Untformly Valtd Soluttons of Laplace Equatton 
22 ao" 
Ot 
x(s) + eC(s) he OE SD) sats 
(P my + 
Ho + Hpi ne 200%; 84 Ho +H) , 
2 Tt 7 2 
(p) 
(. 265 \S) 8 
+e€ a4 Ysin.a(s) +P sah cose +9 (Loge sing + cos>)+ d,(s) sin? 
es ee ~ 2 22) ‘Gall aah -He 
Se ER Ra ae age clk ade €3 
+r = ( Log p) a 5 \ o €?Loge) (35) 
For the sharp trailing edge, the outer expansion is singular 
for the symmetric problem, as shown on figures 8 and 9 
-g (e) oe 
p~l1 - € Log p Sapa p=np +o 
From this result, the study of the vicinity of a sharp trailing edge 
requires an inner region with thickness of order 7 = 0 ( entfe ). The 
behaviour of the inner solution at infinity, for this layer, is given by 
the outer solution (34) : 
® = x(s) +€(co(s)t€o(s)) +E ce 4 p-Psina(s)|cosO@ +0 (ee %) (36) 
qT 
IV.I The neighbourhood of a round leading edge 
The full problem, to be solved in the general case of an un- 
symmetric nose is written below : 
=e S C = = 
Ne i (s) \¥ teea ) ) 
ee RS: = 52.274 0 PG (a,< o) 
-. Matching condition (35) at infinity 
Figure IO The local problem for an unsymmetric 
leading edge 
Lat Si. 
