e Copper coming o f f t h e e l e c t r o d e s must s u r e l y have a d i r e c t e d v e l o c i t y . A l 1 components i n t h e d i s c h a r g 8 a r e assumed t o s h a r e t h e same e x p e r i m e n t s l l y o b t a i n e d r a d i a l t e m p e r a t u r e p r o f i l e . lVith t h e s e a s s u m p t i o n s t h e momentum G e n e g gy c o n s e r v a t i o n r e a l t i o n s y i e l d t h e f o l l o w i n g equations+,

VRsvr,rn, q,l.i,--0

a. q=

QI ---@ M, m,i3,,2=n2.w2%, 0~:-n,rn2~,<---o

o=q+%g-@

0,

-

az

l=Helium,2=Copper,p=Parial pressure,n=number of p a r t i c l e s , m = m a s s , ~ = c o l l i s i o n fr e q u e n c y , Q=energy ,F=

f r i c t i o n f o r c e , X = t h e r m a l c ~ n d u c t i v i t y , ~ = v e l o c i t y and t h e s e l e a d t o

~ ( p , + p ~ ~ ~ o - - - - @ ; JZ

8~

-uz.FL--@

~ q u a t i o n s ( 3 ) ~ ( 6 ] r e d u c e s t o 3 P z / x = -h)eq2%t%

$0111 in% : uz= -2$;/c nzw)2 &J 4

u s i n g t h e d e f i n i t i o n of A l =

';lq,

t h e p a r t i c a l p r e s s u r e s o f ~ e l i u m - a n d - 6 6 p p e r a r e g i v e n by

- P~FA &. aP%R= ~,f@$&'-

-@

w i t h

v/l

a l w a y s n e g a t i v e . . I t i s p o s s i b l e t o f i n d a n a l y t i c a l e x p r e s s i o n s f o r p l and p2 by p a t c h i n g a z e r o - o r d e r a e s s e l f u n c t i o n f o r t h e t e m p e r a t u r e d i s - t r i b u t i o n , f o r example, ~(j%[1(1h) where Kt=

)(;//i

R i s t h e r a d i u s o f t h e arc, where a r c t e m p e r a t u r e d r o p s t o room t e m p e r a t u r s , X1 i s t h e f i r s t z e r o of Ja and To is a x i s temperature. By i n s e r t i n g seve-

Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:19797135

(3)

r a l ( T , r) from e x p e r i m e n t a l l y o b t a i n e d d i s t r i b u t i o n a v a l u e o f R=2.5

9

, where is t h e d i s c h a r g e rad-

! i u s was o b t a i n e d , By a p p l y i n g L a p l a c e ' s o p e r a t o r it i s e a s y t o approximate

v.d

% b y -kJLand t h e par- t i a l p r e s s u r e s a r e t h e n gi"&n by

R ~ ~ ~

W

(

s

R(O)+~,(O)[I-Z~~'~I ~ F ~ ~ ~ " ~

and t h e d e n s i t i e s a r e g i v e n by

S i n c e t h e a r c o p e r a t e s a t a t m o s p h e r i c p r e s s u r e Y),(op ,.

3x1d gd

n2(0) from e x p e r i m e n t i s

*

I ~l$&?

-

2-40 6

Y - r n

we C& o b t a i n t h e o r e t i c a l d i s t r i b u t i o n s o f vl,(&)+ n,@)

.

From n2(%) a p p l y i n g Saha e q u a t i o n s , t h e c h a r g e d p a r t i c l e d i s t r i b u t i o n s c a n b e e s t a b l i s h e d .

