204 CONCERN INi; IdE EFFECT OF UKAVITV 



(77- ZTT 



A^^X A^ C.s -J- :>■ -h A., C..S r-f . . 



/ 

 I 



where A^^j= ^ J <P (.') C(..s - (/a; 

 Nvhere A^^ = _J^ y^' <I> (,,•) r^r. 



Let (n) be the diffcMeiice in concenlration between the initial and 

 final at the plane PM, which is of course ecjual to that at the 

 plane NQ 



Then at time T = o 



•2nx 

 4) (x) = o — from V to ( 



<J) (x') = - — - '3a fi'<nn / to '11 



I /*' / 2fu;x ., rrnr , 



.• A = — / I (I — — \ C/os — — X (W 

 ■ '» / w'o V / / / 



1 /•2' /Ja.r \ m-TT , 



+ ^ y (, , — iV^jCos -pa-(/x 



r a/ mTr.,-!' 'la V xl mir V^ »«7r.<-|' 



••• A.= l^ Sin --^j- ttUt^'^'"— ■'■+ ;;i%^^^'-7 J, 



2a V xl mir , J'' ^, '»7r I'' 

 , _ — - - Sin -r- ■r-\ 5-T ^os -^ X 



[:Vt ./ . miT -|-' 

 -, - Sm— — .,• 



I VITT I Jo 



... Aw = (".... (Sin irnrj 



J_ ili_ / - Cos ///TT 4- Cos o 4- Cos '_'/»7r - Cos mTTJ 

 r/i-TT- V 



= o wlien "' ni " is even 



Ha , ,, •• • 11 



__ -— — when " III IS oilil 



m*7r- 