A comparison of e x p e r i m e n t a l and t h e o r e t i c a l r e s u - l t s a r e made i n F i g . 2 ,

CONCWSIONS

As c a n b e s e e n from F i g . 2 , t h e t h e o r e t i c a l and ex- p e r i m e n t a l c u r v e s a g r e e o n l y q u a l i t a t i v e l y w i t h r e - g a r d t o t h e t r e n d o f t h e i r s l o p e s . P r o b a b l y b e t t e r a g r e e m e n t w i t h e x p e r i m e n t may b e o b t a i n e d by numeri c a l l y p r o c e s s i n g t h e p a r t i a l p r e s s u r e e q u a t i o n s @ ,

r a t h e r t h a n o b t q i n i n g a n a n a l y t i c a l s o l u t i o n which i n v o l v e s a d d i t i o n a l a s s u m p t i o n s . However, t h e p i l e - up e f f e c t i s e v i d e n t and t h i s o c c u r s a t t h e e x p e n s e o f Helium a c c u m u l a t i n g a t t h e a r c c e n t e r . F u r t h e r , i n o r d e r t o u n d e r s t a n d t h i s mechanism b e t t e r i t

*ill b e n a c E a s a r y t o know t h e metal v a p a u r elm- l u t i o n p r o c e s s and r e c o m b i n a t i o n mechanisms.

Acknowledgement

One of t h e a u t h o r s (KJ) t h a n k s t h e A u s t r a l i a n 3e- s e a r c h G r a n t s Committee f o r t h e PD f e l l o w s h i p and members o f t h e Plasma E n g i n e e r i n g Group of Sydney U n i v e r s i t y f o r t h e i r p a r t i c i p a t i o n and h e l p . He e l s o t h a n k s P r o f . D.'~V.George, Vice-Chancellor o f Univ. o f Newcastle f o r h i s g u i d a n c e and P r o f . J.

Uhlenbusch o f Univ. o f DUsseldorf f o r a d i s c u s s i o n on t h i s t o p i c .

R e f e r e n c e s

/1/ J A Y A R R M , I < : ~ ~ ~ . 271,217 (1974).

/2/ Sakuda e t a l : J a p . I n s t . o f E l e c . E n g r s . , P l a s - ma Research Group r e q o r t , EP-76-30,l-9 (1976).

/3/ A i r e l y , D.R. st a l ; IEEE T r a n s . on PAS, PAS-95, No. 1, P 1 (1975).

/4/ Jayaram, K. G Kane, E.L.: 1 3 t h ICPIG, Bedin, 497-498 (1979).

/5/ Miyachi, I. G Jayaram, K.: Rev. S c i . I n s t . 42, 1002 (1971).

/6/ Jayaram, K. G Kam, T.M.: C h a r l e s K o l l i n g R e s . Lab. r e p o r t , Sydney Univ., T-N P-8, 1-26(1974), s e e a l s o / 4 / a b o v e .

/7/ S c h n e i d e r , R.T. e t a l : App. S p e c t r o . Vol. 24, No. 2, 253-258 (19701, s e e a l s o Mack, J.M. : T h e s i s , Univ. F l o r i d a (1969).

4a@

0-0 &I 0 2 Od 0 4 69 0( 8'7 @g W 19

ARC R A D I U S - Ft q. I

-

ExPERIML(IT to I3

emu u @.a e4.I 04 *I H W ('m ARC RADrIJs

-

F r G . 2

Références

Documents relatifs

To test whether the vesicular pool of Atat1 promotes the acetyl- ation of -tubulin in MTs, we isolated subcellular fractions from newborn mouse cortices and then assessed

Néanmoins, la dualité des acides (Lewis et Bronsted) est un système dispendieux, dont le recyclage est une opération complexe et par conséquent difficilement applicable à

Cette mutation familiale du gène MME est une substitution d’une base guanine par une base adenine sur le chromosome 3q25.2, ce qui induit un remplacement d’un acide aminé cystéine

En ouvrant cette page avec Netscape composer, vous verrez que le cadre prévu pour accueillir le panoramique a une taille déterminée, choisie par les concepteurs des hyperpaysages

Chaque séance durera deux heures, mais dans la seconde, seule la première heure sera consacrée à l'expérimentation décrite ici ; durant la seconde, les élèves travailleront sur

A time-varying respiratory elastance model is developed with a negative elastic component (E demand ), to describe the driving pressure generated during a patient initiated

The aim of this study was to assess, in three experimental fields representative of the various topoclimatological zones of Luxembourg, the impact of timing of fungicide

Attention to a relation ontology [...] refocuses security discourses to better reflect and appreciate three forms of interconnection that are not sufficiently attended to